Publications:

Journal Articles:

Optimal control: 

• N.Augier, M.Korda, R.Rios-Zertuche, Young measure relaxation gaps for controllable systems with smooth state constraints.    arXiv:2503.13776

• N.Augier, M.Korda, R.Rios-Zertuche, Sufficient conditions for the absence of relaxation gaps in state-constrained optimal control. arXiv:2503.13780

• N.Augier, D.Henrion, M.Korda, V.Magron, Symmetry reduction and recovery of trajectories of optimal control problems via measure relaxations. 2024, ESAIM: COCV 30 (2024) 63, doi:https://doi.org/10.1051/cocv/2024053

Quantum control:

• N.Augier,  Optimization of adiabatic control strategies along non-mixing curves with singularities. 2023, Journal of Dynamical and Control Systems, 10.1007/s10883-022-09614-0

• R.Robin, N.Augier, U.Boscain, and M.Sigalotti, Ensemble qubit controllability with a single control via adiabatic and rotating wave approximations. 2022, Journal of Differential Equations, doi: 10.1016/j.jde.2022.02.042

• N.Augier, U.Boscain, and M.Sigalotti, Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation. Automatica 2022, doi:10.1016/j.automatica.2021.110034

• N.Augier, U.Boscain, and M.Sigalotti, Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems. Mathematical Control And Related Fields (2020), p 877-911, doi: 10.3934/mcrf.2020023 

•  N. Augier, U. Boscain, and M. Sigalotti,  Adiabatic ensemble control of a continuum of quantum systems,  SIAM Journal on Control and Optimization, 56 (2018), pp. 4045-4068,  doi: 10.1137/17M1140327

Control of networked dynamics, control of hybrid systems:

• N.Augier, A.Yabo, On L¹ and time-optimal state transitions in piecewise linear models of gene-regulatory networks, hal-04820387 

• N.Augier, A.Yabo, Time-optimal control of piecewise affine bistable gene-regulatory networks, International Journal of Robust and Nonlinear Control, 2022,  https://doi.org/10.1002/rnc.6012 

• N.Augier, M.Chaves, JL.Gouzé, Qualitative control strategies for synchronization of bistable gene regulatory networks. 2022, IEEE Transactions on Automatic Control.   doi:10.1109/TAC.2022.3145653.

• N.Augier, M.Chaves, JL.Gouzé, Weak synchronization and convergence in coupled genetic regulatory networks: Applications to damped oscillators and multistable circuits. 2022, International Journal of Robust and Nonlinear Control, doi: 10.1002/rnc.6061

Conference Proceedings:

• N.Augier, M.Chaves, JL.Gouzé, Control for synchronization of bistable piecewise affine genetic regulatory networks. Proceedings of 6th IFAC Conference on Analysis and Control of Chaotic Systems (CHAOS 2021)

• N.Augier, A.Yabo, Time-optimal control of piecewise affine bistable gene-regulatory networks: preliminary results. Proceedings of 7th IFAC Conference on Analysis and Design of Hybrid Systems (ADHS 2021)

• N.Augier,U.Boscain, and M.Sigalotti,  On the compatibility between the adiabatic and the rotating wave approximations in quantum control .  Proceedings of IEEE 58th Conference on Decision and Control (CDC 2019). 

Dissemination:

• N. Augier, U. Boscain, and M. Sigalotti, Control of Quantum Systems by Broken Adiabatic Paths,  Control of Quantum Systems by Broken Adiabatic Paths, ERCIM News, Vol. 112, 2018.

Phd Thesis:

• Adiabatic control of quantum systems, Université Paris-Saclay, 2019, under the supervision of Ugo Boscain and Mario Sigalotti.