Edit Profile (opens in new tab) Gauthier, Jean-Paul A. Co-Author Distance Author ID: 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 more...less Homepage: https://pageperso.lis-lab.fr/jean-paul.gauthier/ External Links: Math-Net.Ru Documents Indexed: 120 Publications since 1976, including 4 Books and 2 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 72 Co-Authors with 118 Joint Publications 647 Co-Co-Authors 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 8 Rossi, Francesco 8 Serres, Ulysse 7 Brivadis, Lucas 7 Sacchelli, Ludovic 6 Prandi, Dario 4 Andrieu, Vincent 4 Bonnard, Bernard 4 Charlot, Grégoire 4 Deza, François 4 El Assoudi, R. 4 Rakotopara, Daniel 4 Remizov, Alexey O. 3 Ajami, Alain 3 Boizot, Nicolas 3 Chertovskih, Roman A. 3 Gourd, François 3 Hammouri, Hassan 3 Monroy-Pérez, Felipe 3 Sallet, Gauthier 2 Berret, Bastien 2 Bossanne, Denis 2 Bounabat, Abdellah 2 Darmet, Charles 2 Duplaix, Jean 2 El Alaoui, El-Houcine Chakir 2 Lafont, Frederic 2 Lemaître, Cedric 2 Ligarius, Philippe 2 Maillot, Thibault 2 Mitéran, Johel 2 Sigalotti, Mario 2 Smach, Fethi 2 Viel, F. 1 Anzaldo-Meneses, Alfonso 1 Assoudi, Rachida El 1 Atri, Mohamed 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 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, Philippe 1 Methnani, Salowa 1 Nougaret, Marcel 1 Papaxanthis, C. 1 Pessel, Nathalie 1 Romero-Meléndez, Cutberto 1 Saint-Val 1 Sarychev, Andrey V. 1 Silbermann, Martine 1 Stefani, Gianna all top 5 Serials 12 SIAM Journal on Control and Optimization 8 Journal of Dynamical and Control Systems 7 IEEE Transactions on Automatic Control 7 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 Physica D 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 all top 5 Fields 81 Systems theory; control (93-XX) 31 Differential geometry (53-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 16 Global analysis, analysis on manifolds (58-XX) 13 Topological groups, Lie groups (22-XX) 12 Biology and other natural sciences (92-XX) 10 Abstract harmonic analysis (43-XX) 10 Information and communication theory, circuits (94-XX) 8 Ordinary differential equations (34-XX) 8 Computer science (68-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Manifolds and cell complexes (57-XX) 6 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 4 Partial differential equations (35-XX) 3 General and overarching topics; collections (00-XX) 3 Nonassociative rings and algebras (17-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 102 Publications have been cited 1,506 times in 936 Documents Cited by ▼ Year ▼ A simple observer for nonlinear systems applications to bioreactors. Zbl 0775.93020 Gauthier, J. P.; Hammouri, H.; Othman, S. 326 1992 Deterministic observation: theory and applications. Zbl 0990.93001 Gauthier, Jean-Paul; Kupka, Ivan 108 2001 Observability for any u(t) of a class of nonlinear systems. Zbl 0553.93014 Gauthier, J. P.; Bornard, G. 87 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 73 2009 High gain estimation for nonlinear systems. Zbl 0779.93018 Deza, F.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D. 58 1992 An adaptive high-gain observer for nonlinear systems. Zbl 1201.93122 Boizot, Nicolas; Busvelle, Eric; Gauthier, Jean-Paul 50 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 35 2002 A separation principle for bilinear systems with dissipative drift. Zbl 0778.93102 Gauthier, J. P.; Kupka, I. 31 1992 Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems. Zbl 1306.81051 Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco; Sigalotti, Mario 28 2015 Bilinearization up to output injection. Zbl 0648.93024 Hammouri, H.; Gauthier, J. P. 28 1988 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. 22 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. 21 1989 Controllability of right invariant systems on real simple Lie groups. Zbl 0552.93010 Gauthier, J. P.; Kupka, I.; Sallet, G. 19 1984 On the subanalyticity of Carnot-Carathéodory distances. Zbl 1001.93014 Agrachev, Andrei; Gauthier, Jean-Paul 18 2001 On the \(K+P\) problem for a three-level quantum system: Optimality implies resonance. Zbl 1022.53028 Boscain, U.; Chambrion, T.; Gauthier, J.