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Author ID: bonnard.bernard Recent zbMATH articles by "Bonnard, Bernard"
Published as: Bonnard, Bernard; Bonnard, B.; Bonnard, Bernhard; Bonnard, Benard
Documents Indexed: 98 Publications since 1978, including 4 Books
4 Contributions as Editor
Biographic References: 2 Publications
Co-Authors: 55 Co-Authors with 87 Joint Publications
890 Co-Co-Authors
all top 5

Serials

10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 SIAM Journal on Control and Optimization
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Journal of Dynamical and Control Systems
3 Acta Applicandae Mathematicae
3 Discrete and Continuous Dynamical Systems
3 Mathematical Control and Related Fields
2 IEEE Transactions on Automatic Control
2 Systems & Control Letters
2 Forum Mathematicum
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Comptes Rendus de l’Académie des Sciences. Série I
2 RAIRO. Automatique-Productique, Informatique Industrielle
2 Journal of Mathematical Sciences (New York)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Mathématiques & Applications (Berlin)
1 Journal of Mathematical Physics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Control and Cybernetics
1 Journal of Optimization Theory and Applications
1 Mathematical Systems Theory
1 RAIRO, Automatique, Systems Analysis and Control
1 Transactions of the American Mathematical Society
1 MCSS. Mathematics of Control, Signals, and Systems
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Mathematical Systems, Estimation, and Control
1 Bulletin des Sciences Mathématiques
1 Discrete and Continuous Dynamical Systems. Series B
1 Communications in Information and Systems
1 Pacific Journal of Optimization
1 Publications du Département de Mathématiques
1 Networks and Heterogeneous Media
1 Advances in Mathematical Physics
1 Journal of Geometric Mechanics
1 Pacific Journal of Mathematics for Industry
1 Mathematics for Industry
1 AIMS Series on Applied Mathematics
1 SpringerBriefs in Mathematics

Publications by Year

Citations contained in zbMATH Open

77 Publications have been cited 574 times in 310 Documents Cited by Year
Singular trajectories and their role in control theory. Zbl 1022.93003
Bonnard, Bernard; Chyba, Monique
112
2003
Second order optimality conditions in the smooth case and applications in optimal control. Zbl 1123.49014
Bonnard, Bernard; Caillau, Jean-Baptiste; Trélat, Emmanuel
36
2007
Sub-Riemannian sphere in Martinet flat case. Zbl 0902.53033
Agrachev, A.; Bonnard, B.; Chyba, M.; Kupka, I.
34
1997
Theory of singularities of the input/output function and optimality of singular trajectories in problems of minimal time. (Théorie des singularités de l’application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal.) Zbl 0779.49025
Bonnard, Bernard; Kupka, Ivan
22
1993
Optimal control with state constraints and the space shuttle re-entry problem. Zbl 1034.49014
Bonnard, B.; Faubourg, L.; Launay, G.; Trélat, E.
19
2003
Transitivity of families of invariant vector fields on the semidirect products of Lie groups. Zbl 0519.49023
Bonnard, B.; Jurdjevic, V.; Kupka, I.; Sallet, G.
16
1982
Conjugate and cut loci of a two-sphere of revolution with application to optimal control. Zbl 1184.53036
Bonnard, Bernard; Caillau, Jean-Baptiste; Sinclair, Robert; Tanaka, Minoru
16
2009
Feedback equivalence for nonlinear systems and the time optimal control problem. Zbl 0744.93033
Bonnard, B.
15
1991
Generic properties of singular trajectories. Zbl 0907.93020
Bonnard, B.; Kupka, I.
15
1997
Celestial mechanics and control of space vehicles. (Mécanique céleste et contrôle des véhicules spatiaux.) Zbl 1104.70001
Bonnard, Bernard; Faubourg, Ludovic; Trélat, Emmanuel
14
2006
On the role of abnormal minimizers in sub-Riemannian geometry. Zbl 1017.53034
Bonnard, B.; Trélat, E.
13
2001
Time-minimal control of dissipative two-level quantum systems: the generic case. Zbl 1367.81072
Bonnard, Bernard; Chyba, Monique; Sugny, Dominique
13
2009
Geometric optimal control of elliptic Keplerian orbits. Zbl 1082.70014
Bonnard, B.; Caillau, J.-B.; Trélat, E.
12
2005
Contrôlabilité des systèmes non linéaires. Zbl 0498.93009
Bonnard, Bernard
11
1981
Time-minimal control of dissipative two-level quantum systems: the integrable case. Zbl 1288.81052
Bonnard, Bernard; Sugny, Dominique
11
2009
The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry. Zbl 1209.53014
Bonnard, B.; Charlot, G.; Ghezzi, R.; Janin, G.
