Publications
My editorials for IEEE Control Systems
Books
P.-A. Absil, R. Mahony, R. Sepulchre. Optimization algorithms on matrix manifolds. Princeton University Press, 2008.
Note that a pdf version of the book is freely available from the publisher website. We also maintain a page with some information about the book.
R. Sepulchre, M. Jankovic and P.V. Kokotovic. Constructive Nonlinear Control. Springer-Verlag, Series in Communications and Control Engineering, 1997. The book is out of print. You can download the monograph here (pdf format, 1,5MB )
Preprints (and unpublished papers)
T. Kirby, L. Ribar, R. Sepulchre, Reliability of Event Timing in Silicon Neurons, 2021.
F. Forni, A. Mauroy, R. Sepulchre. Differential positivity characterizes one-dimensional normally hyperbolic attractors, arXiv:1511.06996.
J. Dethier, G. Drion, A. Franci, R. Sepulchre. Modulation of beta oscillations during movement initiation: modeling the ionic basis of a functional switch, arXiv:1311.2238.
G. Drion, A.Franci, V. Seutin, R. Sepulchre. Modulation and Robustness of Endogenous Neuronal Spiking, arXiv:1311.2200.
B. Mishra, K. Adithya Apuroop, R. Sepulchre. A Riemannian geometry for low-rank matrix completion, arXiv:1211.1550. (For a published version, see Conference paper [7]).
Journal papers
R. Schmetterling, F. Forni, A. Franci, R. Sepulchre, Neuromorphic Control of a pendulum, to appear in IEEE Control Systems Letters, 2024.
C. Mostajeran, N. Da Costa, G. Van Goffrier, R Sepulchre, Differential geometry with extreme eigenvalues in the positive semidefinite cone, to appear in SIAM Journal of Matrix Analysis, 2024.
Th. Burghi, R. Sepulchre. Online estimation of biophysical neural networks, To appear in IEEE Transactions on Automatic Control, 2024.
J-G. Lee, R. Sepulchre. Rapid and robust synchronization via weak synaptic coupling. To appear in Automatica, 2023.
T. Chaffey, R. Sepulchre. Monotone one-port circuits, IEEE Transactions on Automatic Control. 2023. Early access.
T. Chaffey, F. Forni, R. Sepulchre. Graphical Nonlinear System Analysis, IEEE Transactions on Automatic Control, vol. 68, n 10, pp. 6067-6081, 2023.
H. van Waarde, R. Sepulchre. Kernel-based models for system analysis, IEEE Transactions on Automatic Control, vol.68, n 9, pp. 5317-5332, 2023.
R. Schmetterling, Th. Burghi, R. Sepulchre. Adaptive Conductance Control. Annual Reviews in Control Volume 54, 2022, Pages 352-3622. arxiv:2204.08711
A. Das, T. Chaffey, R. Sepulchre. Oscillations in Mixed-Feedback Systems, Systems & Control Letters,Volume 166, August 2022, 105289.
R. Sepulchre. Spiking Control Systems, IEEE Proceedings, Vol. 110, May 2022, pp. 577-589. arxiv:2112.03565
M. Jozsa, T. Donchev, R. Sepulchre, T. O’Leary. Autoregulation of switching behavior by cellular compartment size, Proceedings of the National Academy of Science, March 2022.| 119 (14) e2116054119.
F. Miranda, F. Forni, R. Sepulchre. Dissipativity analysis of negative resistance circuits. Automatica, Vol. 136, February 2022, arXiv:1908.11193
Ch. Grussler, R. Sepulchre. Variation-diminishing LTI systems. Automatica, Vol.136, February 2022 arXiv:2006.1003
Ch. Grussler, T. Damm, R. Sepulchre. Balanced truncation of k-positive systems, IEEE Transactions on Automatic Control Volume: 67, Issue: 1, Jan. 2022 arxiv:2006.13333
L. Ribar, R. Sepulchre. Neuromorphic control. IEEE Control Systems, Vol 41, No 6. December 2021. arxiv:2011.04441
A. Padoan, F. Forni, R. Sepulchre. Balanced truncation for model reduction of biological oscillators, Biological Cybernetics 115, 383–395 (2021).
A. Padoan, F. Forni, R. Sepulchre. Model reduction of dominant feedback systems, accepted for publication in Automatica, 2021, arxiv:2005.08241.
F. Miranda, R. Sepulchre. Differential dissipativity analysis of reaction-diffusion systems, Systems and Control Letters, Volume 148, February 2021, 104858. arxiv.org/abs/2005.00940
T. Van Pottelbergh, G. Drion, R. Sepulchre. From biophysical to integrate-and-fire modelling, Neural Computation, Vol. 33, Issue 3, pp.563-589, 2021. arXiv:2006.10113
Th. Burghi, M. Schoukens, R. Sepulchre. Feedback Identification of conductance-based models, Automatica, Volume 123, January 2021, 109297. arXiv:2002.09626
I. Cirillo, R. Sepulchre. The geometry of rest-spike bistability, Journal of Mathematical Neuroscience, vol. 10, No 13, 2020.
C. Mostajeran, Ch. Grussler, R. Sepulchre. Geometric Matrix Midranges, SIAM Journal of Matrix Analysis, 41(3), pp. 1347–1368, 2020. arXiv:1907.04188
L.-H. Lim, R. Sepulchre, and K. Ye. Geometric distance between positive definite matrices of different dimensions, IEEE Transactions on Information Theory, 2019. arxiv.org/abs/1806.01428
L. Ribar, R. Sepulchre. Neuromodulation of Neuromorphic Circuits, IEEE Transactions on Circuits and Systems I:Regular Papers, Vol.66 , Issue: 8 , Aug. 2019. arxiv.org/abs/1805.05696
F. Forni, R. Sepulchre. Differential dissipativity theory for dominance analysis, IEEE Transactions on Automatic Control, vol. 64, no. 6, pp. 2340-2351, June 2019. arXiv:1710.01721. (Recipient of the 2020 George S. Axelby Outstanding Paper Award).
R. Sepulchre, G. Drion, A. Franci. Control across scales, by positive and negative feedback. Annual Reviews in Control, Robotics, and Autonomous Systems, 2019.
C. Mostajeran, R. Sepulchre. Monotonicity on homogeneous spaces. Mathematics of Control, Signals, and Systems, 30: 22, 2018.
G. Drion, A. Franci, R. Sepulchre. Cellular switches orchestrate rhythmic circuits, Biological Cybernetics, 2018. arxiv:1802.06700.
G. Baggio, A. Ferrante, R. Sepulchre. Conal distance between rational spectral densities, IEEE Transactions on Automatic Control, 2018. arXiv:1708.02818.
C. Mostajeran, R. Sepulchre. Positivity, monotonicity, and consensus on Lie Groups. SIAM Journal of Control and Optimization, 56(3), 2436–2461. 2018. arxiv: 1804.06068
C. Mostajeran, R. Sepulchre. Ordering positive definite matrices, Information Geometry, 2018. arXiv:1712.0257
F. Miranda, F. Forni, R. Sepulchre. Analysis of Lur'e dominant systems in the frequency domain, Automatica, 2018. arXiv:1710.01645.
