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Bonnard, Bernard

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Author ID: bonnard.bernard Recent zbMATH articles by "Bonnard, Bernard"
Published as: Bonnard, B.; Bonnard, Benard; Bonnard, Bernard; Bonnard, Bernhard
Documents Indexed: 99 Publications since 1978, including 7 Books
Biographic References: 2 Publications
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Serials

9 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 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 Systems & Control Letters
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 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

76 Publications have been cited 523 times in 280 Documents Cited by Year
Singular trajectories and their role in control theory. Zbl 1022.93003
Bonnard, Bernard; Chyba, Monique
100
2003
Second order optimality conditions in the smooth case and applications in optimal control. Zbl 1123.49014
Bonnard, Bernard; Caillau, Jean-Baptiste; Trélat, Emmanuel
33
2007
Sub-Riemannian sphere in Martinet flat case. Zbl 0902.53033
Agrachev, A.; Bonnard, B.; Chyba, M.; Kupka, I.
31
1997
Theory of singularities of the input/output function and optimality of singular trajectories in problems of minimal time. Zbl 0779.49025
Bonnard, Bernard; Kupka, Ivan
20
1993
Optimal control with state constraints and the space shuttle re-entry problem. Zbl 1034.49014
Bonnard, B.; Faubourg, L.; Launay, G.; Trélat, E.
16
2003
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
15
2009
Feedback equivalence for nonlinear systems and the time optimal control problem. Zbl 0744.93033
Bonnard, B.
15
1991
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.
15
1982
Celestial mechanics and control of space vehicles. Zbl 1104.70001
Bonnard, Bernard; Faubourg, Ludovic; Trélat, Emmanuel
13
2006
Generic properties of singular trajectories. Zbl 0907.93020
Bonnard, B.; Kupka, I.
13
1997
Time-minimal control of dissipative two-level quantum systems: the generic case. Zbl 1367.81072
Bonnard, Bernard; Chyba, Monique; Sugny, Dominique
12
2009
Geometric optimal control of elliptic Keplerian orbits. Zbl 1082.70014
Bonnard, B.; Caillau, J.-B.; Trélat, E.
12
2005
On the role of abnormal minimizers in sub-Riemannian geometry. Zbl 1017.53034
Bonnard, B.; Trélat, E.
12
2001
Time-minimal control of dissipative two-level quantum systems: the integrable case. Zbl 1288.81052
Bonnard, Bernard; Sugny, Dominique
11
2009
Contrôlabilité des systèmes non linéaires. Zbl 0498.93009
Bonnard, Bernard
11
1981
Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust. Zbl 1127.49017
Bonnard, Bernard; Caillau, Jean-Baptiste
8
2007
On singular extremals in the time minimal control problem in \({\mathbb{R}}^ 3\). Zbl 0602.49027
Bonnard, Bernard
8
1985
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.
7
2011
Geodesic flow of the averaged controlled Kepler equation. Zbl 1171.49030
Bonnard, Bernard; Caillau, Jean-Baptiste
7
2009
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.
7
2005
Quadratic control systems. Zbl 0724.93040
Bonnard, B.
7
1991
Optimal control with applications in space and quantum dynamics. Zbl 1266.49002
Bonnard, Bernard; Sugny, Dominique
6
2012
Energy minimization of single input orbit transfer by averaging and continuation. Zbl 1136.93046
Bonnard, Bernard; Caillau, Jean-Baptiste; Dujol, Romain
6
2006
A geometric approach for optimal control of the atmospheric arc of a space shuttle. Zbl 1054.49027
Bonnard, Bernard; Trélat, Emmanuel
6
2002
Geometric numerical methods and results in the contrast imaging problem in nuclear magnetic resonance. Zbl 1281.49025
Bonnard, B.; Cots, O.
5
2014
Singular trajectories and the contrast imaging problem in nuclear magnetic resonance. Zbl 1268.49022
Bonnard, Bernard; Chyba, Monique; Marriott, John
5
2013
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
5
2012
The smooth continuation method in optimal control with an application to quantum systems. Zbl 1213.49027
Bonnard, Bernard; Shcherbakova, Nataliya; Sugny, Dominique
5
2011
The energy minimization problem for two-level dissipative quantum systems. Zbl 1309.81118
Bonnard, B.; Cots, O.; Shcherbakova, N.; Sugny, D.
5
2010
Toward a geometric theory in the time-minimal control of chemical batch reactors. Zbl 0882.49024
Bonnard, B.; de Morant, J.
5
1995
Contrôlabilité de systèmes mécaniques sur les groupes de Lie. Zbl 0549.93009
Bonnard, Bernard
5
1984
Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance. Zbl 1311.49065
Bonnard, Bernard; Claeys, Mathieu; Cots, Olivier; Martinon, Pierre
4
2015
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
Optimality results in orbit transfer. Zbl 1122.49018
Bonnard, Bernard; Caillau, Jean-Baptiste
4
2007
Averaging and optimal control of elliptic keplerian orbits with low propulsion. Zbl 1100.93030
Bonnard, Bernard; Caillau, Jean-Baptiste; Dujol, Romain
4
2006
Exponential mapping, spheres and waves front in SR-geometry : The Martinet case. Zbl 0929.53016
Bonnard, Bernhard; Chyba, Monique
4
1999
Time minimal synthesis for planar systems in the neighborhood of a terminal manifold of codimension one. Zbl 0852.49014
Bonnard, B.; Pelletier, M.
4
1995
Contrôlabilité des systèmes bilinéaires. Zbl 0502.93010
Bonnard, Bernard
4
1981
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
3
2017
Metrics with equatorial singularities on the sphere. Zbl 1305.53040
Bonnard, B.; Caillau, J.-B.
3
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
Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces. Zbl 1296.53082
Bonnard, Bernard; Cots, Olivier; Jassionnesse, Lionel
3
2014
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
Energy minimization in two-level dissipative quantum control: the integrable case. Zbl 1306.81050
Bonnard, Bernard; Caillau, Jean-Baptiste; Cots, Olivier
3
2011
Geometric optimal control and two-level dissipative quantum systems. Zbl 1236.49047
Bonnard, B.; Sugny, D.
3
2009
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. Zbl 0891.49012
Bonnard, B.; Launay, G.; Pelletier, M.
3
1997
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
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
2
2016
The Serret-Andoyer Riemannian metric and Euler-Poinsot rigid body motion. Zbl 1276.53059
Bonnard, Bernard; Cots, Olivier; Shcherbakova, Nataliya
2
2013
A review of geometric optimal control for quantum systems in nuclear magnetic resonance. Zbl 1238.81181
Bonnard, Bernard; Glaser, Steffen J.; Sugny, Dominique
2
2012
Second order optimality conditions with applications. Zbl 1163.49307
Bonnard, B.; Caillau, J.-B.; Trelat, E.
2
2007
The transcendence needed to compute the sphere and the wave front in Martinet \(SR\)-geometry. Zbl 0988.35008
Bonnard, B.; Launay, G.; Trélat, E.
2
2001
Non integrable geodesics in SR-Martinet geometry. Zbl 0963.53015
Bonnard, Benard; Chyba, Monique; Kupka, Ivan
2
1999
Sub-Riemannian geometry, one-parameter deformation of the Martinet flat case. Zbl 0980.53043
Bonnard, B.; Chyba, M.; Trelat, E.
2
1998
Sub-Riemannian geometry: the Martinet case. Zbl 0967.53020
Bonnard, B.; Chyba, M.
2
1998
Time minimal control of batch reactors. Zbl 0914.93043
Bonnard, B.; Launay, G.
2
1998
Geometric time optimal control in batch reactors. Zbl 0800.49025
Bonnard, B.; Gauthier, J. P.; de Morant, J.
2
1991
Contrôle de l’attitude d’un satellite rigide. Zbl 0483.93022
Bonnard, B.
2
1982
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
Pontryagin-type conditions for optimal muscular force response to functional electrical stimulations. Zbl 1433.49025
Bakir, Toufik; Bonnard, Bernard; Bourdin, Loïc; Rouot, Jérémy
1
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
1
2019
Recent advances in celestial and space mechanics. Zbl 1343.70005
Bonnard, Bernard (ed.); Chyba, Monique (ed.)
1
2016
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
Conjugate-cut loci and injectivity domains on two-spheres of revolution. Zbl 1267.53042
Bonnard, Bernard; Caillau, Jean-Baptiste; Janin, Gabriel
1
2013
Convexity of injectivity domains on the ellipsoid of revolution: the oblate case. Zbl 1225.53006
Bonnard, Bernard; Caillau, Jean-Baptiste; Rifford, Ludovic
1
2010
Contemporary trends in nonlinear geometric control theory and its applications. International conference, México City, México, summer 2000. Dedicated to Velimir Jurdjevic on his 60th birthday. Zbl 0984.00078
Anzaldo-Meneses, A. (ed.); Bonnard, B. (ed.); Gauthier, J. P. (ed.); Monroy-Pérez, F. (ed.)
1
2002
Stratification of the abnormal sector in a Martinet sphere of small radius. Zbl 1239.53042
Bonnard, Bernard; Trélat, Emmanuel
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
Singular trajectories, feedback equivalence and the time optimal control problem. Zbl 0965.93060
Bonnard, B.
1
1998
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. Zbl 0816.58013
Bonnard, Bernard; Kupka, Ivan
1
1994
Minimal realization and classification of quadratic control systems. Zbl 0673.93010