9
2011
Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust. Zbl 1127.49017
Bonnard, Bernard; Caillau, Jean-Baptiste
8
2007
Optimal control with applications in space and quantum dynamics. Zbl 1266.49002
Bonnard, Bernard; Sugny, Dominique
8
2012
Optimal control of the atmospheric arc of a space shuttle and numerical simulations with multiple-shooting method. Zbl 1064.49030
Bonnard, B.; Faubourg, L.; Trelat, E.
8
2005
On singular extremals in the time minimal control problem in \({\mathbb{R}}^ 3\). Zbl 0602.49027
Bonnard, Bernard
8
1985
Quadratic control systems. Zbl 0724.93040
Bonnard, B.
7
1991
Geodesic flow of the averaged controlled Kepler equation. Zbl 1171.49030
Bonnard, Bernard; Caillau, Jean-Baptiste
7
2009
A geometric approach for optimal control of the atmospheric arc of a space shuttle. (Une approche géométrique du contrôle optimal de l’arc atmosphérique de la navette spatiale.) Zbl 1054.49027
Bonnard, Bernard; Trélat, Emmanuel
7
2002
Geometric optimal control of the contrast imaging problem in nuclear magnetic resonance. Zbl 1369.49028
Bonnard, Bernard; Cots, Olivier; Glaser, Steffen J.; Lapert, Marc; Sugny, Dominique; Zhang, Yun
7
2012
Energy minimization of single input orbit transfer by averaging and continuation. Zbl 1136.93046
Bonnard, Bernard; Caillau, Jean-Baptiste; Dujol, Romain
6
2006
Toward a geometric theory in the time-minimal control of chemical batch reactors. Zbl 0882.49024
Bonnard, B.; de Morant, J.
6
1995
Geometric numerical methods and results in the contrast imaging problem in nuclear magnetic resonance. Zbl 1281.49025
Bonnard, B.; Cots, O.
6
2014
Singular trajectories and the contrast imaging problem in nuclear magnetic resonance. Zbl 1268.49022
Bonnard, Bernard; Chyba, Monique; Marriott, John
6
2013
Exponential mapping, spheres and waves front in SR-geometry : The Martinet case. (Méthodes géométriques et analytiques pour étudier l’application exponentielle, la sphère et le front d’onde en géométrie sous-riemannienne dans le cas Martinet.) Zbl 0929.53016
Bonnard, Bernhard; Chyba, Monique
5
1999
Time minimal synthesis for planar systems in the neighborhood of a terminal manifold of codimension one. Zbl 0852.49014
Bonnard, B.; Pelletier, M.
5
1995
Contrôlabilité des systèmes bilinéaires. Zbl 0502.93010
Bonnard, Bernard
5
1981
Contrôlabilité de systèmes mécaniques sur les groupes de Lie. Zbl 0549.93009
Bonnard, Bernard
5
1984
The energy minimization problem for two-level dissipative quantum systems. Zbl 1309.81118
Bonnard, B.; Cots, O.; Shcherbakova, N.; Sugny, D.
5
2010
Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance. Zbl 1311.49065
Bonnard, Bernard; Claeys, Mathieu; Cots, Olivier; Martinon, Pierre
5
2015
The smooth continuation method in optimal control with an application to quantum systems. Zbl 1213.49027
Bonnard, Bernard; Shcherbakova, Nataliya; Sugny, Dominique
5
2011
Optimality results in orbit transfer. Zbl 1122.49018
Bonnard, Bernard; Caillau, Jean-Baptiste
4
2007
Geometric and numerical techniques in optimal control of two and three-body problems. Zbl 1372.49040
Bonnard, B.; Caillau, J.-B.; Picot, G.
4
2010
Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces. Zbl 1296.53082
Bonnard, Bernard; Cots, Olivier; Jassionnesse, Lionel
4
2014
Averaging and optimal control of elliptic keplerian orbits with low propulsion. Zbl 1100.93030
Bonnard, Bernard; Caillau, Jean-Baptiste; Dujol, Romain
4
2006
Pontryagin-type conditions for optimal muscular force response to functional electrical stimulations. Zbl 1433.49025
Bakir, Toufik; Bonnard, Bernard; Bourdin, Loïc; Rouot, Jérémy
4
2020
Sub-Riemannian geometry, one-parameter deformation of the Martinet flat case. Zbl 0980.53043
Bonnard, B.; Chyba, M.; Trelat, E.