G. Drion, J. Dethier, A. Franci, R. Sepulchre. Switchable cellular conductances determine robustness and tunability of network states. PLoS Computational Biology, 2018.
A. Franci, G. Drion, R. Sepulchre. Robust and tunable bursting requires slow positive feedback, Journal of Neurophysiology, 2018, arXiv:1707.00664.
T. Van Pottelberghe, G. Drion, R. Sepulchre. Robust modulation of integrate-and-fire models, Neural Computation, Vol. 30, No 4, pp. 987-1011, 2018. Preprint: arXiv:1709.06824.
I. Cirillo, G. Habib, G. Kerschen, R. Sepulchre. Analysis and design of nonlinear resonances via singularity theory, Journal of Sound and Vibration, Vol. 392, pp. 295-306, 2017. Preprint: arXiv:1606.04077.
A. Franci, R. Sepulchre. A three scale model of spatio-temporal bursting, SIAM Journal of Applied Dynamical Systems, Vol. 15, No. 4, pp. 2143-2175, 2016. Preprint: arXiv:1510.08938.
I. Cirillo, A. Mauroy, L. Renson, G. Kerschen, R. Sepulchre. A spectral characterization of nonlinear normal modes, Journal of Sound and Vibrations, 2016. doi:10.1016/j.jsv.2016.05.016. (preprint: arxiv:1507.03753).
B. Mishra, R. Sepulchre. Riemannian preconditioning, SIAM Journal of Optimization, 26(1), pp. 635-660, 2016. (Preprint: arXiv:1405.6055).
M. Zorzi, R. Sepulchre. AR Identification of latent graphical models, IEEE Transactions on Automatic Control, 2016, DOI: 10.1109/TAC.2015.2491678 (preprint:arXiv:1405.0027).
F. Forni, R. Sepulchre. Differentially positive systems, IEEE Transactions on Automatic Control, 61 (2), pp. 346-359, 2016. (preprint: arXiv:1405.6298).
J. Dethier, G. Drion, A. Franci, R. Sepulchre. A positive feedback at the cellular level promotes robustness and modulation at the circuit level, Journal of Neurophysiology, 114(4), pp. 2472-2484, 2015. (preprint: arXiv:1409.6338).
R. Liégeois, E. Ziegler, P. Geurts, F. Gomez, M. Ali Bahri, Ch. Phillips, A. Soddu, A. Vanhaudenhuyse, S. Laureys, R. Sepulchre. Cerebral functional connectivity periodically (de)synchronizes with anatomical constraints, Brain Structure and Function, July 2015. (preprint: arXiv:1409.5672).
G. Drion, A. Franci, J. Dethier, R. Sepulchre. Dynamic input conductances shape neuronal spiking. eNeuro, DOI: 10.1523/ENEURO.0031-14. 2015.
N. Boumal, B. Mishra, P.-A. Absil, R. Sepulchre. Manopt, a Matlab toolbox for optimization on manifolds Journal of Machine Learning Research 15(Apr):1455−1459, 2014. (preprint arXiv:1308.5200).
A. Franci, G. Drion, R. Sepulchre. Modeling the modulation of neuronal bursting: a singularity theory approach. SIAM J. Appl. Dyn. Syst. 13-2 (2014), pp. 798-829 (preprint arXiv:1305.7364).
A. Sarlette, R. Sepulchre. Control limitations from distributed sensing: theory and Extremely Large Telescope application, Automatica, 50 (2), pp. 421-430, 2014 (preprint arXiv:1304.6531).
A. Collard, S. Bonnabel, C. Phillips, R. Sepulchre. An anisotropy preserving metric for DTI processing, International Journal of Computer Vision 107(1), pp. 58-74, 2014. (preprint arXiv:1210.2826)
F. Forni, R. Sepulchre. A differential Lyapunov framework for contraction analysis, IEEE Transactions on Automatic Control, 59(3), pp. 614-628, 2014 (preprint arXiv:1208.2943)
P. Sacré, R. Sepulchre. System analysis of oscillator models in the space of phase response curves, IEEE Control Systems Magazine, 34 (2), pp. 50-74, 2014 (preprint arXiv:1206.4144).
B. Mishra, G. Meyer, S. Bonnabel, R. Sepulchre. Fixed-rank matrix factorizations and Riemannian low-rank optimization, Computational Statistics, 1-31, 2013, DOI 10.1007/s00180-013-0464-z. (preprint arXiv:1209.0430).
B. Mishra, G. Meyer, F. Bach, R. Sepulchre. Low-rank optimization with trace norm penalty, SIAM Journal on Optimization, Vol. 23, No. 4 : pp. 2124-2149, 2013 (preprint arXiv:1112.2318).
S. Bonnabel, A. Collard, R. Sepulchre. Rank-preserving geometric means of positive semi-definite matrices , Linear Algebra and its Applications, Vol 438, Issue 8, pp 3202-3216, 2013 (preprint arXiv:1007.5494v3).
G. Drion, A. Franci, V. Seutin, R. Sepulchre. A Balance Equation Determines a Switch in Neuronal Excitability, PLoS Computational Biology 9(5) : e1003040, 2013.
A. Mauroy, R. Sepulchre. Global Analysis of a Continuum Model for Monotone Pulse-Coupled Oscillators. IEEE Transactions on Automatic Control (full paper), vol. 58 (5), pp. 1154-1166, 2013 (preprint arXiv:1102.4511v4 ).
R. Sepulchre, Th. Devos, F. Jadot, F. Malrait. Antiwindup Design for Induction Motor Control in the Field Weakening Domain, IEEE Transactions on Control Systems Technology, 21(1), pp. 52-66, 2013.
A. Mauroy, R. Sepulchre. Contraction of monotone phase-coupled oscillators, Systems & Control Letters 61, pp. 1097-1102, 2012 (preprint arXiv:1205.3826v2 ).
A. Franci, G. Drion, R. Sepulchre. An organizing center in a planar model of neuronal excitability. SIAM Journal on Applied Dynamical Systems, 11(4), pp. 1698-1722, 2012 (preprint arXiv:1204.5686v1 ).
L. Trotta, E. Bullinger, R. Sepulchre. Global Analysis of Dynamical Decision-Making Models through Local Computation around the Hid- den Saddle. PLoS ONE 7(3) : e33110. 2012.
G. Drion, A. Franci, V. Seutin, R. Sepulchre. A Novel Phase Portrait for Neuronal Excitability, PLoS ONE 7(8) : e41806. 2012.
A. Hamadeh, G.-B Stan, R. Sepulchre, J. Golcaves. Global State Synchronization in Networks of Cyclic Feedback Systems, IEEE Transactions on Automatic Control, vol. 57 :2, pp. 478-483, 2012.
