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38

CV - Olivier Cots


Assistant professor of applied mathematics at IRIT (UMR CNRS 5505)ENSEEIHT (Dépt. SN) 

Scientific interests: Optimal control: Geometry, algorithms and applications 

Team Algo. Parallèles et OptimisationSMAI-MODE group member


Journal articles14 documents

  • Térence Bayen, Olivier Cots. Tangency property and prior-saturation points in minimal time problems in the plane. Acta Applicandae Mathematicae, Springer Verlag, 2020, ⟨10.1007/s10440-020-00344-8⟩. ⟨hal-02280065v3⟩
  • Bernard Bonnard, Olivier Cots, Jérémy Rouot, Thibaut Verron. Time minimal saturation of a pair of spins and application in magnetic resonance imaging. Mathematical Control and Related Fields, AIMS, 2020, 10 (1), pp.47-88. ⟨10.3934/mcrf.2019029⟩. ⟨hal-01779377v3⟩
  • Bernard Bonnard, Olivier Cots, Boris Wembe. A Zermelo navigation problem with a vortex singularity. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, In press, ⟨10.1051/cocv/2020058⟩. ⟨hal-02296046v3⟩
  • Térence Bayen, Olivier Cots, Pedro Gajardo. Analysis of an optimal control problem related to anaerobic digestion process. Journal of Optimization Theory and Applications, Springer Verlag, 2018, 178 (2), pp.627-659. ⟨10.1007/s10957-018-1292-7⟩. ⟨hal-01629188v2⟩
  • Olivier Cots. Geometric and numerical methods for a state constrained minimum time control problem of an electric vehicle. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2017, pp.35. ⟨10.1051/cocv/2016070⟩. ⟨hal-01367919v2⟩
  • Olivier Cots, Joseph Gergaud, Damien Goubinat. Direct and indirect methods in optimal control with state constraints and the climbing trajectory of an aircraft. Optimal Control Applications and Methods, Wiley, 2017, pp.23. ⟨hal-01367918v2⟩
  • Bernard Bonnard, Mathieu Claeys, Olivier Cots, Pierre Martinon. Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance. Acta Applicandae Mathematicae, Springer Verlag, 2015, 135 (1), pp.5-45. ⟨10.1007/s10440-014-9947-3⟩. ⟨hal-00867753v2⟩
  • Bernard Bonnard, Olivier Cots, Jean-Baptiste Pomet, Nataliya Shcherbakova. Riemannian metrics on 2D-manifolds related to the Euler-Poinsot rigid body motion. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2014, 20 (3), pp.864-893. ⟨10.1051/cocv/2013087⟩. ⟨hal-00918587v2⟩
  • Bernard Bonnard, Olivier Cots. Geometric Numerical Methods and Results in the Control Imaging Problem in Nuclear Magnetic Resonance. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2014, vol. 24 (n° 1), pp. 187-212. ⟨10.1142/S0218202513500504⟩. ⟨hal-01136896⟩
  • Bernard Bonnard, Olivier Cots, Lionel Jassionnesse. Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces. Springer INdAM Series, Springer, 2014, Geometric Control Theory and Sub-Riemannian Geometry, 5, pp.53-72. ⟨hal-00925071⟩
  • Bernard Bonnard, Olivier Cots, Nataliya Shcherbakova. Energy minimization problem in two-level dissipative quantum control: meridian case. Journal of Mathematical Sciences, Springer Verlag (Germany), 2013, vol. 195 (n° 3), pp. 311-335. ⟨10.1007/s10958-013-1582-4⟩. ⟨hal-01122070⟩
  • Bernard Bonnard, Olivier Cots, Nataliya Shcherbakova. The Serret-Andoyer Riemannian metric and Euler-Poinsot rigid body motion. Mathematical Control and Related Fields, AIMS, 2013, 3, pp.287-302. ⟨10.3934/mcrf.2013.3.287⟩. ⟨hal-00908905⟩
  • Bernard Bonnard, Olivier Cots, Steffen Glaser, Marc Lapert, Dominique Sugny, et al.. Geometric Optimal Control of the Contrast Imaging Problem in Nuclear Magnetic Resonance. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2012, 57, pp.1957--1969. ⟨10.1109/TAC.2012.2195859⟩. ⟨hal-00750032⟩
  • Jean-Baptiste Caillau, Olivier Cots, Joseph Gergaud. Differential pathfollowing for regular optimal control problems. Optimization Methods and Software, Taylor & Francis, 2012, 27 (2), pp.177-196. ⟨hal-00641908⟩