Bonnard, B.
1
1988
On singular extremals in the time minimal control problem. Zbl 0673.49019
Bonnard, B.
1
1988
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
Pontryagin-type conditions for optimal muscular force response to functional electrical stimulations. Zbl 1433.49025
Bakir, Toufik; Bonnard, Bernard; Bourdin, Loïc; Rouot, Jérémy
1
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
1
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
3
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
2
2016
Recent advances in celestial and space mechanics. Zbl 1343.70005
Bonnard, Bernard (ed.); Chyba, Monique (ed.)
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
4
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.
5
2014
Metrics with equatorial singularities on the sphere. Zbl 1305.53040
Bonnard, B.; Caillau, J.-B.
3
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
Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces. Zbl 1296.53082
Bonnard, Bernard; Cots, Olivier; Jassionnesse, Lionel
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
5
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
6
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
5
2012
A review of geometric optimal control for quantum systems in nuclear magnetic resonance. Zbl 1238.81181
Bonnard, Bernard; Glaser, Steffen J.; Sugny, Dominique
2
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.
7
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
15
2009
Time-minimal control of dissipative two-level quantum systems: the generic case. Zbl 1367.81072
Bonnard, Bernard; Chyba, Monique; Sugny, Dominique
12
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.
3
2009
Second order optimality conditions in the smooth case and applications in optimal control. Zbl 1123.49014
Bonnard, Bernard; Caillau, Jean-Baptiste; Trélat, Emmanuel
33
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. Zbl 1104.70001
Bonnard, Bernard; Faubourg, Ludovic; Trélat, Emmanuel
13
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.
7
2005
Singular trajectories and their role in control theory. Zbl 1022.93003
Bonnard, Bernard; Chyba, Monique
100
2003
Optimal control with state constraints and the space shuttle re-entry problem. Zbl 1034.49014
Bonnard, B.; Faubourg, L.; Launay, G.; Trélat, E.
16
2003
A geometric approach for optimal control of the atmospheric arc of a space shuttle. Zbl 1054.49027
Bonnard, Bernard; Trélat, Emmanuel
6
2002
Contemporary trends in nonlinear geometric control theory and its applications. International conference, México City, México, summer 2000. Dedicated to Velimir Jurdjevic on his 60th birthday. Zbl 0984.00078
Anzaldo-Meneses, A. (ed.); Bonnard, B. (ed.); Gauthier, J. P. (ed.); Monroy-Pérez, F. (ed.)
1
2002
On the role of abnormal minimizers in sub-Riemannian geometry. Zbl 1017.53034
Bonnard, B.; Trélat, E.
12
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.
2
2001
Stratification of the abnormal sector in a Martinet sphere of small radius. Zbl 1239.53042
Bonnard, Bernard; Trélat, Emmanuel
1
2001
Exponential mapping, spheres and waves front in SR-geometry : The Martinet case. Zbl 0929.53016
Bonnard, Bernhard; Chyba, Monique
4
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.
2
1998
Sub-Riemannian geometry: the Martinet case. Zbl 0967.53020
Bonnard, B.; Chyba, M.
2
1998
Time minimal control of batch reactors. Zbl 0914.93043
Bonnard, B.; Launay, G.
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.
31
1997
Generic properties of singular trajectories. Zbl 0907.93020
Bonnard, B.; Kupka, I.
13
1997
Generic classification of time minimal synthesis in the neighborhood of a target of codimension one and 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.
5
1995
Time minimal synthesis for planar systems in the neighborhood of a terminal manifold of codimension one. Zbl 0852.49014
Bonnard, B.; Pelletier, M.
4
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. 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. Zbl 0779.49025
Bonnard, Bernard; Kupka, Ivan
20
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
Minimal realization and classification of quadratic control systems. Zbl 0673.93010
Bonnard, B.
1
1988
On singular extremals in the time minimal control problem. Zbl 0673.49019
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.
15
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
4
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
all top 5