R. Sepulchre, Consensus on nonlinear spaces, Annual Reviews in Control, vol. 35, pp. 56-64, 2011 (preprint).
G. Drion, L. Massotte, V. Seutin, R. Sepulchre. How modeling can reconcile apparently discrepant experimental results : the case of pacemaking in dopaminergic neurons PLoS Computational Biology, 7(5), 1002050, 2011.
P. Wieland, R. Sepulchre, F. Allgöwer. An internal model principle is necessary and sufficient for linear output synchronization Automatica 47(5) : 1068-1074, 2011.
F. Crevecoeur, R. Sepulchre, J.-L. Thonnard, Ph. Lefèvre. Improving the state estimation for optimal control of stochastic processes subject to multiplicative noise, Automatica, vol. 47, no3, pp. 591-596, 2011.
G. Meyer, S. Bonnabel, R. Sepulchre. Regression on fixed-rank positive semidefinite matrices: a Riemannian approach, Journal of Machine Learning Research, 12(Feb) :593-625, 2011.
M. Journée, F. Bach, P.-A. Absil, R. Sepulchre. Low-rank optimization on the cone of positive semidefinite matrices, SIAM Journal on Optimization, 20(5), pp. 2327-2351, May 2010.
M. Journée, P. Richtarik, Y. Nesterov, R. Sepulchre. Generalized power method for sparse principal component analysis, Journal of Machine Learning Research, Volume 11, pp. 517-553, 2010.
A. Sarlette, S. Bonnabel, R. Sepulchre. Coordinated motion design on Lie groups, IEEE Transactions on Automatic Control, vol. 55 nr. 5, pp. 1047-1058, 2010.
G. Drion, M. Bonjean, O. Waroux, J. Scuvee-Moreau, J.-F. Liegeois, T. Sejnowski, R. Sepulchre, V. Seutin. M-type channels selectively control bursting in rat dopaminergic neurons European Journal of Neuroscience, volume 31, pp. 827-835, 2010.
L. Scardovi, R. Sepulchre. Synchronization in networks of identical linear systems, Automatica, Volume 45, Issue 11, pp. 2557-2562, 2009.
S. Bonnabel, R. Sepulchre. Riemannian metric and geometric mean for positive semidefinite matrices of fixed rank, SIAM Journal of Matrix Analysis and Applications, Volume 31, Number 3, pp. 1055-1070, 2009.
F. Jadot, F. Malrait, J. Moreno, R. Sepulchre. Adaptive Regulation of Vector Controlled Induction Motors, IEEE Control Systems Technology, Volume 17, Number 3, 2009.
Ch. Germay, N. Van de Wouw, H. Nijmeijer, R. Sepulchre. Nonlinear Drillstring Dynamics Analysis, SIAM Journal on Applied Dynamical Systems, Volume 8, Number 2, page 527–553 - 2009.
A. Sarlette, R. Sepulchre, N. Leonard. Autonomous rigid body attitude synchronization, Automatica, Volume 45, Number 2, page 572–577 - 2009.
A. Sarlette, R. Sepulchre. Consensus optimization on manifolds, SIAM J. Control Optim. Volume 48, Issue 1, pp. 56-76, 2009. (Preprint arXiv:0811.4275).
L. Scardovi, N.E.Leonard, R. Sepulchre. Stabilization of Three-Dimensional Collective Motion, Communications in Information and Systems, Brockett Legacy issue, vol. 8, no. 4, pp. 473-500, 2008.
R. Ronsse, Ph. Lefèvre, R. Sepulchre. Robotics and neuroscience: a rhythmic interaction. Neural Networks, Volume 21, Issue 4, 577–583, May 2008.
P.-A. Absil, R. Mahony, R. Sepulchre. Continuous-time subspace flows related to the symmetric eigenvalue problem Pacific Journal of Optimization (PJO), Volume 4, Number 2, 179–194, May 2008.
A. Mauroy, R. Sepulchre. Clustering behaviors in networks of integrate- and-fire oscillators, Special Issue on Synchronization in Complex networks, Chaos, Volume 18, Issue 3, pp. 037122-037122-8 (2008).
R. Ronsse, J.-L. Tonnard, Ph. Lefèvre, R. Sepulchre. Control of bimanual rhythmic movements: trading efficiency for robustness depending on the context, Experimental Brain Research, Volume 187, Number 2, May 2008 , pp. 193-205(13)
R. Sepulchre, D. Paley, and N. Leonard. Stabilization of planar collective motion with limited communication, IEEE Transactions on Automatic Control, Vol. 53, No 3, pp. 706-719, 2008.
D. Paley, N. Leonard, R. Sepulchre, D. Grunbaum, J. K. Parrish. Oscillator models and collective motion: Spatial patterns in the dynamics of engineered and biological networks, IEEE Control Systems Magazine, Volume 27, Number 4, page 89–105 - 2007
R. Sepulchre, D. Paley, and N. Leonard. Stabilization of planar collective motion with all-to-all communication, IEEE Transactions on Automatic Control, Volume 52, Number 5, page 811–824 - May 2007.
N. Leonard, D. Paley, F. Lekien, R. Sepulchre, D. Fratantoni, R. Davis. Collective motion, sensor networks, and ocean sampling, Proceedings of the IEEE, special issue on the emerging technology of networked control systems, Number 95, pp. 48–74 - 2007
A. Teschendorff, M. Journée, P.-A. Absil, R. Sepulchre, C. Caldas. Elucidating the Altered Transcriptional Programs in Breast Cancer using Independent Component Analysis, PLoS Computational Biology, Vo- lume 3, Number 8, pp. 1539–1554 - August 2007.
G.-B. Stan and R. Sepulchre. Dissipativity and global analysis of oscillators, IEEE Transactions on Automatic Control, Volume 52, Number 2, page 256–270 - 2007.
R. Ronsse, Ph. Lefèvre, and R. Sepulchre. Rhythmic Feedback Control of a Blind Planar Juggler , IEEE Transactions on Robotics, Volume 23, Issue 4, pp. 790 - 802 Aug. 2007.
L. Scardovi, A. Sarlette, R. Sepulchre. Synchronization and balancing on the N-torus, Systems and Control Letters, Volume 56, Number 5, page 335–341 - 2007.
D.E. Chang and R. Sepulchre. Time-optimal control of a 3-level quantum system and its generalization, Dynamics of Continuous, Discrete and Impulsive Systems ? Series B, 14 (4), 575 ? 592, 2007.
R. Ronsse, Ph. Lefèvre, and R. Sepulchre. Sensorless stabilization of bounce juggling, IEEE Transactions on Robotics, Volume 22, Number 1, page 147-59 - feb 2006.
R. Sepulchre and G.-B. Stan. Feedback mechanisms for global oscillations in Lure systems, Systems and Control Letters, vol. 54/8, pp. 809–818, 2005.
