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Gauthier, Jean-Paul A.

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Author ID: gauthier.jean-paul-a Recent zbMATH articles by "Gauthier, Jean-Paul A."
Published as: Gauthier, J. P.; Gauthier, J. P. A.; Gauthier, J.-P.; Gauthier, Jean Paul; Gauthier, Jean- Paul; Gauthier, Jean-Paul; Gauthier, Jean-Paul A.
Homepage: http://www.lsis.org/gauthierjp/
External Links: Math-Net.Ru
Documents Indexed: 113 Publications since 1976, including 7 Books
all top 5

Co-Authors

2 single-authored
17 Boscain, Ugo
12 Bornard, Guy
12 Kupka, Ivan A. K.
10 Agrachev, Andreĭ Aleksandrovich
9 Zakalyukin, Vladimir M.
8 Busvelle, Éric
8 Celle, Frédéric
7 Rossi, Francesco
5 Prandi, Dario
4 Bonnard, Bernard
4 Charlot, Grégoire
4 Deza, François
4 El Assoudi, R.
4 Rakotopara, Daniel
4 Remizov, Alexey O.
3 Boizot, Nicolas
3 Chertovskih, Roman A.
3 Gourd, François
3 Hammouri, Hassan
3 Monroy-Pérez, Felipe
3 Sallet, Gauthier
3 Serres, Ulysse
2 Berret, Bastien
2 Bossanne, Denis
2 Bounabat, Abdellah
2 Darmet, Charles
2 Duplaix, Jean
2 El Alaoui, El-Houcine Chakir
2 Kazakos, Dimitri
2 Lafont, Frederic
2 Ligarius, Philippe
2 Maillot, Thibault
2 Sigalotti, Mario
2 Viel, F.
2 Xu, Chengzhang
2 Xu, Chenzhong
1 Ajami, Alain
1 Andrieu, Vincent
1 Anzaldo-Meneses, Alfonso
1 Assoudi, Rachida El
1 Balmat, Jean-Francois
1 Barilari, Davide
1 Bilbault, Jean-Marie
1 Binczak, Stéphane
1 Bohi, Amine
1 Bonnet, Benoît
1 Bouchara, Frédéric
1 Bride, Bernard
1 Brivadis, Lucas
1 Chakir El-A., El-H.
1 Chambrion, Thomas
1 Chittaro, Francesca C.
1 de Morant, J.
1 Guérin, J. P.
1 Guérin, Stéphane
1 Guis, Vincente
1 Jacquir, Sabir
1 Jakubczyk, Bronisław
1 Jauslin, Hans-Rudolf
1 Jean, Frédéric
1 Jouan, Ph
1 Kazakos, Demetrios
1 Lemaître, Cedric
1 Methnani, Salowa
1 Milani, Enrico
1 Mitéran, Johel
1 Nougaret, Marcel
1 Othman, Saib
1 Papaxanthis, C.
1 Pessel, Nathalie
1 Romero-Meléndez, Cutberto
1 Saint-Val
1 Sarychev, Andrey V.
1 Silbermann, Martine
1 Smach, Fethi
1 Stefani, Gianna
1 Xu, Chengzhu
all top 5

Serials

11 SIAM Journal on Control and Optimization
8 Journal of Dynamical and Control Systems
7 IEEE Transactions on Automatic Control
6 Systems & Control Letters
5 Comptes Rendus de l’Académie des Sciences. Série I
4 International Journal of Control
3 Mathematical Systems Theory
3 Proceedings of the Steklov Institute of Mathematics
2 Automatica
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 MCSS. Mathematics of Control, Signals, and Systems
2 RAIRO. Automatique-Productique, Informatique Industrielle
2 Journal of Mathematical Imaging and Vision
2 Journal of Mathematical Systems, Estimation, and Control
2 Journal of Mathematical Sciences (New York)
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 IEEE Transactions on Information Theory
1 Journal of Mathematical Physics
1 Journal of Functional Analysis
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 RAIRO, Automatique, Systems Analysis and Control
1 Acta Applicandae Mathematicae
1 Traitement du Signal
1 Applied Mathematics Letters
1 IEEE Transactions on Systems, Man, and Cybernetics
1 European Journal of Control
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 SIAM Journal on Imaging Sciences
1 Discrete and Continuous Dynamical Systems. Series S
1 Mathematical Control and Related Fields
1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Jaune
1 Springer INdAM Series
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 SpringerBriefs in Mathematics

Publications by Year

Citations contained in zbMATH

90 Publications have been cited 1,152 times in 694 Documents Cited by Year
A simple observer for nonlinear systems applications to bioreactors. Zbl 0775.93020
Gauthier, J. P.; Hammouri, H.; Othman, S.
258
1992
Observability and observers for nonlinear systems. Zbl 0802.93008
Gauthier, J. P.; Kupka, I. A. K.
73
1994
Observability for any u(t) of a class of nonlinear systems. Zbl 0553.93014
Gauthier, J. P.; Bornard, G.
73
1981
Deterministic observation: theory and applications. Zbl 0990.93001
Gauthier, Jean-Paul; Kupka, Ivan
71
2001
The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups. Zbl 1165.58012
Agrachev, Andrei; Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco
56
2009
High gain estimation for nonlinear systems. Zbl 0779.93018
Deza, F.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D.