3
1998
Riemannian metrics on 2D-manifolds related to the Euler-Poinsot rigid body motion. Zbl 1293.49040
Bonnard, Bernard; Cots, Olivier; Pomet, Jean-Baptiste; Shcherbakova, Nataliya
3
2014
Energy minimization in two-level dissipative quantum control: the integrable case. Zbl 1306.81050
Bonnard, Bernard; Caillau, Jean-Baptiste; Cots, Olivier
3
2011
Metrics with equatorial singularities on the sphere. Zbl 1305.53040
Bonnard, B.; Caillau, J.-B.
3
2014
Introduction to nonlinear optimal control. Zbl 1217.49003
Bonnard, Bernard; Caillau, Jean-Baptiste
3
2006
Generic classification of time minimal synthesis in the neighborhood of a target of codimension one and applications. (Classification générique de synthèses temps minimales avec cible de codimension un et applications.) Zbl 0891.49012
Bonnard, B.; Launay, G.; Pelletier, M.
3
1997
A review of geometric optimal control for quantum systems in nuclear magnetic resonance. Zbl 1238.81181
Bonnard, Bernard; Glaser, Steffen J.; Sugny, Dominique
3
2012
Algebraic geometric classification of the singular flow in the contrast imaging problem in nuclear magnetic resonance. Zbl 1273.94128
Bonnard, Bernard; Chyba, Monique; Jacquemard, Alain; Marriott, John
3
2013
Determinantal sets, singularities and application to optimal control in medical imagery. Zbl 1362.13031
Bonnard, Bernard; Faugère, Jean-Charles; Jacquemard, Alain; Safey El Din, Mohab; Verron, Thibaut
3
2016
Non integrable geodesics in SR-Martinet geometry. Zbl 0963.53015
Bonnard, Benard; Chyba, Monique; Kupka, Ivan
2
1999
Time minimal control of batch reactors. Zbl 0914.93043
Bonnard, B.; Launay, G.
2
1998
Sub-Riemannian geometry: the Martinet case. Zbl 0967.53020
Bonnard, B.; Chyba, M.
2
1998
Contrôle de l’attitude d’un satellite rigide. Zbl 0483.93022
Bonnard, B.
2
1982
The Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controls. Zbl 1406.49034
Bettiol, Piernicola; Bonnard, Bernard; Giraldi, Laetitia; Martinon, Pierre; Rouot, Jérémy
2
2017
Geometric time optimal control in batch reactors. Zbl 0800.49025
Bonnard, B.; Gauthier, J. P.; de Morant, J.
2
1991
Geometric optimal control and two-level dissipative quantum systems. Zbl 1236.49047
Bonnard, B.; Sugny, D.
2
2009
The Serret-Andoyer Riemannian metric and Euler-Poinsot rigid body motion. Zbl 1276.53059
Bonnard, Bernard; Cots, Olivier; Shcherbakova, Nataliya
2
2013
Systemes de champs de vecteurs transitifs sur les groupes de Lie semi- simples et leurs espaces homogenes. Zbl 0458.93009
Bonnard, B.; Jurdjevic, V.; Kupka, I.; Sallet, G.
2
1980
Second order optimality conditions with applications. Zbl 1163.49307
Bonnard, B.; Caillau, J.-B.; Trelat, E.
2
2007
A case study of optimal input-output system with sampled-data control: Ding et al. force and fatigue muscular control model. Zbl 1426.49021
Bakir, Toufik; Bonnard, Bernard; Rouot, Jérémy
2
2019
Optimal strokes at low Reynolds number: a geometric and numerical study of copepod and purcell swimmers. Zbl 1391.49032
Bettiol, P.; Bonnard, B.; Rouot, J.
2
2018
Singular trajectories, feedback equivalence and the time optimal control problem. Zbl 0965.93060
Bonnard, B.
1
1998
On singular extremals in the time minimal control problem. Zbl 0673.49019
Bonnard, B.
1
1988
Minimal realization and classification of quadratic control systems. Zbl 0673.93010
Bonnard, B.
1
1988
Two generic properties for singular trajectories. (Deux propriétés génériques des trajectoires singulières.) Zbl 0816.58013
Bonnard, Bernard; Kupka, Ivan
1
1994
Stratification of the abnormal sector in a Martinet sphere of small radius. (Stratification du secteur anormal dans la sphère de Martinet de petit rayon.) Zbl 1239.53042
Bonnard, Bernard; Trélat, Emmanuel
1
2001
Time minimal synthesis with target of codimension one under generic conditions. Zbl 0971.49009
Bonnard, B.; Pelletier, M.