P.-A. Absil, R. Sepulchre, P. Van Dooren, R. Mahony. Cubically convergent iterations for invariant subspace computation, SIAM J. Matrix Anal. Appl., vol. 26, No. 1, pp. 70-96, 2004.
P.A. Absil, R. Sepulchre. Continuous dynamical systems that realize discrete optimization on the hypercube, Systems and Control Letters, Vol. 52 , p.p 297-304, 2004.
P.-A. Absil, R. Mahony, R. Sepulchre. Riemannian geometry of Grass- mann manifolds with a view on algorithmic computation, Acta Appl. Math., Volume 80, Issue 2, pp. 199-220, 2004.
R. Sepulchre, M. Arcak, A. Teel. Trading the stability of finite zeros for global stabilization of nonlinear cascade systems, IEEE Transactions on Automatic Control, vol.47, no.3, pp. 521-525, 2002.
L. Moreau, D. Aeyels, J. Peuteman, R. Sepulchre. A duality principle for homogeneous vector fields with applications Systems Control Lett., Volume 47, Number 1, pp. 37-46, 2002.
F. Grognard, R. Sepulchre, G. Bastin. Improved performance of low- gain designs for bounded control of linear systems, Automatica, vol. 38, no.11, pp. 1777-1782, 2002.
P.A. Absil, R. Mahony, R. Sepulchre, P. Van Dooren. A Grassmann- Rayleigh quotient iteration for computing invariant subspaces, SIAM Review, Vol. 44, No. 1, pp. 57-73, 2002.
W. Michiels, R. Sepulchre, D. Roose. Stability of perturbed functional differential equations and stabilization of nonlinear cascades, SIAM Journal of Control and Optimization, Vol 40(3), pp 661-680, 2001.
F. Grognard, F. Jadot, L. Magni, G. Bastin, R. Sepulchre, V. Wertz. Robust global state feedback stabilization of cement mills, IEEE Transactions on Automatic Control, Vol. 46 (4), pp. 618-623, April 2001.
J. Peuteman, D. Aeyels, R. Sepulchre. Boundedness properties for time-varying nonlinear systems, SIAM Journal of Control and Optimization, Vol. 39 (5), pp. 1408-1422, 2000.
W. Aernouts, R. Sepulchre, D. Roose. Delayed control of axial compressors, International Journal of Bifurcations and Chaos, Vol. 10, No 5, pp. 1157-1164, 2000.
R. Sepulchre. Slow peaking and Low-Gain Designs for global stabilization of nonlinear systems, IEEE Transactions on Automatic Control, Vol. 45, No 3, pp. 453-461, 2000.
F. Grognard, R. Sepulchre, G. Bastin. Global stabilization of feedforward systems with exponentially unstable Jacobian linearization, Systems and Control Letters, vol. 37, no. 2, pp. 107-115, 1999.
P.A. Absil, R. Sepulchre, A. Bilge, P. Gerard. Nonlinear analysis of cardiac rhythm fluctuations using DFA method., Physica A 272, pp. 235-244, 1999.
M. Jankovic, R. Sepulchre, P.V. Kokotovic. CLF Based designs with robustness to dynamic input uncertainties, Systems and Control Letters, 37, pp. 45-54, 1999.
F. Mazenc, R. Sepulchre, M. Jankovic, Lyapunov functions for stable cascades and applications to stabilization, IEEE Transactions on Automatic Control, vol. 44, no 9, pp. 1795-1800, 1999.
D. Aeyels, R. Sepulchre, J. Peuteman. Asymptotic stability conditions for time-variant systems and observability: uniform and non-uniform criteria, Mathematics of Control, Signals, and Systems, no. 11, pp. 1-27, 1998.
R. Sepulchre and P.V. Kokotovic. Shape signifiers for throttle control of a low-order compressor model, IEEE Transactions on Automatic Control, vol. 43, no 11, pp. 1643-1648, 1998.
L. Magni, R. Sepulchre. Stability margins of nonlinear receding horizon control via inverse optimality, Systems and Control Letters, vol. 32, No 4, pp. 241-245, 1997.
M. Jankovic, R. Sepulchre, and P.V. Kokotovic. Global adaptive stabilization of cascade nonlinear systems, Automatica, vol. 33, no 2, pp. 263-368, 1997.
R. Sepulchre, M. Jankovic, and P. V. Kokotovic. Integrator forwarding: a new recursive nonlinear robust design, Automatica, vol. 33, no 5, pp. 979-984, 1997.
M. Jankovic, R. Sepulchre, and P. V. Kokotovic. Constructive Lyapunov stabilization of nonlinear cascade systems, IEEE Transactions on Automatic Control, vol. 41, no 12, pp. 1723-1735, 1996.
R. Sepulchre and D. Aeyels. Homogeneous Liapunov functions and necessary conditions for stabilization, Journal of Mathematics for Control, Signal and Systems, vol. 9, no 1, pp. 34-58, 1996.
R. Sepulchre and D. Aeyels. Stabilizability does not imply homogeneous stabilizability for controllable systems. SIAM Journal of Control and Optimization , vol. 34, no 5, pp. 1798-1813, 1996.
D. Aeyels and R. Sepulchre. On the convergence of time-variant linear differential equations arising in identification. Kybernetica, vol. 30, no 6, pp. 715-723, 1994.
D. Aeyels and R. Sepulchre. Stability for dynamical systems with first integrals: a topological criterion. Syst. & Contr. Letters, vol. 19, pp. 461-465, 1992.
Conference papers
T. B. Burghi, Timothy O'Leary, and R. Sepulchre. Distributed online estimation of biophysical neural networks. 61st IEEE Conference on Decision and Control, Cancun, Mexico, 2022.
J. G. Lee, T. B. Burghi, and R. Sepulchre. Induced contraction. 61st IEEE Conference on Decision and Control, Cancun, Mexico, 2022.
R. Sepulchre, Th. Chaffey, F. Forni. On the incremental form of dissipativity, 25th Symposium on Mathematical Theory of Network and Systems, Bayreuth, 2022.
Th. Chaffey, F. Forni, R. Sepulchre. Scaled relative graphs for system analysis, 60th IEEE Conference on Decision and Control, Texas, 2021.
Th. Chaffey, R. Sepulchre. Monotone RLC circuits, 19th European Control Conference, Groningen, 2021. (Recipient of the Best Student Paper Award).
R. Sepulchre, T. O’Leary, G. Drion, and A. Franci, Control by neuromodulation: a tutorial. 18th European Control Conference, 2019, Naples.
Ch. Grussler, R. Sepulchre. Strongly unimodal systems, 18th European Control Conference, 2019, Naples.
T. Burghi, M. Schoukens, R. Sepulchre, Feedback for nonlinear systems identification, 18th European Control Conference, 2019, Naples.
