B. Bonnard

发表

Second order optimality conditions with applications

Emmanuel Trélat, Jean-Baptiste Caillau, Bernard Bonnard, 2007 .

Time Versus Energy in the Averaged Optimal Coplanar Kepler Transfer Towards Circular Orbits

Jean-Baptiste Pomet, Bernard Bonnard, Helen C. Henninger, 2015 .

Singular trajectories in optimal control

M. Chyba, B. Bonnard, 2015 .

Singular Trajectories and Their Role in Control Theory

M. Chyba, B. Bonnard, 2003, IEEE Transactions on Automatic Control.

Metrics with equatorial singularities on the sphere

Jean-Baptiste Caillau, B. Bonnard, 2014 .

One-parameter family of Clairaut-Liouville metrics

Jean-Baptiste Caillau, B. Bonnard, Minoru Tanaka, 2007 .

Conjugate and cut loci of a two-sphere of revolution with application to optimal control

Jean-Baptiste Caillau, B. Bonnard, Minoru Tanaka, 2009 .

The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry

B. Bonnard, G. Charlot, R. Ghezzi, 2010, 1009.2612.

Second order optimality conditions in the smooth case and applications in optimal control

Jean-Baptiste Caillau, E. Trélat, B. Bonnard, 2007 .

Sub-Riemannian geometry and swimming at low Reynolds number: the Copepod case

B. Bonnard, P. Bettiol, Alice Nolot, 2017, ESAIM: Control, Optimisation and Calculus of Variations.

Sub-Riemannian geometry, Hamiltonian dynamics, micro-swimmers, copepod nauplii and copepod robot

M. Chyba, B. Bonnard, D. Takagi, 2018, Pacific Journal of Mathematics for Industry.

The Purcell Three-link swimmer: some geometric and numerical aspects related to periodic optimal controls

B. Bonnard, P. Bettiol, P. Martinon, 2017 .

The three links Purcell swimmer and some geometric problems related to periodic optimal controls

B. Bonnard, P. Bettiol, P. Martinon, 2015 .

Transitivity of families of invariant vector fields on the semidirect products of Lie groups

Bernard Bonnard, Gauthier Sallet, V. Jurdjevic, 1982 .

Towards Geometric Time Minimal Control without Legendre Condition and with Multiple Singular Extremals for Chemical Networks

B. Bonnard, J. Rouot, 2020, 2001.04126.

Classification générique de synthèses temps minimales avec cible de codimension un et applications

Bernard Bonnard, B. Bonnard, G. Launay, 1997 .

Introduction to nonlinear optimal control

Bernard Bonnard, Jean-Baptiste Caillau, Jean-Baptiste Caillau, 2006 .

A combination of algebraic, geometric and numerical methods in the contrast problem by saturation in magnetic resonance imaging

B. Bonnard, Mathieu Claeys, A. Jacquemard, 2014 .

Smooth Approximations of Single‐Input Optimal Orbital Transfer using Continuation and Averaging Techniques

Jean-Baptiste Caillau, B. Bonnard, R. Dujol, 2013 .

GEOMETRIC OPTIMAL CONTROL OF THE ATMOSPHERIC ARC FOR A SPACE SHUTTLE

G. Launay, E. Busvelle, B. Bonnard, 2002 .

Conjugate-cut loci and injectivity domains on two-spheres of revolution

Bernard Bonnard, Jean-Baptiste Caillau, Gabriel Janin, 2013 .

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

Jean-Baptiste Caillau, B. Bonnard, O. Cots, 2011 .

Connection between singular arcs in optimal control using bridges. Physical occurence and Mathematical model

Toufik Bakir, Bernard Bonnard, Jérémy Rouot, 2019, 2019 IEEE 58th Conference on Decision and Control (CDC).