Conference papers13 documents

  • Térence Bayen, Olivier Cots. Tangency property and prior-saturation points in planar minimal time problems. International Federation of Automatic Control 2020 (IFAC 2020), Jul 2020, Berlin, Germany. ⟨hal-02926508⟩
  • Terence Bayen, Olivier Cots. About prior saturation points for affine control systems (Journées MODE 2018, Autrans). Journées du groupe thématique MODE de la Société de Mathématiques Appliquées et Industrielles (SMAI) (Journées SMAI MODE 2018), Société de Mathématiques Appliquées et Industrielles (SMAI); European Network for Game Theory (COST Action CA16228), Mar 2018, Autrans, France. ⟨hal-03044236⟩
  • Olivier Cots, Bernard Bonnard, Jérémy Rouot, Thibaut Verron. Geometric and numerical methods for the contrast and saturation problems in Magnetic Resonance Imaging. Programme Gaspard Monge - PGMO Days 2018, Nov 2018, Paris, France. ⟨hal-02982975⟩
  • Olivier Cots, Patrick Delpy, Joseph Gergaud, Damien Goubinat. On the minimum time optimal control problem of an aircraft in its climbing phase. 7th Euporean Conferencer for Aeronautics and Aerospace Sciences (EUCASS 2017), Jul 2017, Milan, Italy. pp.1-14. ⟨hal-02559831⟩
  • Olivier Cots. HAMPATH : Suivi de chemin différentiel et conditions du second ordre en contrôle optimal (Congrès SMAI 2017). 8e Biennale Française des Mathématiques Appliquées et Industrielles (Congrès SMAI 2017), Société de Mathématiques Appliquées et Industrielles (SMAI); Fédération de recherche ARC Mathématiques, CNRS 3399, Jun 2017, Ronce-les-bains, France. ⟨hal-03128331⟩
  • Olivier Cots, Joseph Gergaud, Damien Goubinat. Time-optimal aircraft trajectories in climbing phase and singular perturbations. 20th World Congress of the International Federation of Automatic Control (IFAC 2017), Jul 2017, Toulouse, France. pp.1625-1630, ⟨10.1016/j.ifacol.2017.08.327⟩. ⟨hal-02871308⟩
  • Olivier Cots, Joseph Gergaud, Damien Goubinat. Perturbation singulière en contrôle optimal et le problème de montée en temps minimal d'un avion (Congrès SMAI 2017, Ronce-les-bains, 05/06/17-09/06/17). Congrès SMAI 2017, Jun 2017, Ronce-les-bains, Région indéterminée. ⟨hal-03116288⟩
  • Bastien Durix, Géraldine Morin, Sylvie Chambon, Céline Roudet, Lionel Garnier, et al.. Reconstruction basée squelette d'un objet 3D à partir de points de vue multiples. Journées du Groupe de Travail en Modélisation Géométrique (GTMG 2016), Mar 2016, Dijon, France. pp. 1-11. ⟨hal-01491211⟩
  • Damien Goubinat, Olivier Cots, Joseph Gergaud. Problème de contrôle optimal en temps minimal pour un avion contraint en phase de montée. Journées de la Société de Mathémathiques Appliquées et Industrielles - Mathématiques de l’Optimisation et de la DEcision (SMAI-MODE 2016), Groupe thématique MODE (Mathématiques de l’Optimisation et de la DEcision) de la Société de Mathémathiques Appliquées et Industrielles (SMAI), Mar 2016, Toulouse, France. ⟨hal-03172253⟩
  • Damien Goubinat, Olivier Cots, Joseph Gergaud. Numerical Analysis in Optimal Control Problem for Aircraft Trajectories. 17th British-French-German Conference on Optimization (BGS 2015), Department of Computing, Imperial College London; Centre for Process Systems Engineering, Imperial College London; Imperial College Business School, Jun 2015, London, United Kingdom. ⟨hal-03213953⟩
  • Bernard Bonnard, Olivier Cots, Nataliya Shcherbakova. Riemannian metrics on 2D manifolds related to the Euler-Poinsot rigid body problem. 52nd IEEE Conference on Decision and Control (CDC 2013), Dec 2013, Firenze, Italy. pp. 1804-1809. ⟨hal-00925078v2⟩
  • Bernard Bonnard, Mathieu Claeys, Olivier Cots, Pierre Martinon. Comparison of Numerical Methods in the Contrast Imaging Problem in NMR. 52nd IEEE Conference on Decision and Control, Dec 2013, Firenze, Italy. ⟨hal-00800436⟩
  • Jean-Baptiste Caillau, Bernard Bonnard, Olivier Cots. Energy minimization in two-level dissipative quantum control: The integrable case. Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 2010, Germany. (to appear). ⟨hal-00586231⟩