A. Padoan, F. Forni, and R. Sepulchre, “The H∞,p norm as the differential gain of a p-dominant system,” Conf. Decision Control, 2019, to appear. [PDF]
A. Padoan, F. Forni, and R. Sepulchre, “Dominance margins for feedback systems,” 11th IFAC Symp. Nonlinear Control Syst., 2019, to appear. [arXiv]
F. Miranda, F. Forni, R. Sepulchre. Differential passive circuits that switch and oscillate. IFAC-PapersOnLine, Volume 51, Issue 13, Pages 19-24, 2018.
F. Miranda, F. Forni, R. Sepulchre. Dominance analysis of linear complementarity systems, Proceedings 23rd International Symposium on Mathematical Theory of Networks and Systems (Hong-Kong) - July 2018. arXiv:1802.00284.
F. Forni, R. Sepulchre. A dissipativity theorem for p-dominant systems, 56th IEEE Conference on Decision and Control, Melbourne, Australia, December 2017. Arxiv preprint.
F. Forni, R. Jungers, R. Sepulchre. Path-Complete Positivity of Switching Systems, Proceedings 20th IFAC World Congress, Toulouse, France, 9-14 July 2017. Arxiv preprint.
G. Baggio, R. Sepulchre. LTI Stochastic Processes: a Behavioral Perspective. Proceedings 20th IFAC World Congress, Toulouse, France, 9-14 July 2017. Arxiv preprint.
C. Mostajeran. R. Sepulchre. Differential Positivity with Respect to Cones of Rank K, Proceedings 20th IFAC World Congress, Toulouse, France, 9-14 July 2017.
B. Mishra, R. Sepulchre. Scaled Stochastic Gradient Descent for Low-Rank Matrix Completion, 55th IEEE Conference on Decision and Control, Las Vegas, USA, December 2016. Preprint arxiv
C. Mostajeran. R. Sepulchre. Invariant Differential Positivity and Consensus on Lie Groups. Proceedings 10th IFAC Symposium on Nonlinear Control Systems, Monterey, California, USA. August 23-25. IFAC-PapersOnLine, 49. pp. 630-635, 2016.
G. Drion, T. O'Leary, J. Dethier, A. Franci, R. Sepulchre. Neuronal behaviors: a control perspective. 54th IEEE Conference on Decision and Control, Osaka, Japan, pp. 1923 - 1944, December 2015. Tutorial paper.
A. Mauroy, F. Forni, R. Sepulchre. An operator-theoretic approach to differential positivity, 54th IEEE Conference on Decision and Control, Osaka, Japan, pp. 7028-2033. December 2015. (preprint arxiv 1504.01548)
F. Carli, R.Sepulchre. On the Convergence of Kalman Filter via Contraction in Projective Spaces, 54th IEEE Conference on Decision and Control, Osaka, Japan, pp. 2420-2425, December 2015.
R. Liégeois, B. Mishra, M. Zorzi, R. Sepulchre. Sparse plus low-rank autoregressive identification in neuroimaging time series, 54th IEEE Conference on Decision and Control, Osaka, Japan, pp. 3965-3970, December 2015. Preprint : arxiv 1503.08639
M. Zorzi, R. Sepulchre. Factor Analysis of Moving Average Processes, Proceedings ot the 14th European Control Conference, Linz, Austria, pp. 3579 - 3584, July 2015.
F. Forni, R. Sepulchre. Differential analysis of nonlinear systems: revisiting the pendulum example, (tutorial session), 53rd IEEE Conference on Decision and Control, Los Angeles, California, December 2014. Preprint: arXiv:1409.4712
B. Mishra, R. Sepulchre. R3MC: A Riemannian three-factor algorithm for low-rank matrix completion, 53rd IEEE Conference on Decision and Control, Los Angeles, California, December 2014. Preprint arXiv:1306.2672
A. Franci, R. Sepulchre. Realization of nonlinear behaviors from organizing centers, 53rd IEEE Conference on Decision and Control, Los Angeles, California, December 2014. Preprint arXiv:1409.5560
F. Forni, R. Sepulchre, A. van der Schaft. On differential passivity of physical systems, Proceedings of the 52nd IEEE Conference on Decision and Control and European Control Conference, Florence, Italy, pp. December 2013.
A. Collard, Ch. Phillips, R. Sepulchre. Statistical tests for group comparison of manifold-valued data, Proceedings of the 52nd IEEE Conference on Decision and Control and European Control Conference, Florence, Italy, pp. December 2013.
T. N. Dinh, S. Bonnabel, R. Sepulchre. Contraction-based design of positive observers, Proceedings of the 52nd IEEE Conference on Decision and Control and European Control Conference, Florence, Italy, pp. December 2013.
F. Forni, R. Sepulchre. On differentially dissipative dynamical systems, Proceedings of the 9th IFAC Symposium on Nonlinear Control Systems, (NOLCOS 2013) Toulouse, France, September 2013.
Th. Devos, F. Malrait, R. Sepulchre. Energy saving for induction motor control by extremum seeking, Proceedings of the 20th International Conference on Electrical Machines, Marseille, France, pp. 932-936, September 2012.
F. Forni, L. Zaccarian, R. Sepulchre. Antiwindup Regulation of Saturated Linear Systems, Proceedings of the 51th IEEE Conference on Decision and Control and European Control Conference, Maui, Hawaii, pp. December 2012.
A. Mauroy, P. Sacré, R. Sepulchre. Kick Synchronization versus Diffusive Synchronization, Proceedings of the 51st IEEE Conference on Decision and Control and European Control Conference, Maui, Hawaii, pp. December 2012. Preprint: arXiv:1209.4970
B. Mishra, G. Meyer, R. Sepulchre. Low-rank optimization for distance matrix completion, Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, Florida, pp. December 2011.
A. Mauroy, R. Sepulchre. Local stability results for the collective behaviors of infinite populations of pulse-coupled oscillators, Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, Florida, pp. December 2011.
P. Sacré, R. Sepulchre. Matching an oscillator model to a phase response, Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, Florida, pp. December 2011.
S. Bonnabel, A. Astolfi, R. Sepulchre. Contraction and Observer Design on Cones, Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, Florida, pp. December 2011.
G. Meyer, S. Bonnabel, R. Sepulchre. Linear regression under fixed- rank constraints: a Riemannian approach Proceedings of the 28th International Conference on Machine Learning, Bellevue, Washington, July 2011.
R. Sepulchre. Consensus on nonlinear spaces. Proceedings of the 8th IFAC Symposium on Nonlinear Control Systems, Bologna, September 2010.
R. Sepulchre, P.-A. Absil, S. Bonnabel. Géométrie des matrices positives semi-définies de rang fixé: un peu de théorie et beaucoup d’applications. Sixième Conférence Internationale Francophone d'Automatique (CIFA 2010), Nancy, France, 2-4 juin 2010
L. Trotta, E. Bullinger R. Sepulchre. Delayed Decision-Making in Bistable Models, Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, pp. 816-821, December 2010.
R. Sepulchre, A. Sarlette, P. Rouchon. Consensus in Non-Commutative Spaces, Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, pp. 6596-6601, December 2010. Preprint arXiv:1003.5653.