Working Notes on the Time Minimal Saturation of a Pair of Spins and Application in Magnetic Resonance Imaging

B. Bonnard, J. Rouot, O. Cots, 2018 .

Integrability methods in the time minimal coherence transfer for Ising chains of three spins

B. Bonnard, Thierry Combot, Lionel Jassionnesse, 2015 .

Geometric optimal control and two-level dissipative quantum systems

B. Bonnard, D. Sugny, 2009 .

Geometric optimal techniques to control the muscular force response to functional electrical stimulation using a non-isometric force-fatigue model

B. Bonnard, J. Rouot, 2021, Journal of Geometric Mechanics.

No . 4 A Geometric optimal control and two-level dissipative quantum systems ∗ by

B. Bonnard, D. Sugny, 2010 .

SUB-RIEMANNIAN GEOMETRY AND SWIMMING AT LOW

B. Bonnard, P. Bettiol, J. Rouot, 2019 .

Time Minimal Synthesis for Planar Systems inthe

B. Bonnard, M. Pelletier, 2022 .

Pontryagin-Type Conditions for Optimal Muscular Force Response to Functional Electrical Stimulations

B. Bonnard, L. Bourdin, J. Rouot, 2019, Journal of Optimization Theory and Applications.

Conjugate and cut loci in averaged orbital transfer

Jean-Baptiste Caillau, B. Bonnard, 2006 .

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

Jean-Baptiste Pomet, Bernard Bonnard, Olivier Cots, 2014 .

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

Bernard Bonnard, Olivier Cots, Nataliya Shcherbakova, 2013, 52nd IEEE Conference on Decision and Control.

Energy Minimization Problem in Two-Level Dissipative Quantum Control: Meridian Case

B. Bonnard, O. Cots, N. Shcherbakova, 2013, Journal of Mathematical Sciences.

Energy Minimization Problem in Two-Level Dissipative Quantum Control: Meridian Case

B. Bonnard, O. Cots, N. Shcherbakova, 2013 .

The energy minimization problem for two-level dissipative quantum systems

Bernard Bonnard, Olivier Cots, Nataliya Shcherbakova, 2010 .

On the role of abnormal minimizers in sub-riemannian geometry

Emmanuel Tr'elat, B. Bonnard, 2006, math/0607426.

Sub-Riemannian Geometry: One-Parameter Deformation of the Martinet Flat Case

Emmanuel Trélat, Monique Chyba, Bernard Bonnard, 1998 .

Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces

Bernard Bonnard, Olivier Cots, B. Bonnard, 2014 .

The Serret-Andoyer Riemannian metric and Euler-Poinsot rigid body motion

B. Bonnard, O. Cots, N. Shcherbakova, 2013 .

Metrics with equatorial singularities on the sphere

Jean-Baptiste Caillau, B. Bonnard, 2013, Annali di Matematica Pura ed Applicata (1923 -).

Geodesic flow of the averaged controlled Kepler equation

Bernard Bonnard, Jean-Baptiste Caillau, Jean-Baptiste Caillau, 2009 .

Geometric Orbital Transfer Using Averaging Techniques

Bernard Bonnard, G. Janin, B. Bonnard, 2008 .

Optimality results in orbit transfer

Jean-Baptiste Caillau, B. Bonnard, 2007 .

Time minimal synthesis with target of codimension one under generic conditions

B. Bonnard, M. Pelletier, 1995 .

Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust

Bernard Bonnard, Jean-Baptiste Caillau, Jean-Baptiste Caillau, 2007 .

Geometric optimal control of elliptic Keplerian orbits

Emmanuel Trélat, Bernard Bonnard, Jean-Baptiste Caillau, 2005 .

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, 2022, Syst. Control. Lett..

A Zermelo navigation problem with a vortex singularity

B. Bonnard, O. Cots, B. Wembe, 2019, ESAIM: Control, Optimisation and Calculus of Variations.

Abnormal Curves in a Zermelo Navigation Problem in the Plane and the Fan Shape of Small Time Balls

B. Bonnard, J. Gergaud, O. Cots, 2020 .

Lunar Perturbation of the Metric Associated to the Averaged Orbital Transfer

B. Bonnard, H. Henninger, J. Rouot, 2015 .

Analysis and Problems of Inverse type in Control and Signal processing

Jonathan R. Partington, Pierre Rouchon, Fahmi Ben Hassen, 2006 .

Nuclear magnetic resonance: The contrast imaging problem

John Marriott, Monique Chyba, Bernard Bonnard, 2011, IEEE Conference on Decision and Control and European Control Conference.

Optimal control with applications in space and quantum dynamics

Bernard Bonnard, Dominique Sugny, B. Bonnard, 2012 .

