Bernard Bonnard

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All published works

Action	Title	Year	Authors
+ PDF Chat	Optimal Control of the Controlled Lotka–Volterra Equations with Applications. The Permanent Case	2023	Bernard Bonnard Jérémy Rouot
+ PDF Chat	Zermelo navigation problems on surfaces of revolution and geometric optimal control	2023	Bernard Bonnard Olivier Cots Boris Wembe
+	Optimal Control of the Lotka-Volterra Equations with Applications	2022	Bernard Bonnard Jérémy Rouot
+	Accessibility properties of abnormal geodesics in optimal control illustrated by two case studies	2022	Bernard Bonnard Jérémy Rouot Boris Wembe
+ PDF Chat	Finite dimensional approximation to muscular response in force-fatigue dynamics using functional electrical stimulation	2022	Toufik Bakir Bernard Bonnard Sandrine Gayrard Jérémy Rouot
+ PDF Chat	Geometric Optimal Control of the Generalized Lotka-Volterra Model with Applications Controlled Stability of Microbiota	2022	Jérémy Rouot Bernard Bonnard
+ PDF Chat	Abnormal geodesics in 2D-Zermelo navigation problems in the case of revolution and the fan shape of the small time balls	2022	Bernard Bonnard Olivier Cots Joseph Gergaud Boris Wembe
+	Accessibility Properties of Abnormal Geodesics in Optimal Control Illustrated by Two Case Studies	2022	Bernard Bonnard Jérémy Rouot Boris Wembe
+ PDF Chat	Toward Geometric Time Minimal Control without Legendre Condition and with Multiple Singular Extremals for Chemical Networks. An Extended Version	2021	Bernard Bonnard Jérémy Rouot
+	Singular Trajectories in Optimal Control	2021	Bernard Bonnard Monique Chyba
+	Finite Dimensional Approximation to Muscular Response in Force-Fatigue Dynamics using Functional Electrical Stimulation	2021	Toufik Bakir Bernard Bonnard Sandrine Gayrard Jérémy Rouot
+	Geometric and numerical methods in optimal control for the time minimal saturation in Magnetic Resonance Imaging (Dynamics, Control, and Geometry, In honor of Bronislaw Jakubczyk's 70th birthday, Banach Center, Warsaw, 12/09/2018-15/09/2018)	2020	Bernard Bonnard Olivier Cots Jérémy Rouot Thibaut Verron
+ PDF Chat	A Zermelo navigation problem with a vortex singularity	2020	Bernard Bonnard Olivier Cots Boris Wembe
+	Towards Geometric Time Minimal Control without Legendre Condition and with Multiple Singular Extremals for Chemical Networks	2020	Bernard Bonnard Jérémy Rouot
+ PDF Chat	Time minimal saturation of a pair of spins and application in Magnetic Resonance Imaging	2019	Bernard Bonnard Olivier Cots Jérémy Rouot Thibaut Verron
+ PDF Chat	Geometric optimal control techniques to optimize the production of chemical reactors using temperature control	2019	Toufik Bakir Bernard Bonnard Jérémy Rouot
+	Geometric and numerical methods for the contrast and saturation problems in Magnetic Resonance Imaging	2018	Olivier Cots Bernard Bonnard Jérémy Rouot Thibaut Verron
+ PDF Chat	Working Notes on the Time Minimal Saturation of a Pair of Spins and Application in Magnetic Resonance Imaging	2018	Bernard Bonnard Olivier Cots Jérémy Rouot Thibaut Verron
+	Maximum Principle and Application to Nuclear Magnetic Resonance and Magnetic Resonance Imaging	2018	Bernard Bonnard Monique Chyba Jérémy Rouot
+ PDF Chat	Sub-Riemannian Geometry and swimming at low Reynolds number	2017	Jérémy Rouot Piernicola Bettiol Bernard Bonnard
+ PDF Chat	Optimal control theory, sub-Riemannian geometry and swimming of copepod	2017	Piernicola Bettiol Bernard Bonnard Alice Nolot Jérémy Rouot
+ PDF Chat	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	Bernard Bonnard Olivier Cots Jean‐Charles Faugère Alain Jacquemard Jérémy Rouot Mohab Safey El Din Thibaut Verron