P.Wieland, R. Sepulchre, F. Allgöwer. Phase Synchronization through Entrainment by a Consensus Input, Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, pp. - December 2010.
M. Hafner, P. Sacré, L. Symul, R. Sepulchre, H. Koeppl Multiple feed- back loops in circadian cycles: robustness and entrainment as selection criteria, Proceedings of the Seventh International Workshop on Computational Systems Biology, WCSB 2010, Luxembourg - June 2010.
A. Mauroy, J. Hendrickx, A. Megretski, R. Sepulchre. Global Analysis of Firing Maps, Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (Budapest, Hungary) - July 2010.
S. Bonnabel, G. Meyer, R. Sepulchre. Adaptive filtering for estimation of a low-rank positive semi-definite matrix, Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (Budapest, Hungary) - July 2010.
S. Bonnabel, R. Sepulchre. Rank-preserving geometric means of positive semi-definite matrices, Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (Budapest, Hungary) - July 2010.
Ch. Lageman, A. Sarlette, R. Sepulchre. Synchronization with partial state feedback on SO(n), Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, China, pp. 1696-1701- December 2009.
D. Efimov, P. Sacr ́e, R. Sepulchre. Controlling the phase of an oscillator: a phase response curve approach, Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, China, pp. 7692-7697- December 2009.
A. Sarlette, R. Sepulchre. Consensus on manifolds, Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, China, pp. 5139-5145- December 2009.
A. Sarlette, R. Sepulchre. A PDE viewpoint on basic properties of coordination algorithms with symmetries , Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, China, pp. 6438-6443- December 2009.
G. Meyer, M. Journée, S. Bonnabel, R. Sepulche. From subspace learning to distance learning: a geometrical optimization approach, Proceedings of the IEEE workshop on statistical signal processing (SSP09), Cardiff, UK - September 2009.
A. Sarlette, S. Bonnabel, R. Sepulchre. Coordination on Lie groups, Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Mexico - December 2008.
L. Scardovi, R. Sepulchre, Synchronization in Networks of Identical Linear Systems, Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Mexico - December 2008.
A. Sarlette, S. E.Tuna, V. Blondel, R. Sepulchre. Global Synchronization on the Circle, 17th World IFAC Congress, Seoul, Korea - August 2008.
R. G. Sanfelice, A. R. Teel, R. Sepulchre. A Hybrid Systems Approach to Trajectory Tracking Control for Juggling Systems, Proceedings of the 46th IEEE Conference on Decision and Control, New- Orleans, pp. 5282–5287 - December 2007.
D. Swain, N. Leonard, I. Couzin, A. Kao, R. Sepulchre. Alternating Spatial Patterns for Coordinated Group Motion, Proceedings of the 46th IEEE Conference on Decision and Control, New- Orleans, pp. 2925–2931 - December 2007.
L. Scardovi, N. Leonard, R. Sepulchre. Stabilization of Collective Motion in Three Dimensions: A Consensus Approach, Proceedings of the 46th IEEE Conference on Decision and Control, New- Orleans, pp. 2931-2936 - December 2007.
D.-E. Chang, R. Sepulchre. Time-Optimal Control of a 3-Level Quantum System and Its Generalization to an N-Level System, Proceedings of the 26th American Control Conference (ACC 2007), Times Square, New York City, USA, July 11-13, 2007
G.-B. Stan, A. Hamadeh, R. Sepulchre, J. M. Goncalves. Output Synchronization in Networks of Cyclic Biochemical Oscillators, Procee- dings of the 26th American Control Conference (ACC 2007), Times Square, New York City, USA, July 11-13, 2007.
M. Bonjean, Ch. Phillips, T. Dang-Vu, R. Sepulchre, P. Maquet. An in computo investigation of the Landau-Kleffner syndrome, Conf. Proceedings of the IEEE Eng. Med. Biol. Society, Volume 29, Number 1, pp. 2730–2734 - August 2007
A. Sarlette, R. Sepulchre, N. Leonard. Autonomous Rigid Body Attitude Synchronization, Proceedings of the 46th IEEE Conference on Decision and Control, New- Orleans, pp. 2566–2571 - December 2007.
E. Tuna, R. Sepulchre. Consensus under General Convexity, Proceedings of the 46th IEEE Conference on Decision and Control, New- Orleans, pp. 294–299 - December 2007.
D. Paley, N. Leonard, R. Sepulchre, I. Couzin. Spatial Models of Bistability in Biological Collectives, Proceedings of the 46th IEEE Conference on Decision and Control, New- Orleans, pp. 4851–4856 - December 2007.
S. E. Tuna, R. Sepulchre. Quantitative convergence analysis of multiagent systems, 7th IFAC Symposium on Nonlinear Control Systems, pp. 236–241 - August 2007.
A. Sarlette, R. Sepulchre, N. Leonard. Cooperative Attitude Synchronization in Satellite Swarms: A Consensus Approach 17th IFAC Symposium on Automatic Control in Aerospace, Toulouse, France - June 2007.
M. Journée, A. Teschendorff, P.-A. Absil, R. Sepulchre. Geometric optimization methods for independent component analysis applied on gene expression data, Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2007), pp. 1413–1416 - April 2007.
M. Journée, P.-A. Absil, R. Sepulchre. Gradient-optimization on the orthogonal group for independent component analysis, Independent Component Analysis and Signal Separation, Volume 4666, pp. 57–64 - September 2007.
L. Scardovi, R. Sepulchre, N. Leonard. Stabilization Laws for Collective Motions in Three Dimensions European Control Conference - 2007.
A. Sarlette, R. Sepulchre, N. Leonard. Discrete-time synchronization on the N-torus Proceedings 17th International Symposium on Mathematical Theory of Networks and Systems (Kyoto, Japan) - 2006.
R. Ronsse, R. Sepulchre. Feedback Control of Impact Dynamics: the Bouncing Ball Revisited Proc. 45th IEEE Conference on Decision and Control - 2006.
L. Scardovi, R. Sepulchre. Collective Optimization Over Average Quantities Proceedings of the 45th IEEE Conference on Decision and Control, pp. 3369–3374 - 2006.
D. Paley, N. Leonard, R. Sepulchre, Oscillator models and collective motion: Splay state stabilization of self-propelled particles, in Joint IEEE 44th Conference on Decision and Control and European Control Conference 2005, Sevilla, Spain, 2005.
C. Germay, N. V. de Wouw, R. Sepulchre, and H. Nijmeijer. Axial stick-slip limit cycling in a drill-string model with delay, in Proceedings of the 5th Euromech nonlinear dynamics conference, Eindhoven, 2005.
D.-E. Chang, R. Ronsse, and R. Sepulchre. Is bounce juggling easier in a parabolic billiard than in a wedge, in Proceedings of the 5th Euromech nonlinear dynamics conference, Eindhoven, 2005.
M. Gerard and R. Sepulchre. Rhythmic stabilization of periodic orbits in a wedge, in Proceedings of the 16th IFAC world Congress, Praha, 2005.