45
1992
An adaptive high-gain observer for nonlinear systems. Zbl 1201.93122
Boizot, Nicolas; Busvelle, Eric; Gauthier, Jean-Paul
33
2010
Optimal control in laser-induced population transfer for two- and three-level quantum systems. Zbl 1059.81195
Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul; Guérin, Stéphane; Jauslin, Hans-Rudolf
27
2002
Bilinearization up to output injection. Zbl 0648.93024
Hammouri, H.; Gauthier, J. P.
27
1988
A separation principle for bilinear systems with dissipative drift. Zbl 0778.93102
Gauthier, J. P.; Kupka, I.
23
1992
On subsemigroups of semisimple Lie groups. Zbl 0848.93006
El Assoudi, R.; Gauthier, J. P.; Kupka, I. A. K.
20
1996
Controllability of right invariant systems on real simple Lie groups. Zbl 0552.93010
Gauthier, J. P.; Kupka, I.; Sallet, G.
19
1984
Small sub-Riemannian balls on \(\mathbf R^3\). Zbl 0941.53024
El Alaoui, El-Houcine Chakir; Gauthier, J.-P.; Kupka, I.
17
1996
Synthesis of nonlinear observers: A harmonic-analysis approach. Zbl 0691.93005
Celle, F.; Gauthier, J. P.; Kazakos, D.; Sallet, G.
17
1989
Global time-varying linearization up to output injection. Zbl 0771.93033
Hammouri, H.; Gauthier, J. P.
16
1992
Controlabilité des systèmes bilinéaires. (Controllability of bilinear systems). Zbl 0579.93005
Gauthier, J.-P.; Bornard, G.
16
1982
Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002
Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O.
15
2014
Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011
Boscain, Ugo; Duplaix, Jean; Gauthier, Jean-Paul; Rossi, Francesco
14
2012
Sub-Riemannian metrics on \(\mathbb{R}^3\). Zbl 0962.53022
Agrachev, A. A.; Chakir El-A., El-H.; Gauthier, J. P.
14
1998
Exponential observers for nonlinear systems. Zbl 0792.93046
Deza, F.; Bossanne, D.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D.
14
1993
Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems. Zbl 1306.81051
Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco; Sigalotti, Mario
13
2015
On the \(K+P\) problem for a three-level quantum system: Optimality implies resonance. Zbl 1022.53028
Boscain, U.; Chambrion, T.; Gauthier, J.-P.
13
2002
On the subanalyticity of Carnot-Carathéodory distances. Zbl 1001.93014
Agrachev, Andrei; Gauthier, Jean-Paul
13
2001
Observability for systems with more outputs than inputs and asymptotic observers. Zbl 0863.93008
Gauthier, J. P.; Kupka, I. A. K.
13
1996
Stability of polymerization reactors using I/O linearization and a high- gain observer. Zbl 0825.93539
Viel, F.; Busvelle, E.; Gauthier, J. P.
13
1995
On the motion planning problem, complexity, entropy, and nonholonomic interpolation. Zbl 1121.53025
Gauthier, Jean-Paul; Zakalyukin, Vladimir
12
2006
On the codimension one motion planning problem. Zbl 1079.53049
Gauthier, J.-P.; Zakalyukin, V.
9
2005
An observer for infinite-dimensional dissipative bilinear systems. Zbl 0829.93006
Xu, C.-Z.; Ligarius, P.; Gauthier, J.-P.
9
1995
Controllability of right invariant systems on real simple Lie groups of type \(F_ 4\), \(G_ 2\), \(C_ n\), and \(B_ n\). Zbl 0672.93009
El Assoudi, R.; Gauthier, J. P.
9
1988
Stabilisation des systèmes non linéaires. Zbl 0513.93045
Gauthier, J. P.; Bornard, G.
9
1981
On the one-step-Bracket-Generating motion planning problem. Zbl 1069.53032
Gauthier, J.-P.; Zakalyukin, V.
8
2005
Finite singularities of nonlinear systems. Output stabilization, observability, and observers. Zbl 0944.93026
Jouan, P.; Gauthier, J.-P.
8
1996
Observation and identification tools for nonlinear systems: application to a fluid catalytic cracker. Zbl 1074.93507
Busvelle, Eric; Gauthier, Jean-Paul
7
2005
On sub-Riemann caustics and wave fronts for contact distributions in the three-space. Zbl 1040.58017
Agrachev, A. A.; Charlot, G.; Gauthier, J. P. A.; Zakalyukin, V. M.
7
2000
An observer for infinite-dimensional skew-adjoint bilinear systems. Zbl 0832.93008
Gauthier, J. P.; Xu, C. Z.; Bounabat, A.
7
1995
Image processing in the semidiscrete group of rototranslations. Zbl 1406.94005
Prandi, Dario; Boscain, Ugo; Gauthier, Jean-Paul
6
2015
On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064
Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul
6
2012
On complexity and motion planning for co-rank one sub-Riemannian metrics. Zbl 1101.93030
Romero-Meléndez, Cutberto; Gauthier, Jean Paul; Monroy-Pérez, Felipe
6
2004
H\({}^{\infty}\)-control of a distributed parameter system with non- minimum phase. Zbl 0724.93028
Gauthier, J. P.; Xu, C. Z.