+ PDF Chat	Optimal Control Theory and the Swimming Mechanism of the Copepod Zooplankton	2016	Piernicola Bettiol Bernard Bonnard Alice Nolot Jérémy Rouot
+ PDF Chat	Determinantal Sets, Singularities and Application to Optimal Control in Medical Imagery	2016	Bernard Bonnard Jean‐Charles Faugère Alain Jacquemard Mohab Safey El Din Thibaut Verron
+	Integrability methods in the time minimal coherence transfer for Ising chains of three spins	2015	Bernard Bonnard Thierry Combot Lionel Jassionnesse
+	Singular Trajectories in Optimal Control	2015	Bernard Bonnard Monique Chyba
+	Geometric Optimal Control with Applications	2015	Bernard Bonnard Monique Chyba
+ PDF Chat	Geometric and Numerical Methods in the Contrast Imaging Problem in Nuclear Magnetic Resonance	2014	Bernard Bonnard Mathieu Claeys Olivier Cots Pierre Martinon
+ PDF Chat	Time Versus Energy in the Averaged Optimal Coplanar Kepler Transfer Towards Circular Orbits	2014	Bernard Bonnard Helen C. Henninger Jana Němcová Jean‐Baptiste Pomet
+ PDF Chat	Riemannian metrics on 2D-manifolds related to the Euler−Poinsot rigid body motion	2014	Bernard Bonnard Olivier Cots Jean‐Baptiste Pomet Nataliya Shcherbakova
+	Two Applications of Geometric Optimal Control to the Dynamics of Spin Particles	2014	Bernard Bonnard Monique Chyba
+ PDF Chat	A combination of algebraic, geometric and numerical methods in the contrast problem by saturation in magnetic resonance imaging	2014	Bernard Bonnard Mathieu Claeys Olivier Cots Alain Jacquemard Pierre Martinon
+ PDF Chat	Riemannian metrics on 2D manifolds related to the Euler-Poinsot rigid body problem	2013	Bernard Bonnard Olivier Cots Nataliya Shcherbakova
+ PDF Chat	Comparison of numerical methods in the contrast imaging problem in NMR	2013	Bernard Bonnard Mathieu Claeys Olivier Cots Pierre Martinon
+ PDF Chat	GEOMETRIC NUMERICAL METHODS AND RESULTS IN THE CONTRAST IMAGING PROBLEM IN NUCLEAR MAGNETIC RESONANCE	2013	Bernard Bonnard Olivier Cots
+ PDF Chat	Metrics with equatorial singularities on the sphere	2013	Bernard Bonnard Jean‐Baptiste Caillau
+ PDF Chat	Conjugate-cut loci and injectivity domains on two-spheres of revolution	2013	Bernard Bonnard Jean‐Baptiste Caillau Gabriel Janin
+ PDF Chat	The Serret-Andoyer Riemannian metric and Euler-Poinsot rigid body motion	2013	Bernard Bonnard Olivier Cots Nataliya Shcherbakova
+ PDF Chat	Geometric Optimal Control of the Contrast Imaging Problem in Nuclear Magnetic Resonance	2012	Bernard Bonnard Olivier Cots Steffen J. Glaser M. Lapert D. Sugny Yun Zhang
+ PDF Chat	The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry	2011	Bernard Bonnard G. Charlot Roberta Ghezzi Gabriel Janin
+	Energy minimization in two-level dissipative quantum control: Th e integrable case	2011	Jean‐Baptiste Caillau Bernard Bonnard Olivier Cots
+ PDF Chat	Convexity of injectivity domains on the ellipsoid of revolution: The oblate case	2010	Bernard Bonnard Jean‐Baptiste Caillau Ludovic Rifford
+ PDF Chat	The energy minimization problem for two-level dissipative quantum systems	2010	Bernard Bonnard Olivier Cots Nataliya Shcherbakova Dominique Sugny
+ PDF Chat	The smooth continuation method in optimal control with an application to quantum systems	2010	Bernard Bonnard Nataliya Shcherbakova Dominique Sugny
+	Convexity of injectivity domains on the ellipsoid of revolution: The oblate case Convexité des domaines d'injectivité sur l'ellipsoïde de révolution : le cas oblate	2010	Bernard Bonnard L udovic Rifford
+ PDF Chat	Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Generic Case	2009	Bernard Bonnard M. Chyba D. Sugny
+ PDF Chat	Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Integrable Case	2009	Bernard Bonnard Dominique Sugny
+ PDF Chat	Note on singular Clairaut-Liouville metrics	2008	Bernard Bonnard Jean‐Baptiste Caillau
