Publications
Preprints
C. M. Zagabe and A. Mauroy, Uniform global stability of switched nonlinear systems in the Koopman operator framework [arxiv]
F.-G. Bierwart and A. Mauroy, A numerical Koopman-based framework to estimate regions of attraction for general vector fields [PDF]
R. Yadav and A. Mauroy, Approximation of the Koopman operator via Bernstein polynomials [arxiv]
Y. Susuki, A. Mauroy and Z. Drmac, Koopman Resolvents of Nonlinear Discrete-Time Systems: Formulation and Identification, accepted at ECC 2024
Journal papers
Z. Zeng, Z. Yue, A Mauroy, J. Goncalves, and Y. Yuan, A sampling theorem for exact identification of continuous-time nonlinear dynamical systems, accepted in IEEE Transactions on Automatic Control, 2024 [arxiv]
A. Mauroy, Koopman operator framework for spectral analysis and identification of infinite-dimensional systems, Mathematics, vol. 9, no. 19, p. 2495, 2021 [article]
Y. Susuki, A. Mauroy, and I. Mezic, Expansion formulae of the resolvent of Koopman operator for Laplace-domain representation of nonlinear dynamics, SIAM Journal on Applied Dynamical Systems, vol. 20, no. 4, p. 2013-2036, 2021 [arXiv]
M. Gulina and A. Mauroy, Two methods to approximate the Koopman operator with a reservoir computer, Chaos, vol. 31, p. 023116, 2021 [PDF]
A. Mauroy and J. Goncalves, Koopman-based lifting techniques for nonlinear systems identification, IEEE Transactions on Automatic Control, vol. 65, no. 6, pp. 2550-2565, 2020 [PDF]
A. Mauroy and I. Mezic, Global computation of phase-amplitude reduction for limit-cycle dynamics, Chaos, vol. 28, no. 7, p. 073108, 2018 [PDF]
A. Sootla and A. Mauroy, Operator-theoretic characterization of eventually monotone systems, IEEE Control Systems Letters, vol. 2, no. 3, 2018 [arXiv]
A. Sootla, A. Mauroy, and D. Ernst, An optimal control formulation of pulse-based control using Koopman operator, Automatica, vol. 91, pp. 217-224, 2018 [PDF]
A. Sootla and A. Mauroy, Geometric properties of isostables and basins of attraction of monotone systems, IEEE Transactions on Automatic Control, vol. 62, no. 12, pp. 6183-6194, 2017 [PDF]
A. Mauroy and J. Hendrickx, Spectral identification of networks using sparse measurements, SIAM Journal on Applied Dynamical Systems, vol. 16, no. 1, pp. 479-513, 2017 [PDF]
A. Mauroy, P. Taslakian, S. Langerman, and R. Jungers, The four bars problem, Nonlinearity, vol. 29, no. 9, pp. 2657-2673, 2016 [PDF]
G. I. Cirillo, A. Mauroy, L. Renson, G. Kerschen, and R. Sepulchre, A spectral characterization of nonlinear normal modes, Journal of Sound and Vibration, vol. 377, pp. 284-301, 2016 [PDF]
A. Mauroy and I. Mezic, Global stability analysis using the eigenfunctions of the Koopman operator, IEEE Transactions on Automatic Control, vol. 61, no. 3, pp. 3356-3369, 2016 [PDF]
A. Mauroy and I. Mezic, Extreme phase sensitivity in systems with fractal isochrons, Physica D, vol. 308, pp. 40–51, 2015 [PDF]
A. Mauroy, B. Rhoads, J. Moehlis and I. Mezic, Global isochrons and phase sensitivity of bursting neurons, SIAM Journal on Applied Dynamical Systems, vol. 13, no. 1, pp. 306-338, 2014 [PDF]
A. Mauroy, I. Mezic, and J. Moehlis, Isostables, isochrons, and Koopman spectrum for the action-angle reduction of stable fixed point dynamics, Physica D, vol. 261, pp. 19-30, 2013 [PDF]
A. Mauroy and R. Sepulchre, Global analysis of a continuum model for monotone pulse-coupled oscillators, IEEE Transactions on Automatic Control, vol. 58, no. 5, pp. 1154-1166, 2013 [PDF]
A. Mauroy and R. Sepulchre, Contraction of monotone phase-coupled oscillators, Systems & Control Letters, vol. 61, no. 11, pp. 1097-1102, 2012 [PDF]
A. Mauroy and I. Mezic, On the use of Fourier averages to compute the global isochrons of (quasi)periodic dynamics, Chaos, vol. 22, no. 3, p. 033112, 2012 [PDF]
A. Mauroy and R. Sepulchre, Clustering behaviors in networks of integrate-and-fire oscillators, Chaos, vol. 18, no. 3, p. 037122, 2008 [PDF]
Book
A. Mauroy, Y. Susuki, and I. Mezic, editors, The Koopman Operator in Systems and Control: Theory, Numerics, and Applications, Lecture Notes in Control and Information Sciences, Springer, 2020 [link]
Book chapters
A. Mauroy, Y. Susuki, and I. Mezic, Introduction to the Koopman operator in dynamical systems and control theory, in A. Mauroy, Y. Susuki, and I. Mezic, editors, The Koopman Operator in Systems and Control: Theory, Numerics, and Applications, Lecture Notes in Control and Information Sciences, Springer, 2020
A. Mauroy, A. Sootla, and I. Mezic, Global stability analysis, in A. Mauroy, Y. Susuki, and I. Mezic, editors, The Koopman Operator in Systems and Control: Theory, Numerics, and Applications, Lecture Notes in Control and Information Sciences, Springer, 2020