6
1991
Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups. Zbl 1309.58001
Boscain, U.; Gauthier, J.-P.; Rossi, F.
5
2014
Sensor fault reconstruction and observability for unknown inputs, with an application to wastewater treatment plants. Zbl 1245.93025
Methnani, Salowa; Gauthier, Jean-Paul; Lafont, Frederic
5
2011
Motion planning and fastly oscillating controls. Zbl 1206.53035
Gauthier, Jean-Paul; Jakubczyk, Bronisław; Zakalyukin, Vladimir
5
2010
Sub-Riemannian metrics and isoperimetric problems in the contact case. Zbl 1008.53019
Agrachev, A. A.; Gauthier, J. P. A.
5
2001
On the Dido problem and plane isoperimetric problems. Zbl 0977.53068
Agrachev, Andrei A.; Gauthier, Jean-Paul A.
5
1999
Analyse et commande d’un échangeur thermique à contre-courant. (Analysis and control of a heat exchanger with counter-current). Zbl 0741.93064
Xu, C.-Z.; Gauthier, J.-P.
5
1991
Observabilité et observateurs de systèmes non linéaires. (Observability and observers for nonlinear systems). Zbl 0635.93013
Gauthier, J. P.; Kazakos, D.
5
1988
Uniqueness of weakly minimal analytic realizations. Zbl 0509.57024
Gauthier, J. P.; Bornard, G.
5
1983
Realizations of nonlinear analytic input-output maps. Zbl 0638.93016
Celle, F.; Gauthier, J. P.
4
1987
Structure des systèmes non linéaires. (Structure of nonlinear systems). Zbl 0606.58001
Gauthier, Jean-Paul
4
1984
Commande multivariable en presence de contraintes de type inégalité. Zbl 0518.93038
Gauthier, J. P.; Bornard, G.
4
1983
Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004
Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey
3
2018
Geometric control theory and sub-Riemannian geometry. Proceedings of the meeting on geometric control theory and sub-Riemannian geometry, dedicated to Andrei A. Agrachev on the occasion of his 60th birthday, Cortona, Italy, May 21–25, 2012. Zbl 1287.49001
Stefani, Gianna (ed.); Boscain, Ugo (ed.); Gauthier, Jean-Paul (ed.); Sarychev, Andrey (ed.); Sigalotti, Mario (ed.)
3
2014
Motion planning for kinematic systems. Zbl 1369.93409
Boizot, Nicolas; Gauthier, Jean-Paul
3
2013
On the spherical Hausdorff measure in step 2 corank 2 sub-Riemannian geometry. Zbl 1318.53021
Boscain, Ugo; Gauthier, Jean-Paul
3
2013
How humans fly. Zbl 1280.93038
Ajami, Alain; Gauthier, Jean-Paul; Maillot, Thibault; Serres, Ulysse
3
2013
High-gain and non-high-gain observers for nonlinear systems. Zbl 1175.93047
Busvelle, E.; Gauthier, J. P.
3
2002
Generic singularities of sub-Riemannian metrics on \(\mathbb{R}^ 3\). Zbl 0843.53025
Agrachev, Andrei; El Alaoui, El-Houcine Chakir; Gauthier, Jean-Paul; Kupka, Ivan
3
1996
Controllability of right invariant systems on semi-simple Lie groups. Zbl 0839.93019
El Assoudi, R.; Gauthier, J. P.; Kupka, I. A. K.
3
1995
Weak stabilizability of infinite dimensional nonlinear systems. Zbl 0722.93058
Bounabat, Abdellah; Gauthier, Jean-Paul
3
1991
Unitary immersions of nonlinear systems. Zbl 0626.93028
Gauthier, J. P.; Guérin, J. P.
3
1986
Global realizations of analytic input-output mappings. Zbl 0602.93013
Gauthier, J. P.; Bornard, G.
3
1986
Existence and uniqueness of minimal realizations for a class of \(C^{\infty}\) systems. Zbl 0591.93013
Gauthier, J. P.; Bornard, G.
3
1984
An openness condition for the controllability of nonlinear systems. Zbl 0509.93015
Gauthier, J. P.; Bornard, G.
3
1982
A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition. Zbl 1415.68007
Prandi, Dario; Gauthier, Jean-Paul
2
2018
Asymptotic ensemble stabilizability of the Bloch equation. Zbl 1386.93253
Chittaro, Francesca C.; Gauthier, Jean-Paul
2
2018
On the motion planning of the ball with a trailer. Zbl 1273.49003
Boizot, Nicolas; Gauthier, Jean-Paul
2
2013
How humans control arm movements. Zbl 1236.93012
Berret, B.; Gauthier, J.-P.; Papaxanthis, C.
2
2008
Robot motion planning: a wild case. Zbl 1138.70316
Gauthier, J. P.; Zakalyukin, V. M.
2
2005
Optimal control of the Schrödinger equation with two or three levels. Zbl 1009.93060
Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul
2
2003
A stable control structure for binary distillation columns. Zbl 0886.93045
Viel, F.; Busvelle, E.; Gauthier, J. P.