-P. 18 2002 Exponential observers for nonlinear systems. Zbl 0792.93046 Deza, F.; Bossanne, D.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D. 17 1993 Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011 Boscain, Ugo; Duplaix, Jean; Gauthier, Jean-Paul; Rossi, Francesco 17 2012 Controlabilité des systèmes bilinéaires. (Controllability of bilinear systems). Zbl 0579.93005 Gauthier, J.-P.; Bornard, G. 16 1982 Global time-varying linearization up to output injection. Zbl 0771.93033 Hammouri, H.; Gauthier, J. P. 16 1992 Sub-Riemannian metrics on \(\mathbb{R}^3\). Zbl 0962.53022 Agrachev, A. A.; Chakir El-A., El-H.; Gauthier, J. P. 16 1998 An observer for infinite-dimensional dissipative bilinear systems. Zbl 0829.93006 Xu, C.-Z.; Ligarius, P.; Gauthier, J.-P. 14 1995 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 Stabilisation des systèmes non linéaires. Zbl 0513.93045 Gauthier, J. P.; Bornard, G. 13 1981 Finite singularities of nonlinear systems. Output stabilization, observability, and observers. Zbl 0944.93026 Jouan, P.; Gauthier, J.-P. 13 1996 On the motion planning problem, complexity, entropy, and nonholonomic interpolation. Zbl 1121.53025 Gauthier, Jean-Paul; Zakalyukin, Vladimir 13 2006 Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups. Zbl 1309.58001 Boscain, U.; Gauthier, J.-P.; Rossi, F. 10 2014 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 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 the Dido problem and plane isoperimetric problems. Zbl 0977.53068 Agrachev, Andrei A.; Gauthier, Jean-Paul A. 8 1999 Asymptotic ensemble stabilizability of the Bloch equation. Zbl 1386.93253 Chittaro, Francesca C.; Gauthier, Jean-Paul 8 2018 On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064 Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul 8 2012 An observer for infinite-dimensional skew-adjoint bilinear systems. Zbl 0832.93008 Gauthier, J. P.; Xu, C. Z.; Bounabat, A. 7 1995 Structure des systèmes non linéaires. (Structure of nonlinear systems). Zbl 0606.58001 Gauthier, Jean-Paul 7 1984 Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004 Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 7 2018 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 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 7 2008 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 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 H\({}^{\infty}\)-control of a distributed parameter system with non- minimum phase. Zbl 0724.93028 Gauthier, J. P.; Xu, C. Z. 6 1991 Image processing in the semidiscrete group of rototranslations. Zbl 1406.94005 Prandi, Dario; Boscain, Ugo; Gauthier, Jean-Paul 6 2015 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 6 2011 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 Motion planning and fastly oscillating controls. Zbl 1206.53035 Gauthier, Jean-Paul; Jakubczyk, Bronisław; Zakalyukin, Vladimir 5 2010 Uniqueness of weakly minimal analytic realizations. Zbl 0509.57024 Gauthier, J. P.; Bornard, G. 5 1983 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 5 2021 Observabilité et observateurs de systèmes non linéaires. (Observability and observers for nonlinear systems). Zbl 0635.93013 Gauthier, J. P.; Kazakos, D. 5 1988 Sub-Riemannian metrics and isoperimetric problems in the contact case. Zbl 1008.53019 Agrachev, A. A.; Gauthier, J. P. A. 5 2001 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 An openness condition for the controllability of nonlinear systems. Zbl 0509.93015 Gauthier, J. P.; Bornard, G. 4 1982 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 Commande multivariable en presence de contraintes de type inégalité. Zbl 0518.93038 Gauthier, J. P.; Bornard, G. 4 1983 How humans control arm movements. Zbl 1236.93012 Berret, B.; Gauthier, J.