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Gauthier, Jean-Paul A.

Author ID: gauthier.jean-paul-a Recent zbMATH articles by "Gauthier, Jean-Paul A."
Published as: Gauthier, Jean-Paul; Gauthier, J. P.; Gauthier, J.-P.; Gauthier, Jean-Paul A.; Gauthier, J. P. A.; Gauthier, Jean- Paul; Gauthier, Jean Paul
Homepage: https://pageperso.lis-lab.fr/jean-paul.gauthier/
External Links: Math-Net.Ru
all top 5

Serials

12 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
4 Automatica
4 Proceedings of the Steklov Institute of Mathematics
3 Mathematical Systems Theory
3 Journal of Mathematical Imaging and Vision
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
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 Systems, Estimation, and Control
2 Journal of Mathematical Sciences (New York)
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 Progress in Systems and Control Theory
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 Open

100 Publications have been cited 1,405 times in 862 Documents Cited by Year
A simple observer for nonlinear systems applications to bioreactors. Zbl 0775.93020
Gauthier, J. P.; Hammouri, H.; Othman, S.
302
1992
Deterministic observation: theory and applications. Zbl 0990.93001
Gauthier, Jean-Paul; Kupka, Ivan
96
2001
Observability for any u(t) of a class of nonlinear systems. Zbl 0553.93014
Gauthier, J. P.; Bornard, G.
85
1981
Observability and observers for nonlinear systems. Zbl 0802.93008
Gauthier, J. P.; Kupka, I. A. K.
83
1994
The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups. Zbl 1165.58012
Agrachev, Andrei; Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco
67
2009
High gain estimation for nonlinear systems. Zbl 0779.93018
Deza, F.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D.
55
1992
An adaptive high-gain observer for nonlinear systems. Zbl 1201.93122
Boizot, Nicolas; Busvelle, Eric; Gauthier, Jean-Paul
42
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
39
2002
A separation principle for bilinear systems with dissipative drift. Zbl 0778.93102
Gauthier, J. P.; Kupka, I.
29
1992
Bilinearization up to output injection. Zbl 0648.93024
Hammouri, H.; Gauthier, J. P.
28
1988
Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems. Zbl 1306.81051
Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco; Sigalotti, Mario
25
2015
Small sub-Riemannian balls on \(\mathbf R^3\). Zbl 0941.53024
El Alaoui, El-Houcine Chakir; Gauthier, J.-P.; Kupka, I.
24
1996
Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002
Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O.
23
2014
On subsemigroups of semisimple Lie groups. Zbl 0848.93006
El Assoudi, R.; Gauthier, J. P.; Kupka, I. A. K.
21
1996
Synthesis of nonlinear observers: A harmonic-analysis approach. Zbl 0691.93005
Celle, F.; Gauthier, J. P.; Kazakos, D.; Sallet, G.
20
1989
Controllability of right invariant systems on real simple Lie groups. Zbl 0552.93010
Gauthier, J. P.; Kupka, I.; Sallet, G.
19
1984
Global time-varying linearization up to output injection. Zbl 0771.93033
Hammouri, H.; Gauthier, J. P.
18
1992
On the \(K+P\) problem for a three-level quantum system: Optimality implies resonance. Zbl 1022.53028
Boscain, U.; Chambrion, T.; Gauthier, J.-P.
17
2002
Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011
Boscain, Ugo; Duplaix, Jean; Gauthier, Jean-Paul; Rossi, Francesco
17
2012
Exponential observers for nonlinear systems. Zbl 0792.93046
Deza, F.; Bossanne, D.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D.
16
1993
Sub-Riemannian metrics on \(\mathbb{R}^3\). Zbl 0962.53022
Agrachev, A. A.; Chakir El-A., El-H.; Gauthier, J. P.
16
1998
On the subanalyticity of Carnot-Carathéodory distances. Zbl 1001.93014
Agrachev, Andrei; Gauthier, Jean-Paul
16
2001
Controlabilité des systèmes bilinéaires. (Controllability of bilinear systems). Zbl 0579.93005
Gauthier, J.-P.; Bornard, G.