2
1997
Genericity of observability and the existence of asymptotic observers. Zbl 0839.93020
Gauthier, J. P.; Kupka, I. A. K.
2
1995
Motions and pattern analysis: Harmonic analysis on motion groups and their homogeneous spaces. Zbl 0712.42020
Gauthier, Jean-Paul; Bornard, Guy; Silbermann, Martine
2
1991
Geometric time optimal control in batch reactors. Zbl 0800.49025
Bonnard, B.; Gauthier, J. P.; de Morant, J.
2
1991
Existence of realizations of nonlinear analytic input-output maps. Zbl 0587.93016
Celle, F.; Gauthier, J. P.; Milani, E.
2
1986
Existence and uniqueness of minimal realizations in the \(C^\infty\) case. Zbl 0497.93014
Gauthier, J. P.; Bornard, G.
2
1982
Fourier descriptors based on the structure of the human primary visual cortex with applications to object recognition. Zbl 1425.68365
Bohi, Amine; Prandi, Dario; Guis, Vincente; Bouchara, Frédéric; Gauthier, Jean-Paul
1
2017
Lyapunov and minimum-time path planning for drones. Zbl 1328.93205
Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse
1
2015
A biomechanical inactivation principle. Zbl 1218.92012
Gauthier, Jean-Paul; Berret, Bastien; Jean, Frédéric
1
2010
Finding invariants of group actions on function spaces, a general methodology from non-abelian harmonic analysis. Zbl 1148.43004
Gauthier, Jean-Paul; Smach, Fethi; Lemaître, Cedric; Miteran, Johel
1
2008
Emergence of travelling waves in smooth nerve fibres. Zbl 1148.92006
Jacquir, S.; Binczaķ, S.; Gauthier, J. P.; Bilbault, J. M.
1
2008
Entropy estimations for motion planning problems in robotics. Zbl 1152.93045
Gauthier, J.-P.; Zakalyukin, V. M.
1
2007
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
Sub-Riemannian metrics and isoperimetric problems in contact case. Zbl 0986.53009
Agrachev, A. A.; Gauthier, J. P. A.
1
1999
A simple observer for distributed systems: Application to a heat exchanger. Zbl 0924.93006
Ligarius, Ph.; Gauthier, J.-P.; Xu, C. Z.
1
1998
Contrôlabilité sur l’espace quotient d’un group de Lie par un sous- groupe compact. (Controllability on the quotient of a Lie group by a compact subgroup). Zbl 0717.93004
Assoudi, Rachida El; Gauthier, Jean-Paul
1
1990
Controllability of right-invariant systems on semisimple Lie groups. Zbl 0682.93009
El Assoudi, R.; Gauthier, J. P.
1
1989
Une méthode d’invariants de l’analyse harmonique en reconnaissance de formes. (Invariants from harmonic analysis for pattern recognition). Zbl 0679.68165
Gourd, François; Gauthier, Jean-Paul
1
1989
Theory of dynamic observers for a class of nonlinear system. Zbl 0672.93012
Gauthier, J. P.; Celle, F.
1
1988
Orthogonal representations of nonlinear systems and input-output maps. Zbl 0613.93012
Celle, F.; Gauthier, J. P.; Kazakos, D.
1
1986
Existence et unicité de réalisations analytiques minimales globales de systèmes non linéaires. (Existence and uniqueness of analytic minimal global realizations of nonlinear systems). Zbl 0571.93017
Gauthier, Jean-Paul; Bornard, Guy
1
1984
Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004
Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey
3
2018
A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition. Zbl 1415.68007
Prandi, Dario; Gauthier, Jean-Paul
2
2018
Asymptotic ensemble stabilizability of the Bloch equation. Zbl 1386.93253
Chittaro, Francesca C.; Gauthier, Jean-Paul
2
2018
Fourier descriptors based on the structure of the human primary visual cortex with applications to object recognition. Zbl 1425.68365
Bohi, Amine; Prandi, Dario; Guis, Vincente; Bouchara, Frédéric; Gauthier, Jean-Paul
1
2017
Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems. Zbl 1306.81051
Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco; Sigalotti, Mario
13
2015
Image processing in the semidiscrete group of rototranslations. Zbl 1406.94005
Prandi, Dario; Boscain, Ugo; Gauthier, Jean-Paul
6
2015
Lyapunov and minimum-time path planning for drones. Zbl 1328.93205
Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse
1
2015
Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002
Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O.
15
2014
Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups. Zbl 1309.58001
Boscain, U.; Gauthier, J.-P.; Rossi, F.
5
2014
Geometric control theory and sub-Riemannian geometry. Proceedings of the meeting on geometric control theory and sub-Riemannian geometry, dedicated to Andrei A. Agrachev on the occasion of his 60th birthday, Cortona, Italy, May 21–25, 2012. Zbl 1287.49001
Stefani, Gianna (ed.); Boscain, Ugo (ed.); Gauthier, Jean-Paul (ed.); Sarychev, Andrey (ed.); Sigalotti, Mario (ed.)