1
1995
The transcendence needed to compute the sphere and the wave front in Martinet \(SR\)-geometry. Zbl 0988.35008
Bonnard, B.; Launay, G.; Trélat, E.
1
2001
The transcendence necessary for computing the sphere and wave front in Martinet sub-Riemannian geometry. Zbl 0999.58007
Bonnard, B.; Lonay, G.; Trelat, E.
1
1999
Conjugate-cut loci and injectivity domains on two-spheres of revolution. Zbl 1267.53042
Bonnard, Bernard; Caillau, Jean-Baptiste; Janin, Gabriel
1
2013
Couples de générateurs de certaines sous-algèbres de Lie de l’algèbre de Lie symplectique affine, et applications. Zbl 0434.93013
Bonnard, Bernard
1
1978
Integrability methods in the time minimal coherence transfer for Ising chains of three spins. Zbl 1344.49033
Bonnard, Bernard; Combot, Thierry; Jassionnesse, Lionel
1
2015
Two applications of geometric optimal control to the dynamics of spin particles. Zbl 1332.82065
Bonnard, Bernard; Chyba, Monique
1
2014
Recent advances in celestial and space mechanics. Zbl 1343.70005
1
2016
Convexity of injectivity domains on the ellipsoid of revolution: the oblate case. Zbl 1225.53006
Bonnard, Bernard; Caillau, Jean-Baptiste; Rifford, Ludovic
1
2010
Geometric orbital transfer using averaging techniques. Zbl 1203.70032
Bonnard, B.; Janin, G.
1
2008
A Zermelo navigation problem with a vortex singularity. Zbl 1467.49013
Bonnard, Bernard; Cots, Olivier; Wembe, Boris
1
2021
A Zermelo navigation problem with a vortex singularity. Zbl 1467.49013
Bonnard, Bernard; Cots, Olivier; Wembe, Boris
1
2021
Pontryagin-type conditions for optimal muscular force response to functional electrical stimulations. Zbl 1433.49025
Bakir, Toufik; Bonnard, Bernard; Bourdin, Loïc; Rouot, Jérémy
4
2020
A case study of optimal input-output system with sampled-data control: Ding et al. force and fatigue muscular control model. Zbl 1426.49021
Bakir, Toufik; Bonnard, Bernard; Rouot, Jérémy
2
2019
Optimal strokes at low Reynolds number: a geometric and numerical study of copepod and purcell swimmers. Zbl 1391.49032
Bettiol, P.; Bonnard, B.; Rouot, J.
2
2018
The Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controls. Zbl 1406.49034
Bettiol, Piernicola; Bonnard, Bernard; Giraldi, Laetitia; Martinon, Pierre; Rouot, Jérémy
2
2017
Determinantal sets, singularities and application to optimal control in medical imagery. Zbl 1362.13031
Bonnard, Bernard; Faugère, Jean-Charles; Jacquemard, Alain; Safey El Din, Mohab; Verron, Thibaut
3
2016
Recent advances in celestial and space mechanics. Zbl 1343.70005
1
2016
Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance. Zbl 1311.49065
Bonnard, Bernard; Claeys, Mathieu; Cots, Olivier; Martinon, Pierre
5
2015
Integrability methods in the time minimal coherence transfer for Ising chains of three spins. Zbl 1344.49033
Bonnard, Bernard; Combot, Thierry; Jassionnesse, Lionel
1
2015
Geometric numerical methods and results in the contrast imaging problem in nuclear magnetic resonance. Zbl 1281.49025
Bonnard, B.; Cots, O.
6
2014
Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces. Zbl 1296.53082
Bonnard, Bernard; Cots, Olivier; Jassionnesse, Lionel
4
2014
Riemannian metrics on 2D-manifolds related to the Euler-Poinsot rigid body motion. Zbl 1293.49040
Bonnard, Bernard; Cots, Olivier; Pomet, Jean-Baptiste; Shcherbakova, Nataliya
3
2014
Metrics with equatorial singularities on the sphere. Zbl 1305.53040
Bonnard, B.; Caillau, J.-B.