-P.; Papaxanthis, C. 4 2008 High-gain and non-high-gain observers for nonlinear systems. Zbl 1175.93047 Busvelle, E.; Gauthier, J. P. 4 2002 Existence and uniqueness of minimal realizations for a class of \(C^{\infty}\) systems. Zbl 0591.93013 Gauthier, J. P.; Bornard, G. 3 1984 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 A stable control structure for binary distillation columns. Zbl 0886.93045 Viel, F.; Busvelle, E.; Gauthier, J. P. 3 1997 Motion planning for kinematic systems. Zbl 1369.93409 Boizot, Nicolas; Gauthier, Jean-Paul 3 2013 Global realizations of analytic input-output mappings. Zbl 0602.93013 Gauthier, J. P.; Bornard, G. 3 1986 Realizations of nonlinear analytic input-output maps. Zbl 0638.93016 Celle, F.; Gauthier, J. P. 3 1987 How humans fly. Zbl 1280.93038 Ajami, Alain; Gauthier, Jean-Paul; Maillot, Thibault; Serres, Ulysse 3 2013 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 On the spherical Hausdorff measure in step 2 corank 2 sub-Riemannian geometry. Zbl 1318.53021 Boscain, Ugo; Gauthier, Jean-Paul 3 2013 Unitary immersions of nonlinear systems. Zbl 0626.93028 Gauthier, J. P.; Guérin, J. P. 3 1986 Weak stabilizability of infinite dimensional nonlinear systems. Zbl 0722.93058 Bounabat, Abdellah; Gauthier, Jean-Paul 3 1991 Dynamic output stabilization of control systems: an unobservable kinematic drone model. Zbl 1467.93256 Ajami, Alain; Gauthier, Jean-Paul; Sacchelli, Ludovic 3 2021 Controllability of right-invariant systems on semisimple Lie groups. Zbl 0682.93009 El Assoudi, R.; Gauthier, J. P. 3 1989 New perspectives on output feedback stabilization at an unobservable target. Zbl 1478.93498 Brivadis, Lucas; Gauthier, Jean-Paul; Sacchelli, Ludovic; Serres, Ulysse 3 2021 Genericity of observability and the existence of asymptotic observers. Zbl 0839.93020 Gauthier, J. P.; Kupka, I. A. K. 2 1995 Existence and uniqueness of minimal realizations in the \(C^\infty\) case. Zbl 0497.93014 Gauthier, J. P.; Bornard, G. 2 1982 Existence of realizations of nonlinear analytic input-output maps. Zbl 0587.93016 Celle, F.; Gauthier, J. P.; Milani, E. 2 1986 Geometric time optimal control in batch reactors. Zbl 0800.49025 Bonnard, B.; Gauthier, J. P.; de Morant, J. 2 1991 A universal gap for non-spin quantum control systems. Zbl 1457.81052 Gauthier, Jean-Paul; Rossi, Francesco 2 2021 Lyapunov and minimum-time path planning for drones. Zbl 1328.93205 Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse 2 2015 A simple observer for distributed systems: Application to a heat exchanger. Zbl 0924.93006 Ligarius, Ph.; Gauthier, J.-P.; Xu, C. Z. 2 1998 Sub-Riemannian metrics and isoperimetric problems in contact case. Zbl 0986.53009 Agrachev, A. A.; Gauthier, J. P. A. 2 1999 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 Emergence of travelling waves in smooth nerve fibres. Zbl 1148.92006 Jacquir, S.; Binczaķ, S.; Gauthier, J. P.; Bilbault, J. M. 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 2 2008 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 Avoiding observability singularities in output feedback bilinear systems. Zbl 1467.93045 Brivadis, Lucas; Gauthier, Jean-Paul A.; Sacchelli, Ludovic; Serres, Ulysse 2 2021 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 2 1989 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 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 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 A biomechanical inactivation principle. Zbl 1218.92012 Gauthier, Jean-Paul; Berret, Bastien; Jean, Frédéric 1 2010 Orthogonal representations of nonlinear systems and input-output maps. Zbl 0613.93012 Celle, F.; Gauthier, J. P.; Kazakos, D. 1 1986 Unknown-input observability with an application to prognostics for waste water treatment plants. Zbl 1293.93114 Lafont, Frédéric; Pessel, Nathalie; Balmat, Jean-François; Gauthier, Jean-Paul 1 2014 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 Optimal control of the Schrödinger equation with two or three levels. Zbl 1009.93060 Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul 1 2003 Entropy estimations for motion planning problems in robotics. Zbl 1152.93045 Gauthier, J.