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authFullName_s : Bernard Bonnard

Smooth approximations of single-input controlled Keplerian trajectories: homotopies and averaging

Bernard Bonnard , Jean-Baptiste Caillau , Romain Dujol
Joint CTS-HYCON Workshop on Nonlinear and Hybrid Control, 2006, France. pp.76-95
Conference papers hal-00540293v1
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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

Energy minimization of single input orbit transfer by averaging and continuation

Jean-Baptiste Caillau , Bernard Bonnard , Romain Dujol
Bull. Sci. Math., 2006, 130 (8), pp.707-719
Journal articles hal-00540255v1
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Geometric and numerical methods in optimal control for the time minimal saturation in Magnetic Resonance

Jérémy Rouot , Bernard Bonnard , Olivier Cots , Thibaut Verron
Dynamics, Control and Geometry In honor of Bronisław Jakubczyk's 70th birthday, Sep 2018, Varsovie, Poland
Documents associated with scientific events hal-02483317v1
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Geometric analysis of minimum time Keplerian orbit transfers

Bernard Bonnard , Jean-Baptiste Caillau , Emmanuel Trélat
Proceedings of the 22nd IFIP TC 7 Conference on System Modeling and Optimization, Torino, Italy., 2006, Torino, Italy. 6 p
Conference papers hal-00086456v1
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One-parameter family of Clairaut-Liouville metrics

Bernard Bonnard , Jean-Baptiste Caillau , Minoru Tanaka
2007
Preprints, Working Papers, ... hal-00177686v3
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Zermelo Navigation Problems on Surfaces of Revolution and Geometric Optimal Control

Bernard Bonnard , Olivier Cots , Boris Wembe
2022
Preprints, Working Papers, ... hal-03209491v3
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Geometric optimal control of elliptic Keplerian orbits

Bernard Bonnard , Jean-Baptiste Caillau , Emmanuel Trélat
Discrete and Continuous Dynamical Systems - Series S, 2005, Series B, 5 (4), pp.929--956
Journal articles hal-00086345v1
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Second order optimality conditions in optimal control with applications

Bernard Bonnard , Jean-Baptiste Caillau , Emmanuel Trélat
2006
Preprints, Working Papers, ... hal-00090374v1

Averaging and optimal control of elliptic Keplerian orbits with low propulsion

Bernard Bonnard , Jean-Baptiste Caillau , Romain Dujol
Systems and Control Letters, 2006, 55 (9), pp.755-760. ⟨10.1016/j.sysconle.2006.03.004⟩
Journal articles istex hal-00540257v1
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Working Notes on the Time Minimal Saturation of a Pair of Spins and Application in Magnetic Resonance Imaging

Bernard Bonnard , Olivier Cots , Jérémy Rouot , Thibaut Verron
2018
Preprints, Working Papers, ... hal-01721845v2
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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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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

Bernard Bonnard , Olivier Cots , Jean-Charles Faugère , Alain Jacquemard , Jérémy Rouot et al.
2017
Preprints, Working Papers, ... hal-01556806v1
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Conjugate and cut loci in averaged orbital transfer

Bernard Bonnard , Jean-Baptiste Caillau
2006
Preprints, Working Papers, ... hal-00129774v1
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Cotcot: short reference manual

Bernard Bonnard , Jean-Baptiste Caillau , Emmanuel Trélat
2005
Preprints, Working Papers, ... hal-00086640v1
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Computation of conjugate times in smooth optimal control: the COTCOT algorithm

Bernard Bonnard , Jean-Baptiste Caillau , Emmanuel Trélat
2005, 6 p
Conference papers hal-00086460v1
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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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Conjugate and cut loci of a two-sphere of revolution with application to optimal control

Bernard Bonnard , Jean-Baptiste Caillau , Robert Sinclair , Minoru Tanaka
2008
Preprints, Working Papers, ... hal-00212075v2
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Geodesic flow of the averaged controlled Kepler equation

Bernard Bonnard , Jean-Baptiste Caillau
2008
Preprints, Working Papers, ... hal-00134702v6
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Note on singular Clairaut-Liouville metrics

Bernard Bonnard , Jean-Baptiste Caillau
2008
Preprints, Working Papers, ... hal-00202493v3

Remarks on quadratic Hamiltonians in spaceflight mechanics

Bernard Bonnard , Jean-Baptiste Caillau , Romain Dujol
3rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 2006, Japan. pp.365-373
Conference papers hal-00540295v1
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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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A global optimality result with application to orbital transfer

Bernard Bonnard , Jean-Baptiste Caillau
2006
Preprints, Working Papers, ... hal-00129535v1

Smooth homotopies for single-input time optimal orbital transfer

Bernard Bonnard , Jean-Baptiste Caillau , Romain Dujol
13th IFAC Workshop on Control Applications of Optimisation, 2006, France. pp.26-31
Conference papers hal-00540284v1
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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

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

Averaging and optimal control of elliptic Keplerian orbits with low propulsion

Bernard Bonnard , Jean-Baptiste Caillau , Romain Dujol
13th IFAC Workshop on Control Applications of Optimisation (CAO 2006), IFAC: International Federation of Automatic Control, 2006, Paris, France. pp.20-25
Conference papers hal-00540280v1