16
1982
On the motion planning problem, complexity, entropy, and nonholonomic interpolation. Zbl 1121.53025
Gauthier, Jean-Paul; Zakalyukin, Vladimir
15
2006
Observability for systems with more outputs than inputs and asymptotic observers. Zbl 0863.93008
Gauthier, J. P.; Kupka, I. A. K.
14
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
Finite singularities of nonlinear systems. Output stabilization, observability, and observers. Zbl 0944.93026
Jouan, P.; Gauthier, J.-P.
12
1996
An observer for infinite-dimensional dissipative bilinear systems. Zbl 0829.93006
Xu, C.-Z.; Ligarius, P.; Gauthier, J.-P.
12
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
On the codimension one motion planning problem. Zbl 1079.53049
Gauthier, J.-P.; Zakalyukin, V.
9
2005
Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups. Zbl 1309.58001
Boscain, U.; Gauthier, J.-P.; Rossi, F.
9
2014
On the Dido problem and plane isoperimetric problems. Zbl 0977.53068
Agrachev, Andrei A.; Gauthier, Jean-Paul A.
8
1999
Observation and identification tools for nonlinear systems: application to a fluid catalytic cracker. Zbl 1074.93507
Busvelle, Eric; Gauthier, Jean-Paul
8
2005
On the one-step-Bracket-Generating motion planning problem. Zbl 1069.53032
Gauthier, J.-P.; Zakalyukin, V.
8
2005
On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064
Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul
7
2012
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
Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004
Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey
7
2018
Asymptotic ensemble stabilizability of the Bloch equation. Zbl 1386.93253
Chittaro, Francesca C.; Gauthier, Jean-Paul
6
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
6
2018
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
Image processing in the semidiscrete group of rototranslations. Zbl 1406.94005
Prandi, Dario; Boscain, Ugo; Gauthier, Jean-Paul
6
2015
Stabilisation des systèmes non linéaires. Zbl 0513.93045
Gauthier, J. P.; Bornard, G.
6
1981
H\({}^{\infty}\)-control of a distributed parameter system with non- minimum phase. Zbl 0724.93028
Gauthier, J. P.; Xu, C. Z.
6
1991
Sub-Riemannian metrics and isoperimetric problems in the contact case. Zbl 1008.53019
Agrachev, A. A.; Gauthier, J. P. A.
5
2001
Observabilité et observateurs de systèmes non linéaires. (Observability and observers for nonlinear systems). Zbl 0635.93013
Gauthier, J. P.; Kazakos, D.
5
1988
Realizations of nonlinear analytic input-output maps. Zbl 0638.93016
Celle, F.; Gauthier, J. P.
5
1987
Uniqueness of weakly minimal analytic realizations. Zbl 0509.57024
Gauthier, J. P.; Bornard, G.
5
1983
Motion planning and fastly oscillating controls. Zbl 1206.53035
Gauthier, Jean-Paul; Jakubczyk, Bronisław; Zakalyukin, Vladimir
5
2010
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
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
High-gain and non-high-gain observers for nonlinear systems. Zbl 1175.93047
Busvelle, E.; Gauthier, J. P.
4
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
4
1996
Global realizations of analytic input-output mappings. Zbl 0602.93013
Gauthier, J. P.; Bornard, G.
4
1986
Luenberger observers for infinite-dimensional systems, back and forth nudging, and application to a crystallization process. Zbl 1459.93056
Brivadis, Lucas; Andrieu, Vincent; Serres, Ulysse; Gauthier, Jean-Paul
4
2021
Motion planning for kinematic systems. Zbl 1369.93409
Boizot, Nicolas; Gauthier, Jean-Paul
4
2013
An openness condition for the controllability of nonlinear systems. Zbl 0509.93015
Gauthier, J. P.; Bornard, G.
4
1982
Commande multivariable en presence de contraintes de type inégalité. Zbl 0518.93038
Gauthier, J. P.; Bornard, G.
4
1983
On the motion planning of the ball with a trailer. Zbl 1273.49003
Boizot, Nicolas; Gauthier, Jean-Paul
4
2013
Motions and pattern analysis: Harmonic analysis on motion groups and their homogeneous spaces. Zbl 0712.42020
Gauthier, Jean-Paul; Bornard, Guy; Silbermann, Martine
4
1991
A stable control structure for binary distillation columns. Zbl 0886.93045
Viel, F.; Busvelle, E.; Gauthier, J. P.
