Olivier Cots

Associate professor of applied mathematics at INP-ENSEEIHT & IRIT
56
Documents
Current affiliations
  • Algorithmes Parallèles et Optimisation (IRIT-APO)
  • Institut de recherche en informatique de Toulouse (IRIT)
Researcher identifiers

Presentation

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 Optimisation, SMAI-MODE group member

Research domain

Optimization and Control [math.OC]

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Publications

Image document

Geometric preconditioner for indirect shooting and application to hybrid vehicle

Olivier Cots , Rémy Dutto , Sophie Jan , Serge Laporte
4th IFAC Conference of Modelling, Identification and Control of Nonlinear Systems, Sep 2024, Lyon, France
Conference papers hal-04473962 v2

Trajectory optimisation in space mechanics with Julia

Joseph Gergaud , Jean-Baptiste Caillau , Olivier Cots , Alesia Herasimenka
JuliaCon 2024 - 11th Conference on the Julia programming language, Jul 2024, Eindhoven, Netherlands
Conference papers hal-04724679 v1
Image document

control-toolbox: solving control problems within Julia

Joseph Gergaud , Jean-Baptiste Caillau , Olivier Cots , Pierre Martinon
FGS 2024 - 21st French-German-Spanish conferences on Optimization, Oviedo University, Jun 2024, Gijón, Asturias, Spain. à paraître
Conference papers hal-04651475 v1
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Solving optimal control problems with Julia

Jean-Baptiste Caillau , Olivier Cots , Joseph Gergaud , Pierre Martinon
Julia and Optimization Days 2023, CNAM; CNRS - Groupe CALCUL, Oct 2023, Paris, France
Conference papers hal-04277441 v1
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Generation of value function data for bilevel optimal control and application to hybrid electric vehicle

Olivier Cots , Rémy Dutto , Sophie Jan , Serge Laporte
Thematic Einstein Semester conference on Mathematical Optimization for Machine Learning, Sep 2023, Berlin, Germany
Conference papers hal-04359905 v2

Solving optimal control problems with Julia (talk)

Jean-Baptiste Caillau , Olivier Cots , Joseph Gergaud , Pierre Martinon
JuliaCon 2023, MIT: Massachusetts Institute of Technology, Cambridge, MA, USA, Jul 2023, Cambridge, Boston, United States
Conference papers hal-04277383 v1
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ct: control toolbox - Numerical tools and examples in optimal control

Jean-Baptiste Caillau , Olivier Cots , Pierre Martinon
Proceedings of 18th IFAC Workshop on Control Applications of Optimization, Jul 2022, Paris, France. pp.13-18, ⟨10.1016/j.ifacol.2022.08.074⟩
Conference papers hal-03558975 v2
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SMITH: differential homotopy and automatic differentiation for computing thermodynamic diagrams of complex mixtures

Olivier Cots , Joseph Gergaud , Nataliya Shcherbakova
31th European Symposium on Computer Aided Process Engineering (ESCAPE-31 2021), European Federation of Chemical Engineering (EFCE); CAPE Working Party(CAPE-WP); Chamber of Chemical Engineers of Turkey (KMO); Koc University, Istanbul, Jun 2021, Istanbul, Turkey. ⟨10.1016/B978-0-323-88506-5.50166-2⟩
Conference papers hal-03807030 v1
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Homotopic approach for turnpike and singularly perturbed optimal control problems

Olivier Cots , Joseph Gergaud , Boris Wembe
19th French-German-Swiss conference on Optimization, Sep 2021, Nice, France
Conference papers hal-02338881 v2
Image document

Minimum energy control of passive tracers advection in point vortices flow

Carlos Balsa , Olivier Cots , Joseph Gergaud , Boris Wembe
14th International Conference on Automatic Control and Soft Computing (CONTROLO 2020), Jul 2020, Bragança, Portugal
Conference papers hal-02865231 v1
Image document

Tangency property and prior-saturation points in planar minimal time problems

Térence Bayen , Olivier Cots
International Federation of Automatic Control 2020 (IFAC 2020), Jul 2020, Berlin, Germany
Conference papers hal-02926508 v1

About prior saturation points for affine control systems (Journées MODE 2018, Autrans)

Terence Bayen , Olivier Cots
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
Conference papers hal-03044236 v1

Geometric and numerical methods for the contrast and saturation problems in Magnetic Resonance Imaging

Olivier Cots , Bernard Bonnard , Jérémy Rouot , Thibaut Verron
Programme Gaspard Monge - PGMO Days 2018, Nov 2018, Paris, France
Conference papers hal-02982975 v1
Image document

Time-optimal aircraft trajectories in climbing phase and singular perturbations

Olivier Cots , Joseph Gergaud , Damien Goubinat
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⟩
Conference papers hal-02871308 v1

HAMPATH : Suivi de chemin différentiel et conditions du second ordre en contrôle optimal (Congrès SMAI 2017)

Olivier Cots
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
Conference papers hal-03128331 v1

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)