3
2014
Motion planning for kinematic systems. Zbl 1369.93409
Boizot, Nicolas; Gauthier, Jean-Paul
3
2013
On the spherical Hausdorff measure in step 2 corank 2 sub-Riemannian geometry. Zbl 1318.53021
Boscain, Ugo; Gauthier, Jean-Paul
3
2013
How humans fly. Zbl 1280.93038
Ajami, Alain; Gauthier, Jean-Paul; Maillot, Thibault; Serres, Ulysse
3
2013
On the motion planning of the ball with a trailer. Zbl 1273.49003
Boizot, Nicolas; Gauthier, Jean-Paul
2
2013
Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011
Boscain, Ugo; Duplaix, Jean; Gauthier, Jean-Paul; Rossi, Francesco
14
2012
On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064
Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul
6
2012
Sensor fault reconstruction and observability for unknown inputs, with an application to wastewater treatment plants. Zbl 1245.93025
Methnani, Salowa; Gauthier, Jean-Paul; Lafont, Frederic
5
2011
An adaptive high-gain observer for nonlinear systems. Zbl 1201.93122
Boizot, Nicolas; Busvelle, Eric; Gauthier, Jean-Paul
33
2010
Motion planning and fastly oscillating controls. Zbl 1206.53035
Gauthier, Jean-Paul; Jakubczyk, Bronisław; Zakalyukin, Vladimir
5
2010
A biomechanical inactivation principle. Zbl 1218.92012
Gauthier, Jean-Paul; Berret, Bastien; Jean, Frédéric
1
2010
The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups. Zbl 1165.58012
Agrachev, Andrei; Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco
56
2009
How humans control arm movements. Zbl 1236.93012
Berret, B.; Gauthier, J.-P.; Papaxanthis, C.
2
2008
Finding invariants of group actions on function spaces, a general methodology from non-abelian harmonic analysis. Zbl 1148.43004
Gauthier, Jean-Paul; Smach, Fethi; Lemaître, Cedric; Miteran, Johel
1
2008
Emergence of travelling waves in smooth nerve fibres. Zbl 1148.92006
Jacquir, S.; Binczaķ, S.; Gauthier, J. P.; Bilbault, J. M.
1
2008
Entropy estimations for motion planning problems in robotics. Zbl 1152.93045
Gauthier, J.-P.; Zakalyukin, V. M.
1
2007
On the motion planning problem, complexity, entropy, and nonholonomic interpolation. Zbl 1121.53025
Gauthier, Jean-Paul; Zakalyukin, Vladimir
12
2006
On the codimension one motion planning problem. Zbl 1079.53049
Gauthier, J.-P.; Zakalyukin, V.
9
2005
On the one-step-Bracket-Generating motion planning problem. Zbl 1069.53032
Gauthier, J.-P.; Zakalyukin, V.
8
2005
Observation and identification tools for nonlinear systems: application to a fluid catalytic cracker. Zbl 1074.93507
Busvelle, Eric; Gauthier, Jean-Paul
7
2005
Robot motion planning: a wild case. Zbl 1138.70316
Gauthier, J. P.; Zakalyukin, V. M.
2
2005
On complexity and motion planning for co-rank one sub-Riemannian metrics. Zbl 1101.93030
Romero-Meléndez, Cutberto; Gauthier, Jean Paul; Monroy-Pérez, Felipe
6
2004
Optimal control of the Schrödinger equation with two or three levels. Zbl 1009.93060
Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul
2
2003
Optimal control in laser-induced population transfer for two- and three-level quantum systems. Zbl 1059.81195
Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul; Guérin, Stéphane; Jauslin, Hans-Rudolf
27
2002
On the \(K+P\) problem for a three-level quantum system: Optimality implies resonance. Zbl 1022.53028
Boscain, U.; Chambrion, T.; Gauthier, J.-P.
13
2002
High-gain and non-high-gain observers for nonlinear systems. Zbl 1175.93047
Busvelle, E.; Gauthier, J. P.
3
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
Deterministic observation: theory and applications. Zbl 0990.93001
Gauthier, Jean-Paul; Kupka, Ivan
71
2001
On the subanalyticity of Carnot-Carathéodory distances. Zbl 1001.93014
Agrachev, Andrei; Gauthier, Jean-Paul
13
2001
Sub-Riemannian metrics and isoperimetric problems in the contact case. Zbl 1008.53019
Agrachev, A. A.; Gauthier, J. P. A.
5
2001
On sub-Riemann caustics and wave fronts for contact distributions in the three-space. Zbl 1040.58017
Agrachev, A. A.; Charlot, G.; Gauthier, J. P. A.; Zakalyukin, V. M.
7
2000
On the Dido problem and plane isoperimetric problems. Zbl 0977.53068
Agrachev, Andrei A.; Gauthier, Jean-Paul A.
5
1999
Sub-Riemannian metrics and isoperimetric problems in contact case. Zbl 0986.53009
Agrachev, A. A.; Gauthier, J. P. A.
1
1999
Sub-Riemannian metrics on \(\mathbb{R}^3\). Zbl 0962.53022
Agrachev, A. A.; Chakir El-A., El-H.; Gauthier, J. P.
14
1998
A simple observer for distributed systems: Application to a heat exchanger. Zbl 0924.93006
Ligarius, Ph.; Gauthier, J.-P.; Xu, C. Z.
1
1998
A stable control structure for binary distillation columns. Zbl 0886.93045
Viel, F.; Busvelle, E.; Gauthier, J. P.