3
1997
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
3
1989
Generalized Fourier descriptors with applications to objects recognition in SVM context. Zbl 1523.68119
Smach, Fethi; Lemaître, Cedric; Gauthier, Jean-Paul; Miteran, Johel; Atri, Mohamed
3
2008
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
Existence and uniqueness of minimal realizations for a class of \(C^{\infty}\) systems. Zbl 0591.93013
Gauthier, J. P.; Bornard, G.
3
1984
Structure des systèmes non linéaires. (Structure of nonlinear systems). Zbl 0606.58001
Gauthier, Jean-Paul
3
1984
Unitary immersions of nonlinear systems. Zbl 0626.93028
Gauthier, J. P.; Guérin, J. P.
3
1986
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
3
2014
Weak stabilizability of infinite dimensional nonlinear systems. Zbl 0722.93058
Bounabat, Abdellah; Gauthier, Jean-Paul
3
1991
How humans fly. Zbl 1280.93038
Ajami, Alain; Gauthier, Jean-Paul; Maillot, Thibault; Serres, Ulysse
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
Geometric time optimal control in batch reactors. Zbl 0800.49025
Bonnard, B.; Gauthier, J. P.; de Morant, J.
2
1991
A simple observer for distributed systems: Application to a heat exchanger. Zbl 0924.93006
Ligarius, Ph.; Gauthier, J.-P.; Xu, C. Z.
2
1998
Controllability of right-invariant systems on semisimple Lie groups. Zbl 0682.93009
El Assoudi, R.; Gauthier, J. P.
2
1989
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
2
2008
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
2
2002
Robot motion planning: a wild case. Zbl 1138.70316
Gauthier, J. P.; Zakalyukin, V. M.
2
2005
Genericity of observability and the existence of asymptotic observers. Zbl 0839.93020
Gauthier, J. P.; Kupka, I. A. K.
2
1995
Emergence of travelling waves in smooth nerve fibres. Zbl 1148.92006
Jacquir, S.; Binczaķ, S.; Gauthier, J. P.; Bilbault, J. M.
2
2008
Existence of realizations of nonlinear analytic input-output maps. Zbl 0587.93016
Celle, F.; Gauthier, J. P.; Milani, E.
2
1986
New perspectives on output feedback stabilization at an unobservable target. Zbl 1478.93498
Brivadis, Lucas; Gauthier, Jean-Paul; Sacchelli, Ludovic; Serres, Ulysse
2
2021
From local to global asymptotic stabilizability for weakly contractive control systems. Zbl 1461.93411
Brivadis, Lucas; Sacchelli, Ludovic; Andrieu, Vincent; Gauthier, Jean-Paul; Serres, Ulysse
2
2021
Dynamic output stabilization of control systems: an unobservable kinematic drone model. Zbl 1467.93256
Ajami, Alain; Gauthier, Jean-Paul; Sacchelli, Ludovic
2
2021
Avoiding observability singularities in output feedback bilinear systems. Zbl 1467.93045
Brivadis, Lucas; Gauthier, Jean-Paul A.; Sacchelli, Ludovic; Serres, Ulysse
2
2021
How humans control arm movements. Zbl 1236.93012
Berret, B.; Gauthier, J.-P.; Papaxanthis, C.
2
2008
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
2
2017
Lyapunov and minimum-time path planning for drones. Zbl 1328.93205
Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse
2
2015
Existence and uniqueness of minimal realizations in the \(C^\infty\) case. Zbl 0497.93014
Gauthier, J. P.; Bornard, G.
2
1982
Theory of dynamic observers for a class of nonlinear system. Zbl 0672.93012
Gauthier, J. P.; Celle, F.
1
1988
Entropy estimations for motion planning problems in robotics. Zbl 1152.93045
Gauthier, J.-P.; Zakalyukin, V. M.
1
2007
Sub-Riemannian metrics and isoperimetric problems in contact case. Zbl 0986.53009
Agrachev, A. A.; Gauthier, J. P. A.
1
1999
Optimal control of the Schrödinger equation with two or three levels. Zbl 1009.93060
Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul
1
2003
Orthogonal representations of nonlinear systems and input-output maps. Zbl 0613.93012
Celle, F.; Gauthier, J. P.; Kazakos, D.