A Review of Geometric Optimal Control for Quantum Systems in Nuclear Magnetic Resonance

Bernard Bonnard, Dominique Sugny, Steffen J. Glaser, 2012 .

Optimal control of an ensemble of Bloch equations with applications in MRI

Bernard Bonnard, Jérémy Rouot, Alain Jacquemard, 2016, 2016 IEEE 55th Conference on Decision and Control (CDC).

THE SMOOTH CONTINUATION METHOD IN OPTIMAL CONTROL WITH AN APPLICATION TO QUANTUM SYSTEMS

Bernard Bonnard, Nataliya Shcherbakova, Dominique Sugny, 2011 .

Geometric Optimal Control with Applications Accelerated

M. Chyba, B. Bonnard, 2015 .

Geometric Optimal Control with Applications

Monique Chyba, Bernard Bonnard, M. Chyba, 2015 .

Geometric and Numerical Optimal Control: Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging

Monique Chyba, Jérémy Rouot, Bernard Bonnard, 2018 .

Optimal control theory and the efficiency of the swimming mechanism of the Copepod Zooplankton

B. Bonnard, P. Bettiol, J. Rouot, 2017 .

A numerical approach to the optimal control and efficiency of the copepod swimmer

Monique Chyba, Bernard Bonnard, Daisuke Takagi, 2016, 2016 IEEE 55th Conference on Decision and Control (CDC).

A note about the geometric optimal control of the copepod swimmer

M. Chyba, B. Bonnard, D. Takagi, 2015 .

Optimal Control with State Constraints and the Space Shuttle Re-entry Problem

Emmanuel Trélat, Bernard Bonnard, Geneviève Launay, 2003 .

Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Generic Case

Monique Chyba, Bernard Bonnard, Dominique Sugny, 2008, IEEE Transactions on Automatic Control.

Working Examples In Geometric Optimal Control

Monique Chyba, Jérémy Rouot, Bernard Bonnard, 2017 .

Geometric and Numerical Methods in the Contrast Imaging Problem in Nuclear Magnetic Resonance

Mathieu Claeys, Bernard Bonnard, Olivier Cots, 2015 .

Geometric and Numerical Methods in the Contrast Imaging Problem in Nuclear Magnetic Resonance

B. Bonnard, Mathieu Claeys, P. Martinon, 2014, Acta Applicandae Mathematicae.

Comparison of numerical methods in the contrast imaging problem in NMR

Mathieu Claeys, Bernard Bonnard, Olivier Cots, 2013, 52nd IEEE Conference on Decision and Control.

Algebraic geometric classification of the singular flow in the contrast imaging problem in nuclear magnetic resonance

John Marriott, Monique Chyba, Bernard Bonnard, 2013 .

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

Yun Zhang, Bernard Bonnard, Olivier Cots, 2012, IEEE Transactions on Automatic Control.

Time minimal saturation of a pair of spins and application in Magnetic Resonance Imaging

Bernard Bonnard, Olivier Cots, Jérémy Rouot, 2020, Mathematical Control & Related Fields.

Two Applications of Geometric Optimal Control to the Dynamics of Spin Particles

Monique Chyba, Bernard Bonnard, M. Chyba, 2014 .

Sub-riemannian sphere in Martinet flat case

Andrei A. Agrachev, Monique Chyba, Bernard Bonnard, 1997 .

Determinantal Sets, Singularities and Application to Optimal Control in Medical Imagery

Jean-Charles Faugère, Mohab Safey El Din, Bernard Bonnard, 2016, ISSAC.

Generic properties of singular trajectories

Bernard Bonnard, I. Kupka, B. Bonnard, 1997 .

Toward a Geometric Theory in the Time-Minimal Control of Chemical Batch Reactors

B. Bonnard, B. Bonnard, J. Morant, 1995 .

On Singular Extremals in the Time Minimal Control Problem in $\mathbb{R}^3 $

Bernard Bonnard, B. Bonnard, 1985 .

Analysis of Controlled Dynamical Systems

Jean-Paul Gauthier, Bernard Bonnard, Ivan Kupka, 1991 .

Geometric optimal control techniques to optimize the production of chemical reactors using temperature control

Jérémy Rouot, T Bakir, Bernard Bonnard, 2019, Annu. Rev. Control..

Time minimal control of batch reactors

B. Bonnard, G. Launay, G. Launay, 1998 .