3
2014
Two applications of geometric optimal control to the dynamics of spin particles. Zbl 1332.82065
Bonnard, Bernard; Chyba, Monique
1
2014
Singular trajectories and the contrast imaging problem in nuclear magnetic resonance. Zbl 1268.49022
Bonnard, Bernard; Chyba, Monique; Marriott, John
6
2013
Algebraic geometric classification of the singular flow in the contrast imaging problem in nuclear magnetic resonance. Zbl 1273.94128
Bonnard, Bernard; Chyba, Monique; Jacquemard, Alain; Marriott, John
3
2013
The Serret-Andoyer Riemannian metric and Euler-Poinsot rigid body motion. Zbl 1276.53059
Bonnard, Bernard; Cots, Olivier; Shcherbakova, Nataliya
2
2013
Conjugate-cut loci and injectivity domains on two-spheres of revolution. Zbl 1267.53042
Bonnard, Bernard; Caillau, Jean-Baptiste; Janin, Gabriel
1
2013
Optimal control with applications in space and quantum dynamics. Zbl 1266.49002
Bonnard, Bernard; Sugny, Dominique
8
2012
Geometric optimal control of the contrast imaging problem in nuclear magnetic resonance. Zbl 1369.49028
Bonnard, Bernard; Cots, Olivier; Glaser, Steffen J.; Lapert, Marc; Sugny, Dominique; Zhang, Yun
7
2012
A review of geometric optimal control for quantum systems in nuclear magnetic resonance. Zbl 1238.81181
Bonnard, Bernard; Glaser, Steffen J.; Sugny, Dominique
3
2012
The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry. Zbl 1209.53014
Bonnard, B.; Charlot, G.; Ghezzi, R.; Janin, G.
9
2011
The smooth continuation method in optimal control with an application to quantum systems. Zbl 1213.49027
Bonnard, Bernard; Shcherbakova, Nataliya; Sugny, Dominique
5
2011
Energy minimization in two-level dissipative quantum control: the integrable case. Zbl 1306.81050
Bonnard, Bernard; Caillau, Jean-Baptiste; Cots, Olivier
3
2011
The energy minimization problem for two-level dissipative quantum systems. Zbl 1309.81118
Bonnard, B.; Cots, O.; Shcherbakova, N.; Sugny, D.
5
2010
Geometric and numerical techniques in optimal control of two and three-body problems. Zbl 1372.49040
Bonnard, B.; Caillau, J.-B.; Picot, G.
4
2010
Convexity of injectivity domains on the ellipsoid of revolution: the oblate case. Zbl 1225.53006
Bonnard, Bernard; Caillau, Jean-Baptiste; Rifford, Ludovic
1
2010
Conjugate and cut loci of a two-sphere of revolution with application to optimal control. Zbl 1184.53036
Bonnard, Bernard; Caillau, Jean-Baptiste; Sinclair, Robert; Tanaka, Minoru
16
2009
Time-minimal control of dissipative two-level quantum systems: the generic case. Zbl 1367.81072
Bonnard, Bernard; Chyba, Monique; Sugny, Dominique
13
2009
Time-minimal control of dissipative two-level quantum systems: the integrable case. Zbl 1288.81052
Bonnard, Bernard; Sugny, Dominique
11
2009
Geodesic flow of the averaged controlled Kepler equation. Zbl 1171.49030
Bonnard, Bernard; Caillau, Jean-Baptiste
7
2009
Geometric optimal control and two-level dissipative quantum systems. Zbl 1236.49047
Bonnard, B.; Sugny, D.
2
2009
Geometric orbital transfer using averaging techniques. Zbl 1203.70032
Bonnard, B.; Janin, G.
1
2008
Second order optimality conditions in the smooth case and applications in optimal control. Zbl 1123.49014
Bonnard, Bernard; Caillau, Jean-Baptiste; Trélat, Emmanuel
36
2007
Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust. Zbl 1127.49017
Bonnard, Bernard; Caillau, Jean-Baptiste
8
2007
Optimality results in orbit transfer. Zbl 1122.49018
Bonnard, Bernard; Caillau, Jean-Baptiste
4
2007
Second order optimality conditions with applications. Zbl 1163.49307
Bonnard, B.; Caillau, J.-B.; Trelat, E.
2
2007
Celestial mechanics and control of space vehicles. (Mécanique céleste et contrôle des véhicules spatiaux.) Zbl 1104.70001
Bonnard, Bernard; Faubourg, Ludovic; Trélat, Emmanuel
14
2006
Energy minimization of single input orbit transfer by averaging and continuation. Zbl 1136.93046
Bonnard, Bernard; Caillau, Jean-Baptiste; Dujol, Romain
6
2006
Averaging and optimal control of elliptic keplerian orbits with low propulsion. Zbl 1100.93030
Bonnard, Bernard; Caillau, Jean-Baptiste; Dujol, Romain
4
2006
Introduction to nonlinear optimal control. Zbl 1217.49003
Bonnard, Bernard; Caillau, Jean-Baptiste
3
2006
Geometric optimal control of elliptic Keplerian orbits. Zbl 1082.70014
Bonnard, B.; Caillau, J.-B.; Trélat, E.