1
1986
A universal gap for non-spin quantum control systems. Zbl 1457.81052
Gauthier, Jean-Paul; Rossi, Francesco
1
2021
Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. Zbl 1486.68227
Boscain, Ugo; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey
1
2018
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
A biomechanical inactivation principle. Zbl 1218.92012
Gauthier, Jean-Paul; Berret, Bastien; Jean, Frédéric
1
2010
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
Un résultat de stabilité des filtres de Kalman étendu continu- continu et continu-discret. (A stability result on the continuous- continuous and continuous-discrete extended Kalman filters). Zbl 0760.93076
Deza, François; Busvelle, Éric; Gauthier, Jean-Paul; Rakotopara, Daniel
1
1992
Generic singularities of the 3D-contact sub-Riemannian conjugate locus. (Singularités génériques du lieu conjugé en géométrie sous-riemannienne dans le cas 3D-contact.) Zbl 1485.53037
Bonnet, Benoît; Gauthier, Jean-Paul; Rossi, Francesco
1
2019
Luenberger observers for infinite-dimensional systems, back and forth nudging, and application to a crystallization process. Zbl 1459.93056
Brivadis, Lucas; Andrieu, Vincent; Serres, Ulysse; Gauthier, Jean-Paul
4
2021
New perspectives on output feedback stabilization at an unobservable target. Zbl 1478.93498
Brivadis, Lucas; Gauthier, Jean-Paul; Sacchelli, Ludovic; Serres, Ulysse
2
2021
From local to global asymptotic stabilizability for weakly contractive control systems. Zbl 1461.93411
Brivadis, Lucas; Sacchelli, Ludovic; Andrieu, Vincent; Gauthier, Jean-Paul; Serres, Ulysse
2
2021
Dynamic output stabilization of control systems: an unobservable kinematic drone model. Zbl 1467.93256
Ajami, Alain; Gauthier, Jean-Paul; Sacchelli, Ludovic
2
2021
Avoiding observability singularities in output feedback bilinear systems. Zbl 1467.93045
Brivadis, Lucas; Gauthier, Jean-Paul A.; Sacchelli, Ludovic; Serres, Ulysse
2
2021
A universal gap for non-spin quantum control systems. Zbl 1457.81052
Gauthier, Jean-Paul; Rossi, Francesco
1
2021
Generic singularities of the 3D-contact sub-Riemannian conjugate locus. (Singularités génériques du lieu conjugé en géométrie sous-riemannienne dans le cas 3D-contact.) Zbl 1485.53037
Bonnet, Benoît; Gauthier, Jean-Paul; Rossi, Francesco
1
2019
Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004
Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey
7
2018
Asymptotic ensemble stabilizability of the Bloch equation. Zbl 1386.93253
Chittaro, Francesca C.; Gauthier, Jean-Paul
6
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
6
2018
Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. Zbl 1486.68227
Boscain, Ugo; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey
1
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
2
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
25
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
2
2015
Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002
Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O.
23
2014
Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups. Zbl 1309.58001
Boscain, U.; Gauthier, J.-P.; Rossi, F.
9
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
3
2014
Motion planning for kinematic systems. Zbl 1369.93409
Boizot, Nicolas; Gauthier, Jean-Paul
4
2013
On the motion planning of the ball with a trailer. Zbl 1273.49003
Boizot, Nicolas; Gauthier, Jean-Paul
4
2013
How humans fly. Zbl 1280.93038
Ajami, Alain; Gauthier, Jean-Paul; Maillot, Thibault; Serres, Ulysse
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
Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011
Boscain, Ugo; Duplaix, Jean; Gauthier, Jean-Paul; Rossi, Francesco
17
2012
On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064
Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul
7
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
42
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
67
2009
Generalized Fourier descriptors with applications to objects recognition in SVM context. Zbl 1523.68119
Smach, Fethi; Lemaître, Cedric; Gauthier, Jean-Paul; Miteran, Johel; Atri, Mohamed
3
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
2
2008
Emergence of travelling waves in smooth nerve fibres. Zbl 1148.92006
Jacquir, S.; Binczaķ, S.; Gauthier, J. P.; Bilbault, J. M.
