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Olivier Cots

Associate professor of applied mathematics at INP-ENSEEIHT & IRIT
44
Documents
Current affiliations
  • 1001830
  • 34499
Researcher identifiers

Presentation

Assistant professor of applied mathematics at [IRIT (UMR CNRS 5505)](http://www.irit.fr/), [ENSEEIHT (Dépt. SN)](http://www.enseeiht.fr/fr) Scientific interests: Optimal control: Geometry, algorithms and applications Team [Algo. Parallèles et Optimisation](http://apo.enseeiht.fr/), [SMAI-MODE](http://smai.emath.fr/spip.php?article330&lang=fr) group member
Maître de conférences en mathématiques appliquées à l'[IRIT (UMR CNRS 5505)](http://www.irit.fr/) - [ENSEEIHT (Dépt. SN)](http://www.enseeiht.fr/fr) Intérêts scientifiques: Contrôle optimal: Géométrie, algorithmes et applications Membre de l'équipe [Algo. Parallèles et Optimisation](http://apo.enseeiht.fr/), du bureau [SMAI-MODE](http://smai.emath.fr/spip.php?article330&lang=fr)

Research domains

Optimization and Control [math.OC]

Publications

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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-03209491v5
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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-02437507v6
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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-03896137v1
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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-02296046v3
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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-02280065v3
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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-01779377v3
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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-01629188v2
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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-01367918v2
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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-01367919v2
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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-00867753v2
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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-00918587v2
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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-00925071v1
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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-01136896v1
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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-01122070v1
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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-00908905v1

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

Bernard Bonnard , Olivier Cots , Steffen Glaser , Marc Lapert , Dominique Sugny
IEEE Transactions on Automatic Control, 2012, 57, pp.1957--1969. ⟨10.1109/TAC.2012.2195859⟩
Journal articles hal-00750032v1
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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-00641908v1
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The energy minimization problem for two-level dissipative quantum systems

B. Bonnard , Olivier Cots , N. Shcherbakova , D. Sugny
Journal of Mathematical Physics, 2010, 51 (9), pp.44. ⟨10.1063/1.3479390⟩
Journal articles hal-04177744v1
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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-03558975v2
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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-03807030v1
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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-02338881v2
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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-02926508v1
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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-02865231v1

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-02982975v1

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-03044236v1
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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-02871308v1

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-03128331v1

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-03116288v1
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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-02559831v1
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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
Journées du Groupe de Travail en Modélisation Géométrique (GTMG 2016), Mar 2016, Dijon, France. pp.1-11
Conference papers hal-01491211v1

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-03172253v1

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-03213953v1
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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-00925078v2
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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-00800436v1

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-00586231v1

Numerical Analysis of Optimal Control Problems for Aircraft Trajectory Computation (Poster)

Olivier Cots , Joseph Gergaud , Damien Goubinat
3rd Workshop Geometric control and related fields (2014), Nov 2014, Linz, Austria. , 2014
Conference poster hal-03266919v1
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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-00742927v4