Cited by 385 Authors

35 Bonnard, Bernard
28 Trélat, Emmanuel
19 Schättler, Heinz Michael
16 Ledzewicz, Urszula
15 Caillau, Jean-Baptiste
10 Boscain, Ugo
9 Agrachev, Andreĭ Aleksandrovich
7 Chyba, Monique
7 Cots, Olivier
7 Sachkov, Yuriĭ Leonidovich
6 Charlot, Grégoire
6 Rouot, Jérémy
6 Sigalotti, Mario
5 Bonnans, Joseph Frédéric
5 Grochowski, Marek
5 Sugny, Dominique
4 Bayen, Térence
4 Boarotto, Francesco
4 Bourdin, Loïc
4 Gauthier, Jean-Paul A.
4 Hermant, Audrey
4 Jean, Frédéric
4 Martinon, Pierre
4 Maurer, Helmut
4 Respondek, Witold
3 Barilari, Davide
3 Beschastnyi, Ivan Yu.
3 Biggs, Rory
3 Calin, Ovidiu L.
3 Cerf, Max
3 Chitour, Yacine
3 Da Silva Fernandes, Sandro
3 Ghezzi, Roberta
3 Glaser, Steffen J.
3 Hilgert, Joachim
3 Jacquemard, Alain
3 Kilin, Aleksandr Aleksandrovich
3 Kupka, Ivan A. K.
3 Mairet, Francis
3 Mashtakov, Alexey P.
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 Sarychev, Andrey V.
3 Shcherbakova, Nataliya
3 Wang, Shuo
3 Zhang, Guofeng
3 Zhu, Jiamin
3 Zuazua, Enrique
2 Aronna, María Soledad
2 Ayala, Victor
2 Barbero-Liñán, María
2 Belmonte-Beitia, Juan
2 Bettiol, Piernicola
2 Borisov, Alekseĭ Vladimirovich
2 Carvalho, Francisco Das Chagas
2 Chang, Der-Chen E.
2 Chaplais, François
2 Chen, Zheng
2 Claeys, Mathieu
2 Combot, Thierry
2 Coron, Jean-Michel
2 Crouch, Peter E.
2 Cui, Qing
2 Deng, Li
2 Dong, Daoyi
2 Dujol, Romain
2 Gajardo, Pedro
2 Gergaud, Joseph
2 Henninger, Helen Clare
2 Henrion, Didier
2 Ishikawa, Goo
2 Iung, Claude
2 Janin, Gabriel
2 Jouan, Philippe
2 Kitagawa, Yumiko
2 Lapert, Marc
2 Launay, Gaby
2 Le Donne, Enrico
2 Li, Jr-Shin
2 Mamaev, Ivan Sergeevich
2 Margaliot, Michael
2 Mason, Paolo
2 Montanari, Annamaria
2 Moore, Helen
2 Morbidelli, Daniele
2 Muñoz-Lecanda, Miguel C.
2 Patiño, Diego
2 Petit, Nicolas
2 Picot, Gautier
2 Prandi, Dario
2 Puta, Mircea
2 Rabitz, Herschel A.
2 Rizzi, Luca
2 Rupniewski, Marek W.
2 Sebbah, Matthieu
...and 285 more Authors
all top 5