12
2005
Optimal control of the atmospheric arc of a space shuttle and numerical simulations with multiple-shooting method. Zbl 1064.49030
Bonnard, B.; Faubourg, L.; Trelat, E.
8
2005
Singular trajectories and their role in control theory. Zbl 1022.93003
Bonnard, Bernard; Chyba, Monique
112
2003
Optimal control with state constraints and the space shuttle re-entry problem. Zbl 1034.49014
Bonnard, B.; Faubourg, L.; Launay, G.; Trélat, E.
19
2003
A geometric approach for optimal control of the atmospheric arc of a space shuttle. (Une approche géométrique du contrôle optimal de l’arc atmosphérique de la navette spatiale.) Zbl 1054.49027
Bonnard, Bernard; Trélat, Emmanuel
7
2002
On the role of abnormal minimizers in sub-Riemannian geometry. Zbl 1017.53034
Bonnard, B.; Trélat, E.
13
2001
Stratification of the abnormal sector in a Martinet sphere of small radius. (Stratification du secteur anormal dans la sphère de Martinet de petit rayon.) Zbl 1239.53042
Bonnard, Bernard; Trélat, Emmanuel
1
2001
The transcendence needed to compute the sphere and the wave front in Martinet \(SR\)-geometry. Zbl 0988.35008
Bonnard, B.; Launay, G.; Trélat, E.
1
2001
Exponential mapping, spheres and waves front in SR-geometry : The Martinet case. (Méthodes géométriques et analytiques pour étudier l’application exponentielle, la sphère et le front d’onde en géométrie sous-riemannienne dans le cas Martinet.) Zbl 0929.53016
Bonnard, Bernhard; Chyba, Monique
5
1999
Non integrable geodesics in SR-Martinet geometry. Zbl 0963.53015
Bonnard, Benard; Chyba, Monique; Kupka, Ivan
2
1999
The transcendence necessary for computing the sphere and wave front in Martinet sub-Riemannian geometry. Zbl 0999.58007
Bonnard, B.; Lonay, G.; Trelat, E.
1
1999
Sub-Riemannian geometry, one-parameter deformation of the Martinet flat case. Zbl 0980.53043
Bonnard, B.; Chyba, M.; Trelat, E.
3
1998
Time minimal control of batch reactors. Zbl 0914.93043
Bonnard, B.; Launay, G.
2
1998
Sub-Riemannian geometry: the Martinet case. Zbl 0967.53020
Bonnard, B.; Chyba, M.
2
1998
Singular trajectories, feedback equivalence and the time optimal control problem. Zbl 0965.93060
Bonnard, B.
1
1998
Sub-Riemannian sphere in Martinet flat case. Zbl 0902.53033
Agrachev, A.; Bonnard, B.; Chyba, M.; Kupka, I.
34
1997
Generic properties of singular trajectories. Zbl 0907.93020
Bonnard, B.; Kupka, I.
15
1997
Generic classification of time minimal synthesis in the neighborhood of a target of codimension one and applications. (Classification générique de synthèses temps minimales avec cible de codimension un et applications.) Zbl 0891.49012
Bonnard, B.; Launay, G.; Pelletier, M.
3
1997
Toward a geometric theory in the time-minimal control of chemical batch reactors. Zbl 0882.49024
Bonnard, B.; de Morant, J.
6
1995
Time minimal synthesis for planar systems in the neighborhood of a terminal manifold of codimension one. Zbl 0852.49014
Bonnard, B.; Pelletier, M.
5
1995
Time minimal synthesis with target of codimension one under generic conditions. Zbl 0971.49009
Bonnard, B.; Pelletier, M.
1
1995
Two generic properties for singular trajectories. (Deux propriétés génériques des trajectoires singulières.) Zbl 0816.58013
Bonnard, Bernard; Kupka, Ivan
1
1994
Theory of singularities of the input/output function and optimality of singular trajectories in problems of minimal time. (Théorie des singularités de l’application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal.) Zbl 0779.49025
Bonnard, Bernard; Kupka, Ivan
22
1993
Feedback equivalence for nonlinear systems and the time optimal control problem. Zbl 0744.93033
Bonnard, B.
15
1991
Quadratic control systems. Zbl 0724.93040
Bonnard, B.
7
1991
Geometric time optimal control in batch reactors. Zbl 0800.49025
Bonnard, B.; Gauthier, J. P.; de Morant, J.
2
1991
On singular extremals in the time minimal control problem. Zbl 0673.49019
Bonnard, B.
1
1988
Minimal realization and classification of quadratic control systems. Zbl 0673.93010
Bonnard, B.