Preprints, Working Papers, ...9 documents

  • Bernard Bonnard, Olivier Cots, Joseph Gergaud, Boris Wembe. Abnormal Geodesics in 2D-Zermelo Navigation Problems in the Case of Revolution and the Fan Shape of the Small Time Balls. 2021. ⟨hal-02437507v5⟩
  • Bernard Bonnard, Olivier Cots, Boris Wembe. Zermelo Navigation Problems on Surfaces of Revolution and Hamiltonian Dynamics. 2021. ⟨hal-03209491v1⟩
  • Olivier Cots, Joseph Gergaud, Boris Wembe. Homotopic approach for turnpike and singularly perturbed optimal control problems. 2020. ⟨hal-02338881⟩
  • Carlos Balsa, Olivier Cots, Joseph Gergaud, Boris Wembe. Minimum energy control of passive tracers advection in point vortices flow. 2020. ⟨hal-02865231⟩
  • Olivier Cots, Joseph Gergaud, B Wembe. About the minimal time control of passive tracers in presence of a single point vortex. 2019. ⟨hal-02070786⟩
  • Térence Bayen, Olivier Cots. About the prior-saturation phenomenon for minimal time problems in the plane. 2019. ⟨hal-02070271⟩
  • Olivier Cots, Joseph Gergaud, D Goubinat. The minimum time-to-climb and fuel consumption problems and CAS/Mach procedure for aircraft. 2018. ⟨hal-01936193⟩
  • Bernard Bonnard, Olivier Cots, Jérémy Rouot, Thibaut Verron. Working Notes on the Time Minimal Saturation of a Pair of Spins and Application in Magnetic Resonance Imaging. 2018. ⟨hal-01721845v2⟩
  • Bernard Bonnard, Olivier Cots, Jean-Charles Faugère, Alain Jacquemard, Jérémy Rouot, et al.. Algebraic-geometric techniques for the feedback classification and robustness of the optimal control of a pair of Bloch equations with application to Magnetic Resonance Imaging. 2017. ⟨hal-01556806⟩

Reports1 document

  • Bernard Bonnard, Mathieu Claeys, Olivier Cots, Alain Jacquemard, Pierre Martinon. A combination of algebraic, geometric and numerical methods in the contrast problem by saturation in magnetic resonance imaging. [Research Report] LAAS-CNRS. 2014. ⟨hal-01001975⟩

Theses1 document