Cited in 102 Serials

21 Journal of Dynamical and Control Systems
19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
16 Systems & Control Letters
14 SIAM Journal on Control and Optimization
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 Automatica
11 Journal of Optimization Theory and Applications
9 Journal of Mathematical Sciences (New York)
6 Acta Applicandae Mathematicae
5 Journal of Differential Equations
5 MCSS. Mathematics of Control, Signals, and Systems
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Bulletin des Sciences Mathématiques
5 Discrete and Continuous Dynamical Systems. Series B
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 the Franklin Institute
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 Celestial Mechanics and Dynamical Astronomy
3 Mathematical Biosciences and Engineering
3 Pacific Journal of Mathematics for Industry
2 Mathematical Biosciences
2 Rocky Mountain Journal of Mathematics
2 Mathematical Systems Theory
2 Differential Geometry and its Applications
2 The Journal of Geometric Analysis
2 Mathematical Programming. Series A. Series B
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 Asian Journal of Control
2 Mathematical Control and Related Fields
2 Journal of Theoretical Biology
1 Applicable Analysis
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 Nonlinearity
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 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Proceedings of the Edinburgh Mathematical Society. Series II
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 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 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 Analysis and Applications (Singapore)
1 International Journal of Geometric Methods in Modern Physics
1 Journal of Industrial and Management Optimization
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 Discrete and Continuous Dynamical Systems. Series S
1 International Journal of Biomathematics
1 Advances in Mathematical Physics
1 Journal of Control Science and Engineering
1 MathematicS In Action
1 Journal of Geometric Mechanics
1 Set-Valued and Variational Analysis
1 Journal of Spectral Theory
1 Analysis and Mathematical Physics
...and 2 more Serials
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Cited in 39 Fields

171 Calculus of variations and optimal control; optimization (49-XX)
126 Systems theory; control (93-XX)
59 Differential geometry (53-XX)
48 Mechanics of particles and systems (70-XX)
32 Biology and other natural sciences (92-XX)
30 Ordinary differential equations (34-XX)
23 Quantum theory (81-XX)
22 Dynamical systems and ergodic theory (37-XX)
21 Global analysis, analysis on manifolds (58-XX)
17 Partial differential equations (35-XX)
16 Topological groups, Lie groups (22-XX)
13 Numerical analysis (65-XX)
8 Operations research, mathematical programming (90-XX)
5 Computer science (68-XX)
4 Nonassociative rings and algebras (17-XX)
4 Mechanics of deformable solids (74-XX)
4 Fluid mechanics (76-XX)
3 Convex and discrete geometry (52-XX)
3 Manifolds and cell complexes (57-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 Algebraic geometry (14-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Difference and functional equations (39-XX)
2 Functional analysis (46-XX)
2 Algebraic topology (55-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Real functions (26-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)
1 Relativity and gravitational theory (83-XX)

Citations by Year