+ PDF Chat	Note on singular Clairaut-Liouville metrics	2008	Bernard Bonnard Jean‐Baptiste Caillau
+	Conjugate and cut loci of a two-sphere of revolution with application to optimal control	2008	Robert Sinclair Minoru Tanaka Bernard Bonnard Jean-Baptiste Caillau
+	Singular metrics on the two-sphere in space mechanics	2008	Bernard Bonnard Jean‐Baptiste Caillau
+	Time-minimal control of dissipative two-level quantum systems: The Integrable case	2008	Bernard Bonnard Dominique Sugny
+	Stratification du secteur anormal dans la sphère de Martinet de petit rayon	2007	Bernard Bonnard Emmanuel Trélat
+ PDF Chat	One-parameter family of Clairaut-Liouville metrics	2007	Bernard Bonnard Jean‐Baptiste Caillau Minoru Tanaka
+	Riemannian Metric of the Averaged Controlled Kepler Equation	2006	Bernard Bonnard Jean‐Baptiste Caillau
+	Invariants in the feedback classification of nonlinear systems	2006	Bernard Bonnard
+ PDF Chat	A global optimality result with application to orbital transfer	2006	Bernard Bonnard Jean‐Baptiste Caillau
+	On the role of abnormal minimizers in sub-Riemannian geometry	2006	Bernard Bonnard Emmanuel Trélat
+	Singular Trajectories and Their Role in Control Theory	2005	Bernard Bonnard Monique Chyba
+ PDF Chat	Cotcot: short reference manual	2005	Bernard Bonnard Jean‐Baptiste Caillau Emmanuel Trélat
+ PDF Chat	OPTIMAL CONTROL OF THE ATMOSPHERIC ARC OF A SPACE SHUTTLE AND NUMERICAL SIMULATIONS WITH MULTIPLE-SHOOTING METHOD	2004	Bernard Bonnard Ludovic Faubourg Emmanuel Trélat
+	Classification of Local Optimal Syntheses for Time Minimal Control Problem with State Constraints	2003	Bernard Bonnard Ludovic Faubourg Emmanuel Trélat
+ PDF Chat	Conjugate Times for Smooth Singular Trajectories and Bang-Bang Extremals	2003	Bernard Bonnard Ludovic Faubourg Emmanuel Trélat
+	Generic properties of singular extremals	2003	Bernard Bonnard
+	None	2003	Bernard Bonnard Ludovic Faubourg Guillaume Launay Emmanuel Trélat
+	Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications	2002	A. Anzaldo‐Meneses F. Monroy‐Pérez Bernard Bonnard Jean-Yves Gauthier
+ PDF Chat	The transcendence needed to compute the sphere and wave front in Martinet sub-Riemannian geometry	2001	Bernard Bonnard Geneviève Launay Emmanuel Trélat
+ PDF Chat	On the role of abnormal minimizers in sub-riemannian geometry	2001	Bernard Bonnard Emmanuel Trélat
+ PDF Chat	Méthodes géométriques et analytiques pour étudier l'application exponentielle, la sphère et le front d'onde en géométrie sous-riemannienne dans le cas Martinet	1999	Bernard Bonnard Monique Chyba
+ PDF Chat	The transcendence required for computing the sphere and wave front in the Martinet sub-Riemannian geometry	1999	Bernard Bonnard Geneviève Launay Emmanuel Trélat
+	Sub-Riemannian geometry: one-parameter deformation of the Martinet flat case	1998	Bernard Bonnard Monique Chyba Emmanuel Trélat
+	Sub-Riemannian geometry : the Martinet case	1998	Bernard Bonnard Monique Chyba
+	Nonintegrable geodesics in SR-Martinet geometry	1998	Bernard Bonnard Monique Chyba Ivan Kupka
+	None	1998	Bernard Bonnard Monique Chyba Emmanuel Trélat
+ PDF Chat	Generic properties of singular trajectories	1997	Bernard Bonnard Ivan Kupka
+ PDF Chat	Sub-Riemannian sphere in Martinet flat case	1997	Andrei Agrachev Bernard Bonnard Monique Chyba Ivan Kupka
+ PDF Chat	Time minimal synthesis with target of codimension one under generic conditions	1995	Bernard Bonnard Michèle Pelletier
+	Geometric Time Optimal Control in Batch Reactors	1991	Bernard Bonnard Jean-Yves Gauthier J. de Morant
+	Le Role des Trajectoires Singulieres Pour la Commande des Systemes Non Lineaires	1986	Bernard Bonnard F. Celle Jean-Paul Gauthier
