Skip to Main content

Keywords

Number of documents

32

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

  • 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. 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⟩
  • 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, 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⟩
  • 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⟩
  • 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, 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. 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, 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. ⟨hal-00918587v2⟩
  • 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, 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⟩
  • 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⟩
  • Bernard Bonnard, Olivier Cots, Steffen J. 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⟩

Conference papers7 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⟩
  • 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⟩
  • 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⟩
  • 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-01475271⟩
  • 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, 2013, Firenze, Italy. ⟨hal-00925078⟩
  • 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

  • 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⟩
  • Bernard Bonnard, Olivier Cots, Joseph Gergaud, Boris Wembe. Abnormal Curves in a Zermelo Navigation Problem in the Plane and the Fan Shape of Small Time Balls. 2020. ⟨hal-02437507v3⟩
  • Olivier Cots, Joseph Gergaud, Boris Wembe. Déplacement à temps minimal de particules passives sous l'action d'un point vortex (9e Biennale Française des Mathématiques Appliquées, Guidel Plages, 13/05/2019-17/05/2019). 2020. ⟨hal-02976626⟩
  • Olivier Cots, J 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⟩
  • 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⟩
  • Olivier Cots, J 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, 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