2
2008
How humans control arm movements. Zbl 1236.93012
Berret, B.; Gauthier, J.-P.; Papaxanthis, C.
2
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
15
2006
On the codimension one motion planning problem. Zbl 1079.53049
Gauthier, J.-P.; Zakalyukin, V.
9
2005
Observation and identification tools for nonlinear systems: application to a fluid catalytic cracker. Zbl 1074.93507
Busvelle, Eric; Gauthier, Jean-Paul
8
2005
On the one-step-Bracket-Generating motion planning problem. Zbl 1069.53032
Gauthier, J.-P.; Zakalyukin, V.
8
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
1
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
39
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.
17
2002
High-gain and non-high-gain observers for nonlinear systems. Zbl 1175.93047
Busvelle, E.; Gauthier, J. P.
4
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
2
2002
Deterministic observation: theory and applications. Zbl 0990.93001
Gauthier, Jean-Paul; Kupka, Ivan
96
2001
On the subanalyticity of Carnot-Carathéodory distances. Zbl 1001.93014
Agrachev, Andrei; Gauthier, Jean-Paul
16
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.
8
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.
16
1998
A simple observer for distributed systems: Application to a heat exchanger. Zbl 0924.93006
Ligarius, Ph.; Gauthier, J.-P.; Xu, C. Z.
2
1998
A stable control structure for binary distillation columns. Zbl 0886.93045
Viel, F.; Busvelle, E.; Gauthier, J. P.
3
1997
Small sub-Riemannian balls on \(\mathbf R^3\). Zbl 0941.53024
El Alaoui, El-Houcine Chakir; Gauthier, J.-P.; Kupka, I.
24
1996
On subsemigroups of semisimple Lie groups. Zbl 0848.93006
El Assoudi, R.; Gauthier, J. P.; Kupka, I. A. K.
21
1996
Observability for systems with more outputs than inputs and asymptotic observers. Zbl 0863.93008
Gauthier, J. P.; Kupka, I. A. K.
14
1996
Finite singularities of nonlinear systems. Output stabilization, observability, and observers. Zbl 0944.93026
Jouan, P.; Gauthier, J.-P.
12
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
4
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.
12
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.
83
1994
Exponential observers for nonlinear systems. Zbl 0792.93046
Deza, F.; Bossanne, D.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D.
16
1993
A simple observer for nonlinear systems applications to bioreactors. Zbl 0775.93020
Gauthier, J. P.; Hammouri, H.; Othman, S.
302
1992
High gain estimation for nonlinear systems. Zbl 0779.93018
Deza, F.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D.
55
1992
A separation principle for bilinear systems with dissipative drift. Zbl 0778.93102
Gauthier, J. P.; Kupka, I.
29
1992
Global time-varying linearization up to output injection. Zbl 0771.93033
Hammouri, H.; Gauthier, J. P.
18
1992
Un résultat de stabilité des filtres de Kalman étendu continu- continu et continu-discret. (A stability result on the continuous- continuous and continuous-discrete extended Kalman filters). Zbl 0760.93076
Deza, François; Busvelle, Éric; Gauthier, Jean-Paul; Rakotopara, Daniel
1
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
Motions and pattern analysis: Harmonic analysis on motion groups and their homogeneous spaces. Zbl 0712.42020
Gauthier, Jean-Paul; Bornard, Guy; Silbermann, Martine
4
1991
Weak stabilizability of infinite dimensional nonlinear systems. Zbl 0722.93058
Bounabat, Abdellah; Gauthier, Jean-Paul
3
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.
20
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
3
1989
Controllability of right-invariant systems on semisimple Lie groups. Zbl 0682.93009
El Assoudi, R.; Gauthier, J. P.
2
1989
Bilinearization up to output injection. Zbl 0648.93024
Hammouri, H.; Gauthier, J. P.
28
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.
5
1987
Global realizations of analytic input-output mappings. Zbl 0602.93013
Gauthier, J. P.; Bornard, G.
4
1986
Unitary immersions of nonlinear systems. Zbl 0626.93028
Gauthier, J. P.; Guérin, J. P.
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
Existence and uniqueness of minimal realizations for a class of \(C^{\infty}\) systems. Zbl 0591.93013
Gauthier, J. P.; Bornard, G.