R. Ronsse, Ph. Lefèvre, and R. Sepulchre, Timing feedback control of a rhythmic system, in Proceedings of the joint 44th IEEE Conference on Decision and Control and European Control Conference 2005, Seville, Spain, 2005.
R. Sepulchre, D. Paley, and N. Leonard. Graph laplacian and lyapunov design of collective planar motions, Proceedings of the 2005 International Symposium on Nonlinear Theory and its Applications, Bruges, Belgium, 2005.
D. Paley, N. Leonard, R. Sepulchre. Collective motion: bistability and trajectory tracking. Proceedings of the 43rd IEEE Conference on Decision and Control, The Bahamas, December 2004.
R. Ronsse, Ph. LefE ̈vre, R. Sepulchre. Open-loop stabilization of 2D impact juggling . Proceedings of the 6th IFAC Symposium on Nonlinear Control Systems, Stuttgart, Germany, pp.1157-1162, September 2004.
M. GE`rard, R. Sepulchre. Stabilization through weak and occasional interactions: a billiard benchmark . Proceedings of the 6th IFAC Symposium on Nonlinear Control Systems, Stuttgart, Germany, pp. 73-78, September 2004.
G-B. Stan, R. Sepulchre. Dissipativity and global analysis of limit cycles in networks of oscillators. Proceedings of the 16th Symposium on Mathematical Theory of Networks and Systems, Leuven, Belgium, July 2004 (no 292, 6 pages).
R. Sepulchre, D. Paley, N. Leonard. Collective motion and oscillator synchronization. Proceedings of the 16th Symposium on Mathematical Theory of Networks and Systems, Leuven, Belgium, July 2004 (no 308, 6 pages).
J. Jordan, P.-A. Absil, R. Sepulchre. Generalized shifted inverse iterations on Grassmann manifolds. Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems, Leuven, Belgium, July 2004 (6 pages).
R. Sepulchre, M. Gerard. Stabilization of periodic orbits in a wedge billiard. Proceedings of the 42nd IEEE Conference on Decision and Control, Hawai, USA, December 2003.
G-B. Stan, R. Sepulchre. Dissipativity characterization of a class of oscillators and networks of oscillators . Proceedings of the 42nd IEEE Conference on Decision and Control, Hawai, USA, December 2003.
P.-A. Absil, R. Sepulchre, P. Van Dooren and R. Mahony. A Newton algorithm for invariant subspace computation with large basins of attraction . Proceedings of the 42nd IEEE Conference on Decision and Control, Hawaii, USA, pp. 2352-2357, December 2003.
W.Michiels, R. Sepulchre, D. Roose, L. Moreau. A perturbation approach to the stabilization of nonlinear cascade systems with time- delay, Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, pp. 1898-1903, December 2002.
P-A. Absil, R. Sepulchre. The continuous-time Rayleigh quotient flow on the Grassmann manifold, Proceedings of the 15th Symposium on Mathematical Theory of Networks and Systems, August 2002, Notre Dame (USA) (6 pages).
R. Sepulchre, M. Arcak, A. Teel. Trading the stability of finite zeros for global stabilization of nonlinear cascades, Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, Florida, pp. 3025- 3030, December 2001.
F. Grognard, R. Sepulchre. Global analysis of a continuous-time flow which computes time-optimal switchings, Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, Florida, pp. 3826-3831, December 2001.
F . Grognard, R. Sepulchre, J. De Don, Dynamical systems that compute time-optimal switchings, Proceedings of the 5th IFAC Symposium on Nonlinear Control Systems, St Petersburg, Russia, pp. 1270-1275, July 2001.
P-A. Absil, R. Sepulchre. A hybrid control scheme for swing-up acrobatics, Proceedings of the 5th European Control Conference, Porto, Portugal, pp.2860-2864, September 2001.
R. Sepulchre, M. Gerard, B. Marchand, D. Prieels, B. Bauvir. Pencil Beam Scanning: a dynamical approach to proton therapy, Proceedings of the IEEE Symposium on Bioinformatics and Biomedical enginee- ring, Arlington, pp. 370-375 , November 2000.
P-A. Absil, R. Mahony, R. Sepulchre, P. Van Dooren. A Grassmann- Rayleigh Quotient Iteration for computing invariant subspaces, Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, December 2000.
F. Grognard, R. Sepulchre, G. Bastin. Control of linear systems with affine constraints: a gain-scheduling approach, Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, pp. 4785-4790, December 2000.
P-A. Absil, R. Sepulchre. Gradient systems for optimization on the hypercube, Proceedings of the 14th Symposium on Mathematical Theory of Networks and Systems, June 2000, Perpignan (6 pages).
F. Grognard, R. Sepulchre, G. Bastin. Improved performance for low- gain control of linear systems with input saturation, Proceedings of the 14th Symposium on Mathematical Theory of Networks and Systems, June 2000, Perpignan (6 pages).
D. Aeyels, L. Moreau, J. Peuteman, R. Sepulchre. Homogeneous systems: stability, boundedness and duality, Proceedings of the 14th Symposium on Mathematical Theory of Networks and Systems, June 2000, Perpignan (6 pages).
W. Michiels, R. Sepulchre, D. Roose. Robustness of nonlinear delay equations with respect to bounded input perturbations, Proceedings of the 14th Symposium on Mathematical Theory of Networks and Systems, June 2000, Perpignan (6 pages).
F. Grognard, R. Sepulchre, G. Bastin. Slow control for global stabilization of feedforward systems with unstable Jacobian linearization, Proceedings of the 37th IEEE Conference on Decision and Control, Tampa, Florida, pp. 1452-1457, 1998.
P.A. Absil, R. Sepulchre, A. Bilge, R. Poirrier. Sleep apnea syndrome diagnosis by analysis of the cardiac interbeat RR time series, Proc. International Workshop on Advanced Black-Box Techniques for Non- linear Modeling, Leuven, Belgium, pp. 133-137, July 1998.
F. Grognard, R. Sepulchre, L. Praly, G. Bastin. Nested linear low-gain designs for semiglobal stabilization of feedforward systems, Proceedings of the 4th IFAC Symposium on Nonlinear Control Systems, Enschede, The Netherlands, pp. 829-834, July 1998.
R. Sepulchre, M. Arcak. On the stabilization of nonlinear cascade systems with right-half plane zeros. Proceedings of the 4th IFAC Symposium on Nonlinear Control Systems, Enschede, The Netherlands, pp. 624-630, July 1998.
R. Sepulchre. Slow peaking and global stabilization of nonlinear systems. Proceedings of the 36th IEEE Conference on Decision and Control, pp. 3491-3496, 1997.
F. Mazenc, R. Sepulchre, M. Jankovic. Lyapunov functions for stable cascades and applications to global stabilization, Proceedings of the 36th IEEE Conference on Decision and Control, pp. 2843-2846, 1997.