+	On Singular Extremals in the Time Minimal Control Problem in $\mathbb{R}^3 $	1985	Bernard Bonnard
+	Controlabilite de Systemes Mecaniques Sur Les Groupes de Lie	1984	Bernard Bonnard
+ PDF Chat	Transitivity of families of invariant vector fields on the semidirect products of Lie groups	1982	Bernard Bonnard Velimir Jurdjevic Ivan Kupka Gauthier Sallet
+	Contrôlabilité des Systèmes Bilinéaires	1981	Bernard Bonnard
+	Couples de générateurs de certaines sous-algèbres de Lie de l'algèbre de Lie symplectique affine, et applications	1978	Bernard Bonnard

Common Coauthors

Coauthor	Papers Together
Jérémy Rouot	19
Olivier Cots	18
Emmanuel Trélat	12
Monique Chyba	12
Jean‐Baptiste Caillau	11
Thibaut Verron	6
Boris Wembe	5
Nataliya Shcherbakova	5
Ivan Kupka	4
Ludovic Faubourg	4
Piernicola Bettiol	3
Toufik Bakir	3
Alain Jacquemard	3
Dominique Sugny	3
Pierre Martinon	3
Mathieu Claeys	3
Minoru Tanaka	2
Geneviève Launay	2
Mohab Safey El Din	2
Gabriel Janin	2
Jean-Yves Gauthier	2
Alice Nolot	2
Jean‐Charles Faugère	2
Sandrine Gayrard	2
Jean‐Baptiste Pomet	2
Steffen J. Glaser	1
G. Charlot	1
Robert Sinclair	1
Joseph Gergaud	1
M. Lapert	1
Michèle Pelletier	1
Andrei Agrachev	1
Ludovic Rifford	1
A. Anzaldo‐Meneses	1
F. Monroy‐Pérez	1
Yun Zhang	1
Jana Němcová	1
Jean-Paul Gauthier	1
L udovic Rifford	1
D. Sugny	1
Jean-Baptiste Caillau	1
M. Chyba	1
Dominique Sugny	1
Thierry Combot	1
Lionel Jassionnesse	1
Guillaume Launay	1
Roberta Ghezzi	1
Velimir Jurdjevic	1
Gauthier Sallet	1
Helen C. Henninger	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Singular Trajectories and Their Role in Control Theory	2005	Bernard Bonnard Monique Chyba	20
+	Conjugate and cut loci of a two-sphere of revolution with application to optimal control	2008	Robert Sinclair Minoru Tanaka Bernard Bonnard Jean-Baptiste Caillau	16
+	A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds	2008	Andrei Agrachev Ugo Boscain Mario Sigalotti	11
+	Foundations of Optimal Control Theory.	1969	D. M. G. Wishart E. B. Lee Lawrence Markus	10
+ PDF Chat	Geometric Optimal Control of the Contrast Imaging Problem in Nuclear Magnetic Resonance	2012	Bernard Bonnard Olivier Cots Steffen J. Glaser M. Lapert D. Sugny Yun Zhang	10
+ PDF Chat	Sub-Riemannian sphere in Martinet flat case	1997	Andrei Agrachev Bernard Bonnard Monique Chyba Ivan Kupka	9
+ PDF Chat	Sub-Riemannian geometry and time optimal control of three spin systems: Quantum gates and coherence transfer	2002	Navin Khaneja Steffen J. Glaser Roger W. Brockett	8
+	The cut loci and the conjugate loci on ellipsoids	2004	Jin‐ichi Itoh Kazuyoshi Kiyohara	8
+ PDF Chat	Singular Extremals for the Time-Optimal Control of Dissipative Spin<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>Particles	2010	M. Lapert Y. Zhang M. Braun Steffen J. Glaser D. Sugny	8
+ PDF Chat	Differential continuation for regular optimal control problems	2011	Jean‐Baptiste Caillau Olivier Cots Joseph Gergaud	7
+ PDF Chat	Geometric theory of extremals in optimal control problems. I. The fold and Maxwell case	1987	Ivan Kupka	7
+ PDF Chat	GloptiPoly 3: moments, optimization and semidefinite programming	2009	Didier Henrion Jean B. Lasserre Johan Löfberg	6
+	The Geometry of Total Curvature on Complete Open Surfaces	2003	Katsuhiro Shiohama Takashi Shioya Minoru Tanaka	6
+ PDF Chat	The cut locus of a two-sphere of revolution and Toponogov's comparison theorem	2007	Robert Sinclair Minoru Tanaka	6
+ PDF Chat	Sur les lignes géodésiques des surfaces convexes	1905	Henri Poincaré	6
+ PDF Chat	Sur Les Lignes Geodesiques Des Surfaces Convexes	1905	Henri Poincaré	6
+	The Local Structure of Time-Optimal Trajectories in Dimension Three under Generic Conditions	1988	Heinz Schättler	6