1
1988
On singular extremals in the time minimal control problem in \({\mathbb{R}}^ 3\). Zbl 0602.49027
Bonnard, Bernard
8
1985
Contrôlabilité de systèmes mécaniques sur les groupes de Lie. Zbl 0549.93009
Bonnard, Bernard
5
1984
Transitivity of families of invariant vector fields on the semidirect products of Lie groups. Zbl 0519.49023
Bonnard, B.; Jurdjevic, V.; Kupka, I.; Sallet, G.
16
1982
Contrôle de l’attitude d’un satellite rigide. Zbl 0483.93022
Bonnard, B.
2
1982
Contrôlabilité des systèmes non linéaires. Zbl 0498.93009
Bonnard, Bernard
11
1981
Contrôlabilité des systèmes bilinéaires. Zbl 0502.93010
Bonnard, Bernard
5
1981
Systemes de champs de vecteurs transitifs sur les groupes de Lie semi- simples et leurs espaces homogenes. Zbl 0458.93009
Bonnard, B.; Jurdjevic, V.; Kupka, I.; Sallet, G.
2
1980
Couples de générateurs de certaines sous-algèbres de Lie de l’algèbre de Lie symplectique affine, et applications. Zbl 0434.93013
Bonnard, Bernard
1
1978
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Cited by 404 Authors