3
1984
Structure des systèmes non linéaires. (Structure of nonlinear systems). Zbl 0606.58001
Gauthier, Jean-Paul
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.
4
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.
85
1981
Stabilisation des systèmes non linéaires. Zbl 0513.93045
Gauthier, J. P.; Bornard, G.
6
1981
all top 5

Cited by 1,169 Authors

39 Gauthier, Jean-Paul A.
29 Boscain, Ugo
22 Hammouri, Hassan
19 Farza, Mondher
17 Sachkov, Yuriĭ Leonidovich
15 Besançon, Gildas
15 M’Saad, Mohammed
14 Duits, Remco
13 Sigalotti, Mario
12 Agrachev, Andreĭ Aleksandrovich
12 Ahmed-Ali, Tarek
12 Andrieu, Vincent
12 Tornambè, Antonio
12 Vivalda, Jean-Claude
11 Barilari, Davide
11 Ménard, Tomas
11 Praly, Laurent
10 Bonnard, Bernard
10 Giri, Fouad
10 Prandi, Dario
10 Vaidyanathan, Sundarapandian
9 Lin, Wei
9 Martinez-Guerra, Rafael
9 Possieri, Corrado
9 Sacchelli, Ludovic
8 Busvelle, Éric
8 Karafyllis, Iasson
8 Marconi, Lorenzo
8 Menini, Laura
8 Serres, Ulysse
8 Shen, Yanjun
8 Trélat, Emmanuel
8 Xia, Xiaohua
7 Ammar, Sabeur
7 Barbot, Jean-Pierre
7 Bernard, Pauline
7 Boutat, Driss
7 Efimov, Denis V.
7 Iggidr, Abderrahman
7 Isidori, Alberto
7 Rizzi, Luca
7 Rossi, Francesco
7 San Martin, Luiz Antonio Barrera
7 Sarti, Alessandro
7 Vallarino, Maria
7 Zemouche, Ali
6 Bekkers, Erik J.
6 Bruno, Tommaso
6 Charlot, Grégoire
6 Citti, Giovanna
6 D’Alessandro, Domenico
6 Germani, Alfredo
6 Lamnabhi-Lagarrigue, Françoise
6 Mashtakov, Alexey P.
6 Moreno, Jaime A.
6 Ortega, Romeo S.
6 Tsinias, John
5 Alessandri, Angelo
5 Astolfi, Daniele
5 Bauer, Wolfram
5 Boizot, Nicolas
5 Bornard, Guy
5 Brivadis, Lucas
5 Busawon, Krishna K.
5 Defoort, Michael
5 Duca, Alessandro
5 Ghezzi, Roberta
5 Jean, Frédéric
5 Mason, Paolo
5 Mazenc, Frédéric
5 Moulay, Emmanuel
5 Pechen, Alexander Nikolaevich
5 Peloso, Marco Maria
5 Perruquetti, Wilfrid
5 Prieur, Christophe
5 Qian, Chunjiang
5 Sallet, Gauthier
5 Teel, Andrew Richard
5 Xu, Cheng-Zhong
4 Ben Abdennour, Ridha
4 Chittaro, Francesca C.
4 Chyba, Monique
4 Coirault, Patrick
4 El Assoudi-Baikari, Rachida
4 Fridman, Leonid M.
4 Furutani, Kenro
4 Glumineau, Alain
4 Gordina, Maria
4 Hammami, Mohamed Ali
4 Iwasaki, Chisato
4 Jerbi, Hamadi
4 Jouan, Philippe
4 Khalil, Hassan K.
4 Kravaris, Costas
4 Kupka, Ivan A. K.
4 Lynch, Alan F.
4 Ma, Tong
4 Manes, Costanzo
4 Markina, Irina
4 Nadri, Madiha
...and 1,069 more Authors
all top 5

Cited in 175 Serials

109 Automatica
81 Systems & Control Letters
56 International Journal of Control
46 International Journal of Robust and Nonlinear Control
32 Journal of Dynamical and Control Systems
24 Journal of the Franklin Institute
23 SIAM Journal on Control and Optimization
22 European Journal of Control
21 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
17 Journal of Mathematical Imaging and Vision
15 MCSS. Mathematics of Control, Signals, and Systems
13 International Journal of Systems Science
13 Applied Mathematics Letters
12 Journal of Mathematical Physics
12 Kybernetika
10 International Journal of Systems Science. Principles and Applications of Systems and Integration
9 Journal of Mathematical Sciences (New York)
8 Potential Analysis
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Proceedings of the Steklov Institute of Mathematics
7 Mathematical Control and Related Fields
6 Automation and Remote Control
6 Asian Journal of Control
5 Applied Mathematics and Computation
5 Mathematics and Computers in Simulation
5 Mathematische Zeitschrift
5 Mathematical and Computer Modelling
5 International Journal of Adaptive Control and Signal Processing
5 The Journal of Geometric Analysis
5 Bulletin des Sciences Mathématiques
5 Mathematical Problems in Engineering