Olivier Cots , Joseph Gergaud , Damien Goubinat
Congrès SMAI 2017, Jun 2017, Ronce-les-bains, Région indéterminée
Conference papers hal-03116288 v1
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On the minimum time optimal control problem of an aircraft in its climbing phase

Olivier Cots , Patrick Delpy , Joseph Gergaud , Damien Goubinat
7th Euporean Conferencer for Aeronautics and Aerospace Sciences (EUCASS 2017), Jul 2017, Milan, Italy. pp.1-14
Conference papers hal-02559831 v1
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Reconstruction basée squelette d'un objet 3D à partir de points de vue multiples

Bastien Durix , Géraldine Morin , Sylvie Chambon , Céline Roudet , Lionel Garnier et al.
Journées du Groupe de Travail en Modélisation Géométrique (GTMG 2016), Mar 2016, Dijon, France. pp.1-11
Conference papers hal-01491211 v1

Problème de contrôle optimal en temps minimal pour un avion contraint en phase de montée

Damien Goubinat , Olivier Cots , Joseph Gergaud
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
Conference papers hal-03172253 v1

Numerical Analysis in Optimal Control Problem for Aircraft Trajectories

Damien Goubinat , Olivier Cots , Joseph Gergaud
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
Conference papers hal-03213953 v1
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Riemannian metrics on 2D manifolds related to the Euler-Poinsot rigid body problem

Bernard Bonnard , Olivier Cots , Nataliya Shcherbakova
52nd IEEE Conference on Decision and Control (CDC 2013), Dec 2013, Firenze, Italy. pp. 1804-1809
Conference papers hal-00925078 v2
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Comparison of Numerical Methods in the Contrast Imaging Problem in NMR

Bernard Bonnard , Mathieu Claeys , Olivier Cots , Pierre Martinon
52nd IEEE Conference on Decision and Control, Dec 2013, Firenze, Italy
Conference papers hal-00800436 v1

Energy minimization in two-level dissipative quantum control: The integrable case

Jean-Baptiste Caillau , Bernard Bonnard , Olivier Cots
Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 2010, Germany. (to appear)
Conference papers hal-00586231 v1
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On the reduction of a spatially hybrid optimal control problem into a temporally hybrid optimal control problem

Térence Bayen , Anas Bouali , Loïc Bourdin , Olivier Cots
AIMS on Applied Mathematics. IVAN KUPKA LEGACY: A Tour Through Controlled Dynamics, 12, 2024, ISBN-10: 1-60133-026-X
Book sections hal-04319045 v1
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Zermelo navigation on the sphere with revolution metrics

Bernard Bonnard , Olivier Cots , Yannick Privat , Emmanuel Trélat
IVAN KUPKA LEGACY: A Tour Through Controlled Dynamics, 12, pp.35--66, 2024, AIMS Applied Math Books - Special issue in honor of I. Kupka, ISBN-10: 1-60133-026-X ISBN-13: 978-1-60133-026-0
Book sections hal-04433828 v1
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Numerical Tools for Geometric Optimal Control and the Julia control-toolbox package

Olivier Cots , Joseph Gergaud
Bernard Bonnard; Monique Chyba; David Holcman; Emmanuel Trélat. Ivan KUPKA LEGACY: A Tour Through Controlled Dynamics, 58 (chapter 10), AIMS Sciences, pp.209--243, 2024, AIMS on Applied Mathematics, 978-1-60133-026-0
Book sections hal-04578955 v1
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Loss control regions in optimal control problems

Térence Bayen , Anas Bouali , Loïc Bourdin , Olivier Cots
Journal of Differential Equations, In press, 405, pp.359-397. ⟨10.1016/j.jde.2024.06.016⟩
Journal articles hal-04137550 v1
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A bilevel optimal control method and application to the hybrid electric vehicle

Olivier Cots , Rémy Dutto , Sophie Jan , Serge Laporte
Optimal Control Applications and Methods, 2023, ⟨10.1002/oca.3247⟩
Journal articles hal-04359870 v2
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Zermelo Navigation Problems on Surfaces of Revolution and Geometric Optimal Control

Bernard Bonnard , Olivier Cots , Boris Wembe
ESAIM: Control, Optimisation and Calculus of Variations, 2023, 29 (60), pp.34. ⟨10.1051/cocv/2023052⟩
Journal articles hal-03209491 v5
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Abnormal Geodesics in 2D-Zermelo Navigation Problems in the Case of Revolution and the Fan Shape of the Small Time Balls

Bernard Bonnard , Olivier Cots , Joseph Gergaud , Boris Wembe
Systems and Control Letters, 2022, 161, pp.105140. ⟨10.1016/j.sysconle.2022.105140⟩
Journal articles hal-02437507 v6
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Singular versus boundary arcs for aircraft trajectory optimization in climbing phase

Olivier Cots , Joseph Gergaud , Damien Goubinat , Boris Wembe
ESAIM: Mathematical Modelling and Numerical Analysis, 2022, 57 (2), pp.817-839. ⟨10.1051/m2an/2022101⟩
Journal articles hal-03896137 v1
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A Zermelo navigation problem with a vortex singularity