-P.; Zakalyukin, V. M. 1 2007 Theory of dynamic observers for a class of nonlinear system. Zbl 0672.93012 Gauthier, J. P.; Celle, F. 1 1988 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 Output feedback stabilization of non-uniformly observable systems. Zbl 1521.93136 Brivadis, Lucas; Gauthier, Jean-Paul; Sacchelli, Ludovic 1 2023 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 5 2021 Dynamic output stabilization of control systems: an unobservable kinematic drone model. Zbl 1467.93256 Ajami, Alain; Gauthier, Jean-Paul; Sacchelli, Ludovic 3 2021 New perspectives on output feedback stabilization at an unobservable target. Zbl 1478.93498 Brivadis, Lucas; Gauthier, Jean-Paul; Sacchelli, Ludovic; Serres, Ulysse 3 2021 A universal gap for non-spin quantum control systems. Zbl 1457.81052 Gauthier, Jean-Paul; Rossi, Francesco 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 Avoiding observability singularities in output feedback bilinear systems. Zbl 1467.93045 Brivadis, Lucas; Gauthier, Jean-Paul A.; Sacchelli, Ludovic; Serres, Ulysse 2 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 Asymptotic ensemble stabilizability of the Bloch equation. Zbl 1386.93253 Chittaro, Francesca C.; Gauthier, Jean-Paul 8 2018 Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004 Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 7 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 28 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. 22 2014 Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups. Zbl 1309.58001 Boscain, U.; Gauthier, J.-P.; Rossi, F. 10 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 Unknown-input observability with an application to prognostics for waste water treatment plants. Zbl 1293.93114 Lafont, Frédéric; Pessel, Nathalie; Balmat, Jean-François; Gauthier, Jean-Paul 1 2014 On the motion planning of the ball with a trailer. Zbl 1273.49003 Boizot, Nicolas; Gauthier, Jean-Paul 4 2013 Motion planning for kinematic systems. Zbl 1369.93409 Boizot, Nicolas; Gauthier, Jean-Paul 3 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 8 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 6 2011 An adaptive high-gain observer for nonlinear systems. Zbl 1201.93122 Boizot, Nicolas; Busvelle, Eric; Gauthier, Jean-Paul 50 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 73 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 7 2008 How humans control arm movements. Zbl 1236.93012 Berret, B.; Gauthier, J.-P.; Papaxanthis, C. 4 2008 Emergence of travelling waves in smooth nerve fibres. Zbl 1148.92006 Jacquir, S.; Binczaķ, S.; Gauthier, J. P.; Bilbault, J. M. 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 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 13 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 35 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. 18 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 108 2001 On the subanalyticity of Carnot-Carathéodory distances. Zbl 1001.93014 Agrachev, Andrei; Gauthier, Jean-Paul 18 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. 2 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. 13 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 An observer for infinite-dimensional dissipative bilinear systems. Zbl 0829.93006 Xu, C.-Z.; Ligarius, P.; Gauthier, J.-P. 14 1995 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 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. 17 1993 A simple observer for nonlinear systems applications to bioreactors. Zbl 0775.93020 Gauthier, J. P.; Hammouri, H.; Othman, S. 326 1992 High gain estimation for nonlinear systems. Zbl 0779.93018 Deza, F.; Busvelle, E.; Gauthier, J. P.; Rakotopara, D. 58 1992 A separation principle for bilinear systems with dissipative drift. Zbl 0778.93102 Gauthier, J. P.; Kupka, I. 31 1992 Global time-varying linearization up to output injection. Zbl 0771.93033 Hammouri, H.; Gauthier, J. P. 16 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. 21 1989 Controllability of right-invariant systems on semisimple Lie groups. Zbl 0682.93009 El Assoudi, R.; Gauthier, J. P. 3 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 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. 