2
1997
On subsemigroups of semisimple Lie groups. Zbl 0848.93006
El Assoudi, R.; Gauthier, J. P.; Kupka, I. A. K.
20
1996
Small sub-Riemannian balls on \(\mathbf R^3\). Zbl 0941.53024
El Alaoui, El-Houcine Chakir; Gauthier, J.-P.; Kupka, I.
17
1996
Observability for systems with more outputs than inputs and asymptotic observers. Zbl 0863.93008
Gauthier, J. P.; Kupka, I. A. K.
13
1996
Finite singularities of nonlinear systems. Output stabilization, observability, and observers. Zbl 0944.93026
Jouan, P.; Gauthier, J.-P.
8
1996
Generic singularities of sub-Riemannian metrics on \(\mathbb{R}^ 3\). Zbl 0843.53025
Agrachev, Andrei; El Alaoui, El-Houcine Chakir; Gauthier, Jean-Paul; Kupka, Ivan
3
1996
Stability of polymerization reactors using I/O linearization and a high- gain observer. Zbl 0825.93539
Viel, F.; Busvelle, E.; Gauthier, J. P.
13
1995
An observer for infinite-dimensional dissipative bilinear systems. Zbl 0829.93006
Xu, C.-Z.; Ligarius, P.; Gauthier, J.-P.
9
1995
An observer for infinite-dimensional skew-adjoint bilinear systems. Zbl 0832.93008
Gauthier, J. P.; Xu, C. Z.; Bounabat, A.
7
1995
Controllability of right invariant systems on semi-simple Lie groups. Zbl 0839.93019
El Assoudi, R.; Gauthier, J. P.; Kupka, I. A. K.
3
1995
Genericity of observability and the existence of asymptotic observers. Zbl 0839.93020
Gauthier, J. P.; Kupka, I. A. K.
2
1995
Observability and observers for nonlinear systems. Zbl 0802.93008
Gauthier, J. P.; Kupka, I. A. K.
73
1994
Exponential observers for nonlinear systems. Zbl 0792.93046
Deza, F.; Bossanne, D.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D.
14
1993
A simple observer for nonlinear systems applications to bioreactors. Zbl 0775.93020
Gauthier, J. P.; Hammouri, H.; Othman, S.
258
1992
High gain estimation for nonlinear systems. Zbl 0779.93018
Deza, F.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D.
45
1992
A separation principle for bilinear systems with dissipative drift. Zbl 0778.93102
Gauthier, J. P.; Kupka, I.
23
1992
Global time-varying linearization up to output injection. Zbl 0771.93033
Hammouri, H.; Gauthier, J. P.
16
1992
H\({}^{\infty}\)-control of a distributed parameter system with non- minimum phase. Zbl 0724.93028
Gauthier, J. P.; Xu, C. Z.
6
1991
Analyse et commande d’un échangeur thermique à contre-courant. (Analysis and control of a heat exchanger with counter-current). Zbl 0741.93064
Xu, C.-Z.; Gauthier, J.-P.
5
1991
Weak stabilizability of infinite dimensional nonlinear systems. Zbl 0722.93058
Bounabat, Abdellah; Gauthier, Jean-Paul
3
1991
Motions and pattern analysis: Harmonic analysis on motion groups and their homogeneous spaces. Zbl 0712.42020
Gauthier, Jean-Paul; Bornard, Guy; Silbermann, Martine
2
1991
Geometric time optimal control in batch reactors. Zbl 0800.49025
Bonnard, B.; Gauthier, J. P.; de Morant, J.
2
1991
Contrôlabilité sur l’espace quotient d’un group de Lie par un sous- groupe compact. (Controllability on the quotient of a Lie group by a compact subgroup). Zbl 0717.93004
Assoudi, Rachida El; Gauthier, Jean-Paul
1
1990
Synthesis of nonlinear observers: A harmonic-analysis approach. Zbl 0691.93005
Celle, F.; Gauthier, J. P.; Kazakos, D.; Sallet, G.
17
1989
Controllability of right-invariant systems on semisimple Lie groups. Zbl 0682.93009
El Assoudi, R.; Gauthier, J. P.
1
1989
Une méthode d’invariants de l’analyse harmonique en reconnaissance de formes. (Invariants from harmonic analysis for pattern recognition). Zbl 0679.68165
Gourd, François; Gauthier, Jean-Paul
1
1989
Bilinearization up to output injection. Zbl 0648.93024
Hammouri, H.; Gauthier, J. P.
27
1988
Controllability of right invariant systems on real simple Lie groups of type \(F_ 4\), \(G_ 2\), \(C_ n\), and \(B_ n\). Zbl 0672.93009
El Assoudi, R.; Gauthier, J. P.
9
1988
Observabilité et observateurs de systèmes non linéaires. (Observability and observers for nonlinear systems). Zbl 0635.93013
Gauthier, J. P.; Kazakos, D.
5
1988
Theory of dynamic observers for a class of nonlinear system. Zbl 0672.93012
Gauthier, J. P.; Celle, F.
1
1988
Realizations of nonlinear analytic input-output maps. Zbl 0638.93016
Celle, F.; Gauthier, J. P.