5 Journal of Physics A: Mathematical and Theoretical
4 Mathematical Biosciences
4 Journal of Differential Equations
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Differential Geometry and its Applications
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Journal of Lie Theory
4 Nonlinear Dynamics
4 Communications in Nonlinear Science and Numerical Simulation
4 Nonlinear Analysis. Hybrid Systems
4 SIAM Journal on Imaging Sciences
3 Computers & Mathematics with Applications
3 International Journal of Theoretical Physics
3 Chaos, Solitons and Fractals
3 Advances in Mathematics
3 Information Sciences
3 Journal of Functional Analysis
3 Journal of Optimization Theory and Applications
3 Mathematical Systems Theory
3 Proceedings of the American Mathematical Society
3 Siberian Mathematical Journal
3 Transactions of the American Mathematical Society
3 Archives of Control Sciences
3 Applied and Computational Harmonic Analysis
3 Sbornik: Mathematics
3 Doklady Mathematics
3 International Journal of Applied Mathematics and Computer Science
3 Lobachevskii Journal of Mathematics
3 Differential Equations
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Quantum Information Processing
3 Control Theory and Technology
2 Journal of Mathematical Analysis and Applications
2 Mathematical Notes
2 Rocky Mountain Journal of Mathematics
2 Russian Mathematical Surveys
2 Journal of Geometry and Physics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Archiv der Mathematik
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 The Journal of Fourier Analysis and Applications
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of the Institute of Mathematics of Jussieu
2 Advances in Difference Equations
2 Discrete and Continuous Dynamical Systems. Series S
2 Advances in Calculus of Variations
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 Biology
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 Physics Letters. A
1 Annales de l’Institut Fourier
1 Applied Mathematics and Optimization
1 Fuzzy Sets and Systems
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 International Journal of Game Theory
...and 75 more Serials
all top 5

Cited in 48 Fields

614 Systems theory; control (93-XX)
123 Differential geometry (53-XX)
84 Calculus of variations and optimal control; optimization (49-XX)
72 Partial differential equations (35-XX)
61 Global analysis, analysis on manifolds (58-XX)
55 Ordinary differential equations (34-XX)
55 Biology and other natural sciences (92-XX)
54 Topological groups, Lie groups (22-XX)
51 Quantum theory (81-XX)
33 Dynamical systems and ergodic theory (37-XX)
28 Mechanics of particles and systems (70-XX)
25 Information and communication theory, circuits (94-XX)
23 Computer science (68-XX)
21 Abstract harmonic analysis (43-XX)
20 Numerical analysis (65-XX)
16 Nonassociative rings and algebras (17-XX)
13 Operations research, mathematical programming (90-XX)
12 Operator theory (47-XX)
11 Manifolds and cell complexes (57-XX)
10 Probability theory and stochastic processes (60-XX)
9 Functional analysis (46-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Optics, electromagnetic theory (78-XX)
6 Real functions (26-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Geometry (51-XX)
3 Combinatorics (05-XX)
3 Group theory and generalizations (20-XX)
3 Measure and integration (28-XX)
3 Integral equations (45-XX)
3 General topology (54-XX)
3 Statistics (62-XX)
2 Number theory (11-XX)
2 Special functions (33-XX)
2 Algebraic topology (55-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Geophysics (86-XX)
1 Mathematical logic and foundations (03-XX)
1 Commutative algebra (13-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year