38 Bonnard, Bernard
30 Trélat, Emmanuel
23 Schättler, Heinz Michael
20 Ledzewicz, Urszula
16 Caillau, Jean-Baptiste
10 Agrachev, Andreĭ Aleksandrovich
10 Boscain, Ugo
10 Cots, Olivier
8 Sachkov, Yuriĭ Leonidovich
7 Bourdin, Loïc
7 Charlot, Grégoire
7 Chyba, Monique
7 Rouot, Jérémy
6 Sigalotti, Mario
5 Bayen, Térence
5 Bonnans, Joseph Frédéric
5 Sugny, Dominique
4 Beschastnyi, Ivan Yu.
4 Boarotto, Francesco
4 Gauthier, Jean-Paul A.
4 Grochowski, Marek
4 Hermant, Audrey
4 Jean, Frédéric
4 Martinon, Pierre
4 Maurer, Helmut
4 Respondek, Witold
3 Ardentov, Andrei A.
3 Barilari, Davide
3 Bettiol, Piernicola
3 Biggs, Rory
3 Calin, Ovidiu L.
3 Cerf, Max
3 Chitour, Yacine
3 Da Silva Fernandes, Sandro
3 Gergaud, Joseph
3 Ghezzi, Roberta
3 Glaser, Steffen J.
3 Hilgert, Joachim
3 Jacquemard, Alain
3 Jouan, Philippe
3 Kilin, Aleksandr Aleksandrovich
3 Kupka, Ivan A. K.
3 Launay, Geneviève
3 Le Donne, Enrico
3 Mairet, Francis
3 Patterson, Geoff
3 Petersen, Ian Richard
3 Pomet, Jean-Baptiste
3 Rapaport, Alain
3 Remsing, Claudiu-Cristian
3 Riedinger, Pierre
3 Rifford, Ludovic
3 Shcherbakova, Nataliya
3 Wang, Shuo
3 Zhang, Guofeng
3 Zhu, Jiamin
3 Zuazua, Enrique
2 Ali, Entisar Abdul-Latif
2 Aronna, María Soledad
2 Ayala, Victor
2 Barbero-Liñán, María
2 Belmonte-Beitia, Juan
2 Borisov, Alekseĭ Vladimirovich
2 Carvalho, Francisco Das Chagas
2 Chang, Der-Chen E.
2 Chaplais, François
2 Chen, Zheng
2 Claeys, Mathieu
2 Clason, Christian
2 Colombo, Leonardo Jesus
2 Colonius, Fritz
2 Combot, Thierry
2 Coron, Jean-Michel
2 Crouch, Peter E.
2 Cui, Qing
2 Deng, Li
2 Dhar, Gaurav
2 Dong, Daoyi
2 Dujol, Romain
2 Féjoz, Jacques
2 Gajardo, Pedro
2 Henninger, Helen Clare
2 Henrion, Didier
2 Ishikawa, Goo
2 Iung, Claude
2 Janin, Gabriel
2 Kitagawa, Yumiko
2 Kuang, Sen
2 Lapert, Marc
2 Li, Jr-Shin
2 Mamaev, Ivan Sergeevich
2 Margaliot, Michael
2 Mashtakov, Alexey P.
2 Mason, Paolo
2 Montanari, Annamaria
2 Moore, Helen
2 Morbidelli, Daniele
2 Muñoz-Lecanda, Miguel C.
2 Orieux, Michaël
2 Oudet, Edouard
...and 304 more Authors
all top 5

Cited in 109 Serials

23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
21 Journal of Dynamical and Control Systems
16 SIAM Journal on Control and Optimization
16 Systems & Control Letters
13 Journal of Optimization Theory and Applications
12 Automatica
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Journal of Mathematical Sciences (New York)
7 Acta Applicandae Mathematicae
7 MCSS. Mathematics of Control, Signals, and Systems
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Discrete and Continuous Dynamical Systems. Series B
5 Journal of the Franklin Institute
5 Journal of Differential Equations
5 Bulletin des Sciences Mathématiques
5 Mathematical Control and Related Fields
4 Journal of Mathematical Biology
4 Journal of Geometry and Physics
4 Optimal Control Applications & Methods
4 Discrete and Continuous Dynamical Systems
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 International Journal of Control
3 Journal of Mathematical Physics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Mathematical Programming. Series A. Series B
3 Celestial Mechanics and Dynamical Astronomy
3 Mathematical Biosciences and Engineering
3 Pacific Journal of Mathematics for Industry
2 Mathematical Biosciences
2 Nonlinearity
2 Rocky Mountain Journal of Mathematics
2 Mathematics and Computers in Simulation
2 Mathematical Systems Theory
2 Differential Geometry and its Applications
2 The Journal of Geometric Analysis
2 International Journal of Robust and Nonlinear Control
2 Computational and Applied Mathematics
2 Mathematical Problems in Engineering
2 New Journal of Physics
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Geometric Mechanics
2 Asian Journal of Control
2 Journal of Theoretical Biology
1 Applicable Analysis
1 General Relativity and Gravitation
1 Journal d’Analyse Mathématique
1 Journal of Engineering Mathematics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Russian Mathematical Surveys
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Optimization
1 Archiv der Mathematik
1 Demonstratio Mathematica
1 Geometriae Dedicata
1 Inventiones Mathematicae
1 Journal of Soviet Mathematics
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Journal of Symbolic Computation
1 Discrete & Computational Geometry
1 Mathematical and Computer Modelling
1 Forum Mathematicum
1 Neural Computation
1 Communications in Partial Differential Equations
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Dynamics and Differential Equations
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal of Mathematical Imaging and Vision
1 Journal of Nonlinear Science
1 Vestnik St. Petersburg University. Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Calculus of Variations and Partial Differential Equations
1 Journal of Lie Theory
1 Revista Investigación Operacional
1 European Journal of Control
1 Doklady Mathematics
1 Optimization Methods & Software
1 Mathematical Methods of Operations Research
1 Regular and Chaotic Dynamics
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of Biological Systems
1 Differential Equations
1 Moscow Mathematical Journal
1 Analysis and Applications (Singapore)
1 International Journal of Geometric Methods in Modern Physics
1 Journal of Industrial and Management Optimization
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Complex Variables and Elliptic Equations
1 Proceedings of the Steklov Institute of Mathematics
1 Networks and Heterogeneous Media
1 European Journal of Pure and Applied Mathematics
1 Mathematical Modelling of Natural Phenomena
1 Discrete and Continuous Dynamical Systems. Series S
...and 9 more Serials
all top 5

Cited in 40 Fields

195 Calculus of variations and optimal control; optimization (49-XX)
130 Systems theory; control (93-XX)
65 Differential geometry (53-XX)
50 Mechanics of particles and systems (70-XX)
40 Biology and other natural sciences (92-XX)
31 Ordinary differential equations (34-XX)
24 Quantum theory (81-XX)
23 Dynamical systems and ergodic theory (37-XX)
22 Global analysis, analysis on manifolds (58-XX)
19 Topological groups, Lie groups (22-XX)
17 Partial differential equations (35-XX)
13 Numerical analysis (65-XX)
9 Operations research, mathematical programming (90-XX)
6 Computer science (68-XX)
6 Mechanics of deformable solids (74-XX)
6 Fluid mechanics (76-XX)
4 Nonassociative rings and algebras (17-XX)
4 Manifolds and cell complexes (57-XX)
3 Difference and functional equations (39-XX)
3 Convex and discrete geometry (52-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Information and communication theory, circuits (94-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Algebraic geometry (14-XX)
2 Real functions (26-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Functional analysis (46-XX)
2 Algebraic topology (55-XX)
2 Relativity and gravitational theory (83-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Operator theory (47-XX)
1 General topology (54-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year