4
1987
Unitary immersions of nonlinear systems. Zbl 0626.93028
Gauthier, J. P.; Guérin, J. P.
3
1986
Global realizations of analytic input-output mappings. Zbl 0602.93013
Gauthier, J. P.; Bornard, G.
3
1986
Existence of realizations of nonlinear analytic input-output maps. Zbl 0587.93016
Celle, F.; Gauthier, J. P.; Milani, E.
2
1986
Orthogonal representations of nonlinear systems and input-output maps. Zbl 0613.93012
Celle, F.; Gauthier, J. P.; Kazakos, D.
1
1986
Controllability of right invariant systems on real simple Lie groups. Zbl 0552.93010
Gauthier, J. P.; Kupka, I.; Sallet, G.
19
1984
Structure des systèmes non linéaires. (Structure of nonlinear systems). Zbl 0606.58001
Gauthier, Jean-Paul
4
1984
Existence and uniqueness of minimal realizations for a class of \(C^{\infty}\) systems. Zbl 0591.93013
Gauthier, J. P.; Bornard, G.
3
1984
Existence et unicité de réalisations analytiques minimales globales de systèmes non linéaires. (Existence and uniqueness of analytic minimal global realizations of nonlinear systems). Zbl 0571.93017
Gauthier, Jean-Paul; Bornard, Guy
1
1984
Uniqueness of weakly minimal analytic realizations. Zbl 0509.57024
Gauthier, J. P.; Bornard, G.
5
1983
Commande multivariable en presence de contraintes de type inégalité. Zbl 0518.93038
Gauthier, J. P.; Bornard, G.
4
1983
Controlabilité des systèmes bilinéaires. (Controllability of bilinear systems). Zbl 0579.93005
Gauthier, J.-P.; Bornard, G.
16
1982
An openness condition for the controllability of nonlinear systems. Zbl 0509.93015
Gauthier, J. P.; Bornard, G.
3
1982
Existence and uniqueness of minimal realizations in the \(C^\infty\) case. Zbl 0497.93014
Gauthier, J. P.; Bornard, G.
2
1982
Observability for any u(t) of a class of nonlinear systems. Zbl 0553.93014
Gauthier, J. P.; Bornard, G.
73
1981
Stabilisation des systèmes non linéaires. Zbl 0513.93045
Gauthier, J. P.; Bornard, G.
9
1981
all top 5

Cited by 937 Authors