+ PDF Chat	Zermelo navigation on Riemannian manifolds	2004	David Bao Colleen Robles Zhongmin Shen	6
+ PDF Chat	Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Generic Case	2009	Bernard Bonnard M. Chyba D. Sugny	5
+	Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations	2008	Jean B. Lasserre Didier Henrion Christophe Prieur Emmanuel Trélat	5
+ PDF Chat	Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy	2005	Ugo Boscain Thomas Chambrion G. Charlot	5
+	Control Theory from the Geometric Viewpoint	2004	Andrei Agrachev Yuri L. Sachkov	5
+	Introduction to Nonlinear Differential and Integral Equations.	1964	P. E. Bedient Harold T. Davis	5
+ PDF Chat	Time-optimal control of a two-level dissipative quantum system	2007	Dominique Sugny Cyrill Kontz H. R. Jauslin	5
+	Regular Synthesis for Time-Optimal Control of Single-Input Real Analytic Systems in the Plane	1987	H.J. Sussmann	5
+ PDF Chat	GEOMETRIC NUMERICAL METHODS AND RESULTS IN THE CONTRAST IMAGING PROBLEM IN NUCLEAR MAGNETIC RESONANCE	2013	Bernard Bonnard Olivier Cots	4
+ PDF Chat	The energy minimization problem for two-level dissipative quantum systems	2010	Bernard Bonnard Olivier Cots Nataliya Shcherbakova Dominique Sugny	4
+ PDF Chat	Nearly Round Spheres Look Convex	2012	Alessio Figalli Ludovic Rifford Cédric Villani	4
+ PDF Chat	Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Integrable Case	2009	Bernard Bonnard Dominique Sugny	4
+	Strong minimality of abnormal geodesics for 2-distributions	1995	Andrei Agrachev Andrey Sarychev	4
+ PDF Chat	Some properties of the value function and its level sets for affine control systems with quadratic cost	2000	Emmanuel Trélat	4
+	The tangent space in sub-Riemannian geometry	1996	A. Bellaïche	4
+	Numerical solution of singular control problems using multiple shooting techniques	1976	H. Maurer	4
+ PDF Chat	Elliptic functions and efficient control of Ising spin chains with unequal couplings	2008	Haidong Yuan Robert Zeier Navin Khaneja	4
+ PDF Chat	Geodesics and deformed spheres	1987	Abbas M. Faridi E. L. Schücking	4
+	The Structure of Small-Time Reachable Sets in Low Dimensions	1989	Arthur J. Krener Heinz Schättler	4
+	The generic local structure of time-optimal synthesis with a target of codimension one in dimension greater than two	1997	Guillaume Launay Michèle Pelletier	4
+ PDF Chat	Time optimal control in spin systems	2001	Navin Khaneja Roger W. Brockett Steffen J. Glaser	4
+ PDF Chat	Géodésiques des surfaces de révolution	1991	Gérard Besson	4
+ PDF Chat	Geometric and Numerical Methods in the Contrast Imaging Problem in Nuclear Magnetic Resonance	2014	Bernard Bonnard Mathieu Claeys Olivier Cots Pierre Martinon	4
+	Sufficient Conditions for a Strong Minimum in Singular Control Problems	1973	H. GARDNER MOYER	4
+	Moments, Positive Polynomials and Their Applications	2009	Jean B. Lasserre	3
+ PDF Chat	Riemannian metrics on 2D-manifolds related to the Euler−Poinsot rigid body motion	2014	Bernard Bonnard Olivier Cots Jean‐Baptiste Pomet Nataliya Shcherbakova	3
+ PDF Chat	On the generators of quantum dynamical semigroups	1976	Göran Lindblad	3
+	Integrable Geodesic Flows on Two-dimensional Surfaces	2004	A. V. Bolsinov Анатолий Тимофеевич Фоменко	3
+ PDF Chat	Controllability properties for finite dimensional quantum Markovian master equations	2003	Claudio Altafini	3
+	On Optimal Control Problems with Bounded State Variables and Control Appearing Linearly	1977	H. Maurer	3
+	The Elementary Theory of Restricted Analytic Fields with Exponentiation	1994	Lou van den Dries Angus Macintyre David Marker	3
+	Singularities of smooth functions and maps	1982	Jean Martinet	3
+	Shortest paths for sub-Riemannian metrics on rank-two distributions	1996	Wensheng Liu Héctor J. Sussman	3