A. Mauroy and J. Goncalves, Parameter estimation and identification of nonlinear systems, in A. Mauroy, Y. Susuki, and I. Mezic, editors, The Koopman Operator in Systems and Control: Theory, Numerics, and Applications, Lecture Notes in Control and Information Sciences, Springer, 2020
Peer-reviewed conference papers
A. Mauroy and A. Sootla, Estimation of regions of attraction with formal certificates in a purely data-driven setting, Proceedings of the 62nd Conference on Decision and Control, Singapore, pp. 4682-4687, December 2023 [PDF]
C. M. Zagabe and A. Mauroy, On systematic criteria for the global stability of nonlinear systems via the Koopman operator framework, Proceedings of the 62nd Conference on Decision and Control, Singapore, pp. 6653-6658, December 2023 [PDF]
Z. Zeng, Z. Yue, A. Mauroy, J. Goncalves, and Y. Yuan, A Sampling Theorem for Exact Identification of Continuous-time Nonlinear Dynamical Systems, Proceedings of the 61st Conference on Decision and Control, Cancún (Mexico), December 2022
M. Gulina and A. Mauroy, Spectral identification of networks with generalized diffusive coupling, Proceedings of the 25th International Symposium on Mathematical Theory of Networks and Systems (MTNS2022), Bayreuth (Germany), September 2022 [PDF]
C. M. Zagabe and A. Mauroy, Switched nonlinear systems in the Koopman operator framework: Toward a novel Lie-algebraic characterization of uniform stability, Proceedings of the ECC 2021, July 2022 [PDF]
A. Mauroy and Y. Susuki, Introduction to the Koopman operator in Systems and Control, Proceedings of the SICE Conference, Nara (Japan), pp. 59-63, September 2018
A. Mauroy and J. Goncalves, Dual systems identification methods based on Koopman operator theory, Proceedings of the SICE Conference, Nara (Japan), pp. 64-67, September 2018
A. Mauroy and J. Hendrickx, Spectral identification of networks with inputs, Proceedings of the 56th Conference on Decision and Control, Melbourne (Australia), pp. 469-474, December 2017 [PDF]
A. Mauroy and J. Goncalves, Linear identification of nonlinear systems: A lifting technique based on the Koopman operator, Proceedings of the 55th Conference on Decision and Control, Las Vegas (USA), pp. 6500-6505, December 2016 [PDF]
L. Mombaerts, A. Mauroy, and J. Goncalves, Optimising modelling from time-series modelling of circadian rhythms: steady state versus transient data, 6th IFAC Conference on Foundations of Systems Biology in Engineering (FOSBE), Magdeburg (Germany), October 2016
A. Sootla, A. Mauroy, and J. Goncalves, Shaping pulses to control bistable monotone systems using Koopman operator, Proceedings of the 10th IFAC Symposium on Nonlinear Control Systems (NOLCOS), Monterey (USA), pp. 710-715, August 2016 [PDF]
A. Sootla and A. Mauroy, Properties of isostables and basins of attraction of monotone systems, American Control Conference, Boston (USA), July 2016 [arXiv]
A. Mauroy, F. Forni, and R. Sepulchre, An operator-theoretic approach to differential positivity, Proceedings of the 54th Conference on Decision and Control, Osaka (Japan), pp. 7028-7033, December 2015 [PDF]
G. I. Cirillo, A. Mauroy, L. Renson, G. Kerschen, and R. Sepulchre, Global parametrization of the invariant manifold defining nonlinear normal modes using the Koopman operator, Proceedings of the ASME 2015 International Design Engineering Technical Conferences, Boston (USA), August 2015 [PDF]
A. Mauroy, Converging to and escaping from the global equilibrium: Isostables and optimal control, Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles (USA), pp. 5888-5893, December 2014 [PDF]
A. Mauroy and I. Mezic, A spectral operator-theoretic framework for global stability, Proceedings of the 52nd IEEE Conference on Decision and Control, Florence (Italy), pp. 5234-5239, December 2013 [PDF]
A. Mauroy, P. Sacré, and R. Sepulchre, Kick synchronization versus diffusive synchronization, Proceedings of the 51st IEEE Conference on Decision and Control (invited tutorial paper), Maui (USA), pp. 7171-7183, December 2012 [PDF]
A. Mauroy and 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, Orlando (USA), pp. 6754-6759, December 2011 [PDF]
A. Mauroy, J. Hendrickx, A. Megretski, and R. Sepulchre, Global analysis of firing maps, Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS2010), Budapest (Hungary), pp. 1775-1782, July 2010 [PDF]
Theses
PhD Thesis: On the collective dichotomic behaviors of large populations of pulse-coupled firing oscillators, October 2011 [PDF]
Graduation thesis: Dynamical phenomena of synchronization by impulsive coupling, June 2007