Bernard Bonnard , Olivier Cots , Boris Wembe
ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27 (S), pp.S10. ⟨10.1051/cocv/2020058⟩
Journal articles hal-02296046 v3
Image document

Tangency property and prior-saturation points in minimal time problems in the plane

Térence Bayen , Olivier Cots
Acta Applicandae Mathematicae, 2020, ⟨10.1007/s10440-020-00344-8⟩
Journal articles hal-02280065 v3
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Time minimal saturation of a pair of spins and application in magnetic resonance imaging

Bernard Bonnard , Olivier Cots , Jérémy Rouot , Thibaut Verron
Mathematical Control and Related Fields, 2020, 10 (1), pp.47-88. ⟨10.3934/mcrf.2019029⟩
Journal articles hal-01779377 v3
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Analysis of an optimal control problem related to anaerobic digestion process

Térence Bayen , Olivier Cots , Pedro P. Gajardo
Journal of Optimization Theory and Applications, 2018, 178 (2), pp.627-659. ⟨10.1007/s10957-018-1292-7⟩
Journal articles hal-01629188 v2
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Geometric and numerical methods for a state constrained minimum time control problem of an electric vehicle

Olivier Cots
ESAIM: Control, Optimisation and Calculus of Variations, 2017, pp.35. ⟨10.1051/cocv/2016070⟩
Journal articles hal-01367919 v2
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Direct and indirect methods in optimal control with state constraints and the climbing trajectory of an aircraft

Olivier Cots , Joseph Gergaud , Damien Goubinat
Optimal Control Applications and Methods, 2017, pp.23
Journal articles hal-01367918 v2
Image document

Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance

Bernard Bonnard , Mathieu Claeys , Olivier Cots , Pierre Martinon
Acta Applicandae Mathematicae, 2015, 135 (1), pp.5-45. ⟨10.1007/s10440-014-9947-3⟩
Journal articles hal-00867753 v2
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Geometric Numerical Methods and Results in the Control Imaging Problem in Nuclear Magnetic Resonance

Bernard Bonnard , Olivier Cots
Mathematical Models and Methods in Applied Sciences, 2014, vol. 24 (n° 1), pp. 187-212. ⟨10.1142/S0218202513500504⟩
Journal articles hal-01136896 v1
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Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces

Bernard Bonnard , Olivier Cots , Lionel Jassionnesse
Springer INdAM Series, 2014, Geometric Control Theory and Sub-Riemannian Geometry, 5, pp.53-72
Journal articles hal-00925071 v1
Image document

Riemannian metrics on 2D-manifolds related to the Euler-Poinsot rigid body motion

Bernard Bonnard , Olivier Cots , Jean-Baptiste Pomet , Nataliya Shcherbakova
ESAIM: Control, Optimisation and Calculus of Variations, 2014, 20 (3), pp.864-893. ⟨10.1051/cocv/2013087⟩
Journal articles hal-00918587 v2
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The Serret-Andoyer Riemannian metric and Euler-Poinsot rigid body motion

Bernard Bonnard , Olivier Cots , Nataliya Shcherbakova
Mathematical Control and Related Fields, 2013, 3, pp.287-302. ⟨10.3934/mcrf.2013.3.287⟩
Journal articles hal-00908905 v1
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Energy minimization problem in two-level dissipative quantum control: meridian case

Bernard Bonnard , Olivier Cots , Nataliya Shcherbakova
Journal of Mathematical Sciences, 2013, vol. 195 (n° 3), pp. 311-335. ⟨10.1007/s10958-013-1582-4⟩
Journal articles hal-01122070 v1
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Differential continuation for regular optimal control problems

Jean-Baptiste Caillau , Olivier Cots , Joseph Gergaud
Optimization Methods and Software, 2012, 27 (2), pp.177-196. ⟨10.1080/10556788.2011.593625⟩
Journal articles hal-00641908 v1

Geometric Optimal Control of the Contrast Imaging Problem in Nuclear Magnetic Resonance

Bernard Bonnard , Olivier Cots , Steffen Glaser , Marc Lapert , Dominique Sugny et al.
IEEE Transactions on Automatic Control, 2012, 57, pp.1957--1969. ⟨10.1109/TAC.2012.2195859⟩
Journal articles hal-00750032 v1
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The energy minimization problem for two-level dissipative quantum systems

B. Bonnard , Olivier Cots , D. Sugny , Nataliya Shcherbakova
Journal of Mathematical Physics, 2010, 51 (9), pp.44. ⟨10.1063/1.3479390⟩
Journal articles hal-04177744 v1
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Contrôle optimal géométrique : méthodes homotopiques et applications

Olivier Cots
Mathématiques générales [math.GM]. Université de Bourgogne, 2012. Français. ⟨NNT : 2012DIJOS008⟩
Theses tel-00742927 v4