35 Gauthier, Jean-Paul A.
24 Hammouri, Hassan
23 Boscain, Ugo
18 Farza, Mondher
14 M’Saad, Mohammed
13 Sachkov, Yuriĭ Leonidovich
12 Agrachev, Andreĭ Aleksandrovich
12 Duits, Remco
12 Vivalda, Jean-Claude
11 Besançon, Gildas
11 Praly, Laurent
10 Ahmed-Ali, Tarek
10 Andrieu, Vincent
10 Martinez-Guerra, Rafael
10 Sigalotti, Mario
10 Vaidyanathan, Sundarapandian
9 Barilari, Davide
9 Bonnard, Bernard
9 Lin, Wei
9 Ménard, Tomas
8 Karafyllis, Iasson
8 Tornambè, Antonio
7 Ammar, Sabeur
7 Boutat, Driss
7 Busvelle, Éric
7 Efimov, Denis V.
7 Giri, Fouad
7 Marconi, Lorenzo
7 Moreno, Jaime A.
7 Rizzi, Luca
7 Rossi, Francesco
7 Sarti, Alessandro
7 Trélat, Emmanuel
6 Busawon, Krishna K.
6 Citti, Giovanna
6 D’Alessandro, Domenico
6 Germani, Alfredo
6 Isidori, Alberto
6 Lamnabhi-Lagarrigue, Françoise
6 Prandi, Dario
6 Sallet, Gauthier
6 San Martin, Luiz Antonio Barrera
6 Shen, Yanjun
6 Tsinias, John
6 Xia, Xiaohua
6 Zemouche, Ali
5 Alessandri, Angelo
5 Barbot, Jean-Pierre
5 Bekkers, Erik J.
5 Bornard, Guy
5 Charlot, Grégoire
5 Ghezzi, Roberta
5 Jean, Frédéric
5 Jerbi, Hamadi
5 Kravaris, Costas
5 Kupka, Ivan A. K.
5 Mashtakov, Alexey P.
5 Mason, Paolo
5 Mazenc, Frédéric
5 Menini, Laura
5 Ortega, Romeo S.
5 Qian, Chunjiang
5 Serres, Ulysse
5 Teel, Andrew Richard
5 Xu, Cheng-Zhong
4 Bauer, Wolfram
4 Ben Abdennour, Ridha
4 Bernard, Pauline
4 Chyba, Monique
4 Defoort, Michael
4 El Assoudi-Baikari, Rachida
4 Furutani, Kenro
4 Gordina, Maria
4 Iggidr, Abderrahman
4 Iwasaki, Chisato
4 Kazantzis, Nikolaos K.
4 Khalil, Hassan K.
4 Lynch, Alan F.
4 Manes, Costanzo
4 Markina, Irina
4 Moulay, Emmanuel
4 Nadri, Madiha
4 Neel, Robert Weston
4 Nijmeijer, Henk
4 Perruquetti, Wilfrid
4 Possieri, Corrado
4 Rajamani, Rajesh
4 Shim, Hyungbo
4 Targui, Boubekeur
4 Vallarino, Maria
4 Veluvolu, Kalyana C.
4 Zakalyukin, Vladimir M.
3 Aguilar-López, Ricardo
3 Albertini, Francesca
3 Astolfi, Alessandro
3 Astolfi, Daniele
3 Baudoin, Fabrice
3 Boizot, Nicolas
3 Bouraoui, Ibtissem
3 Byrnes, Christopher Ian
...and 837 more Authors
all top 5

Cited in 144 Serials

99 Automatica
76 Systems & Control Letters
44 International Journal of Control
31 Journal of Dynamical and Control Systems
30 International Journal of Robust and Nonlinear Control
21 European Journal of Control
20 SIAM Journal on Control and Optimization
19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
18 Journal of the Franklin Institute
15 Applied Mathematics Letters
13 International Journal of Systems Science
13 MCSS. Mathematics of Control, Signals, and Systems
12 Journal of Mathematical Physics
11 Journal of Mathematical Imaging and Vision
10 Kybernetika
9 Journal of Mathematical Sciences (New York)
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Potential Analysis
5 Applied Mathematics and Computation
5 Mathematische Zeitschrift
5 Mathematical and Computer Modelling
5 Mathematical Problems in Engineering
4 Mathematical Biosciences
4 Journal of Differential Equations
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 International Journal of Adaptive Control and Signal Processing
4 Differential Geometry and its Applications
4 Automation and Remote Control
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Nonlinear Dynamics
4 Asian Journal of Control
3 Computers & Mathematics with Applications
3 Journal of Optimization Theory and Applications
3 Mathematics and Computers in Simulation
3 Mathematical Systems Theory
3 Siberian Mathematical Journal
3 Transactions of the American Mathematical Society
3 The Journal of Geometric Analysis
3 Applied and Computational Harmonic Analysis
3 Bulletin des Sciences Mathématiques
3 Communications in Nonlinear Science and Numerical Simulation
3 International Journal of Applied Mathematics and Computer Science
3 Differential Equations
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Proceedings of the Steklov Institute of Mathematics
3 Nonlinear Analysis. Hybrid Systems
3 Mathematical Control and Related Fields
3 Control Theory and Technology
3 International Journal of Systems Science. Principles and Applications of Systems and Integration
2 International Journal of Theoretical Physics
2 Mathematical Notes
2 Rocky Mountain Journal of Mathematics
2 Chaos, Solitons and Fractals
2 Journal of Geometry and Physics
2 Advances in Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Information Sciences
2 Journal of Functional Analysis
2 Proceedings of the American Mathematical Society
2 Stochastic Analysis and Applications
2 Revista Matemática Iberoamericana
2 Applied Mathematical Modelling
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Calculus of Variations and Partial Differential Equations
2 NoDEA. Nonlinear Differential Equations and Applications
2 Journal of Computational Neuroscience
2 Sbornik: Mathematics
2 The Journal of Fourier Analysis and Applications
2 Discrete and Continuous Dynamical Systems. Series B
2 Quantum Information Processing
2 Journal of the Institute of Mathematics of Jussieu
2 Advances in Difference Equations
2 Journal of Physics A: Mathematical and Theoretical
2 SIAM Journal on Imaging Sciences
1 Applicable Analysis
1 Biological Cybernetics
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 Mathematical Methods in the Applied Sciences
1 Russian Mathematical Surveys
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Fuzzy Sets and Systems
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of Soviet Mathematics
1 Mathematische Annalen
1 Meccanica
1 Memoirs of the American Mathematical Society
1 Numerische Mathematik
1 Pacific Journal of Mathematics
1 Semigroup Forum
1 Chinese Annals of Mathematics. Series B
...and 44 more Serials
all top 5

Cited in 47 Fields

513 Systems theory; control (93-XX)
97 Differential geometry (53-XX)
69 Calculus of variations and optimal control; optimization (49-XX)
54 Global analysis, analysis on manifolds (58-XX)
47 Ordinary differential equations (34-XX)
46 Partial differential equations (35-XX)
46 Biology and other natural sciences (92-XX)
41 Topological groups, Lie groups (22-XX)
35 Quantum theory (81-XX)
25 Dynamical systems and ergodic theory (37-XX)
18 Information and communication theory, circuits (94-XX)
17 Mechanics of particles and systems (70-XX)
14 Numerical analysis (65-XX)
14 Operations research, mathematical programming (90-XX)
13 Nonassociative rings and algebras (17-XX)
12 Computer science (68-XX)
10 Abstract harmonic analysis (43-XX)
8 Operator theory (47-XX)
8 Probability theory and stochastic processes (60-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Manifolds and cell complexes (57-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Optics, electromagnetic theory (78-XX)
3 Combinatorics (05-XX)
3 Real functions (26-XX)
3 Functional analysis (46-XX)
3 General topology (54-XX)
3 Statistics (62-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Number theory (11-XX)
2 Measure and integration (28-XX)
2 Special functions (33-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)
2 Fluid mechanics (76-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year