C. Barbu, R. Sepulchre, P.V. Kokotovic, W. Lin. Global asymptotic stabilization of the ball-and-beam model. Proc. of the 36th IEEE Conference on Decision and Control, pp. 2351-2355, 1997.
M. Larsen, B. Coller, R. Sepulchre, P. Kokotovic. Dynamic control of Axial Compressors, Proceedings of the 1997 IEEE International Conference on Control Applications, Hartford, CT, USA, 5-7 Oct. 1997). New York, NY, USA : IEEE, pp. 663-70, 1997.
R. Sepulchre and P.V. Kokotovic. Interlaced systems and recursive designs for global stabilization. Proc. of the 4th European Control Conference, 1997, Brussels, WE-E-A (6 pages).
R. Sepulchre, M. Jankovic, and P.V. Kokotovic. Integrator forwarding: a new recursive nonlinear robust design. Proceedings of the 13th IFAC World Congress, San Francisco, California, pp. 85-90, 1996.
R. Sepulchre, D. Aeyels, and J.L. Willems. From the Nyquist criterion to the circle criterion. Proceedings of the 13th IFAC World Congress, San Francisco, California, pp. 1-6, 1996.
M. Jankovic, R. Sepulchre, and P.V. Kokotovic. Global adaptive stabilization of cascade nonlinear systems. Proceedings of the 13th IFAC World Congress, San Francisco, California, pp. 311-316, 1996.
M. Jankovic, R. Sepulchre, and P.V. Kokotovic. Global stabilization of an enlarged class of cascade nonlinear systems. Proceedings of the 34th IEEE Conference on Decision and Control, New-Orleans, December 95 (6 pages).
R. Sepulchre and P.V. Kokotovic. Shape signifiers for the control of surge and stall compressor instabilities. Presented at MTNS conference, St-Louis, June 1996.
R. Sepulchre and M. Jankovic. Stabilization of upper-triangular homogeneous systems. Presented at MTNS conference, St-Louis, 1996.
R. Sepulchre and D. Aeyels. Adding an integrator to a non stabilizable planar homogeneous system. Proceedings of the 3rd IFAC Symposium on Nonlinear Control Systems, Tahoe city, pp. 170-175, 1995.
D. Aeyels and R. Sepulchre. Stabilization of time-variant control systems. Proc. of the 3rd European Control Conference, Roma, pp. 1860- 1862, 1995. R. Sepulchre and D. Aeyels. Further obstructions to continuous feedback stabilization, Proceedings of the 33rd IEEE Conference on Deci- sion and Control, Orlando, pp. 3277-3282, 1994.
D. Aeyels, R. Sepulchre, I. Mareels. On the stabilization of planar homogeneous systems, invited paper, Proceedings of the 11th Symposium on Mathematical Theory of Networks and Systems, Regensburg, August 93, pp. 27-30.
R. Sepulchre, V. Wertz, G. Campion. Some remarks about periodic feedback stabilization. Proceedings of the 2nd IFAC Symposium on Nonlinear Control Systems, Bordeaux, France, pp. 418-423, 1992.
B. d'Andrea, Ph. Martin, R. Sepulchre. Full linearization of a class of mechanical systems via dynamic feedback. Proceedings of the 10th Symposium on Mathematical Theory of Networks and Systems, June 1991, Japan (6 pages).
Chapters in books
R. Sepulchre, G. Drion, A. Franci. Excitable Behaviors. In: Tempo R., Yurkovich S., Misra P. (eds) Emerging Applications of Control and Systems Theory. Lecture Notes in Control and Information Sciences - Proceedings. Springer, Cham, 2018. arXiv:1704.04989.
S. Bonnabel and R. Sepulchre. The Geometry of Low-Rank Kalman Filters. In Matrix Information Geometry, Nielsen, Frank; Bhatia, Rajendra (Eds.) ISBN : 978-3-642-30231-2 (Print) 978-3-642-30232-9 (Online) 466 pages; 104 illustrations; Springer; 2013 edition (August 4, 2012).
G. Drion, R. Sepulchre, and V. Seutin. Mitochondrial and Endoplasmic Reticulum induced SK Channel Disregulation as a Potential Origin of the Selective Neurodegeneration in Parkinson’s Disease. In ''The Systems Biology of Parkinson’s Disease, Genetics and Systems Biology'', Springer, pp. 57-59, 2012.
A. Sarlette, R. Sepulchre. Synchronization on the circle, In ''The Complexity of Dynamical Systems'', J. Dubbeldam, K. Green, D. Lenstra (eds.), pp. 213-240, Wiley, 2011. Preprint arXiv:0901.2408.
P.-A. Absil, R. Mahony, R. Sepulchre. Optimization on manifolds: methods and applications, Recent Advances in Optimization and its Applications in Engineering, Springer-Verlag, pp. 125-144, 2010.
C. Lageman, R. Sepulchre. Optimal data fitting on Lie Groups: a Coset approach, Recent Advances in Optimization and its Applications in Engineering, Springer-Verlag, pp. 173-182, 2010.
M. Journée, F. Bach, P.-A. Absil, R. Sepulchre. Refining Sparse Principal Components Recent Advances in Optimization and its Applications in Engineering, Springer-Verlag, pp. 165-171, 2010.
M. Journée, A. Teschendorff, P.-A. Absil, S. Tavaré, R. Sepulchre. Geometric Optimization Methods for the Analysis of Gene Expression Data, in ''Principal Manifolds for Data Visualization and Dimension Reduction'', Springer Berlin Heidelberg, Volume 58, pp. 271–292 - 2007.
R. Sepulchre. Oscillators as systems and synchrony as a design principle, in ''Current trends in nonlinear systems and control, L. Menini, L. Zaccarian, C. T. Abdallah (eds.)'' Springer-Verlag, 2005.
R. Sepulchre, D. Paley, N. Leonard. Collective motion and oscillator synchronization, in ''Cooperative control'', V. Kumar, N. Leonard, A. Morse (eds.) Lecture Notes in Control and Information Sciences, 309, Spinger-Verlag, London, pp. 189-205, 2004.
A. Astolfi, R. Ortega, R. Sepulchre. Stabilization and disturbance attenuation of nonlinear systems using dissipativity theory. Control of Complex Systems (eds. K. Aström, P. Albertos, M. Blanke, A. Isidori). Springer-Verlag, London, pp.39-75, 2000.
P. Van Dooren, R. Sepulchre. Shift policies in QR-like algorithms and feedback control of self-similar flows. Open Problems in Mathematical Systems and Control Theory (eds. V. D. Blondel, E. D. Sontag, M. Vidyasagar, J. C. Willems) in the series : Communications and Control Engineering, Springer Verlag, London, pp. 245-250, 1998.
R. Sepulchre, M. Jankovic, P.V. Kokotovic. Recursive designs and feedback passivation. in Systems and Control in the Twenty-First Century, C. Byrnes, B. Datta, D. Gilliam, C. Martin (eds.), Birkhauser, pp. 313- 326, 1996.