3 1987 Global realizations of analytic input-output mappings. Zbl 0602.93013 Gauthier, J. P.; Bornard, G. 3 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 Structure des systèmes non linéaires. (Structure of nonlinear systems). Zbl 0606.58001 Gauthier, Jean-Paul 7 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. 4 1982 Existence and uniqueness of minimal realizations in the \(C^\infty\) case. Zbl 0497.93014 Gauthier, J. P.; Bornard, G. 2 1982 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,251 Authors 41 Gauthier, Jean-Paul A. 29 Boscain, Ugo 23 Hammouri, Hassan 19 Farza, Mondher 17 Sachkov, Yuriĭ Leonidovich 15 Besançon, Gildas 15 M’Saad, Mohammed 14 Duits, Remco 14 Lin, Wei 13 Ahmed-Ali, Tarek 13 Andrieu, Vincent 13 Sigalotti, Mario 13 Tornambè, Antonio 12 Agrachev, Andreĭ Aleksandrovich 12 Vivalda, Jean-Claude 11 Barilari, Davide 11 Ménard, Tomas 11 Praly, Laurent 10 Bonnard, Bernard 10 Giri, Fouad 10 Martinez-Guerra, Rafael 10 Possieri, Corrado 10 Prandi, Dario 10 Sacchelli, Ludovic 10 Vaidyanathan, Sundarapandian 9 Karafyllis, Iasson 9 Marconi, Lorenzo 9 Menini, Laura 9 Serres, Ulysse 9 Zemouche, Ali 8 Barbot, Jean-Pierre 8 Boutat, Driss 8 Busvelle, Éric 8 Efimov, Denis V. 8 Isidori, Alberto 8 Shen, Yanjun 8 Trélat, Emmanuel 8 Xia, Xiaohua 7 Ammar, Sabeur 7 Bernard, Pauline 7 D’Alessandro, Domenico 7 Duca, Alessandro 7 Iggidr, Abderrahman 7 Rizzi, Luca 7 Rossi, Francesco 7 San Martin, Luiz Antonio Barrera 7 Sarti, Alessandro 7 Vallarino, Maria 6 Alessandri, Angelo 6 Astolfi, Daniele 6 Bauer, Wolfram 6 Bekkers, Erik J. 6 Boizot, Nicolas 6 Brivadis, Lucas 6 Bruno, Tommaso 6 Busawon, Krishna K. 6 Charlot, Grégoire 6 Citti, Giovanna 6 Germani, Alfredo 6 Lamnabhi-Lagarrigue, Françoise 6 Moreno, Jaime A. 6 Moulay, Emmanuel 6 Ortega, Romeo S. 6 Tsinias, John 5 Ali, Sofiane Ahmed 5 Bornard, Guy 5 Defoort, Michael 5 Ghezzi, Roberta 5 Glumineau, Alain 5 Jean, Frédéric 5 Ma, Tong 5 Manes, Costanzo 5 Markina, Irina 5 Mashtakov, Alexey P. 5 Mason, Paolo 5 Mazenc, Frédéric 5 Pechen, Alexander Nikolaevich 5 Peloso, Marco Maria 5 Perruquetti, Wilfrid 5 Prieur, Christophe 5 Qian, Chunjiang 5 Sallet, Gauthier 5 Shim, Hyungbo 5 Teel, Andrew Richard 5 Tian, Yang 5 Wang, Haoping 5 Xu, Cheng-Zhong 4 Ataei, Mohammad Javad 4 Ben Abdennour, Ridha 4 Byrnes, Christopher Ian 4 Chittaro, Francesca C. 4 Chyba, Monique 4 Coirault, Patrick 4 Darouach, Mohamed 4 de León, Jesús Ponce 4 Ekramian, Mohsen 4 El Assoudi-Baikari, Rachida 4 Fridman, Leonid M. 4 Furutani, Kenro 4 Gordina, Maria ...and 1,151 more Authors all top 5 Cited in 182 Serials 116 Automatica 85 Systems & Control Letters 61 International Journal of Robust and Nonlinear Control 58 International Journal of Control 32 Journal of Dynamical and Control Systems 25 Journal of the Franklin Institute 23 SIAM Journal on Control and Optimization 22 European Journal of Control 22 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 17 Journal of Mathematical Imaging and Vision 16 Applied Mathematics Letters 16 MCSS. 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Series S 2 Advances in Calculus of Variations 2 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 2 SIAM Journal on Applied Algebra and Geometry 2 Communications in Analysis and Mechanics 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 Journal d’Analyse Mathématique 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Physica A ...and 82 more Serials all top 5 Cited in 49 Fields 674 Systems theory; control (93-XX) 130 Differential geometry (53-XX) 88 Calculus of variations and optimal control; optimization (49-XX) 79 Partial differential equations (35-XX) 66 Global analysis, analysis on manifolds (58-XX) 58 Biology and other natural sciences (92-XX) 57 Topological groups, Lie groups (22-XX) 56 Ordinary differential equations (34-XX) 55 Quantum theory (81-XX) 35 Dynamical systems and ergodic theory (37-XX) 30 Mechanics of particles and systems (70-XX) 27 Information and communication theory, circuits (94-XX) 24 Computer science (68-XX) 22 Abstract harmonic analysis (43-XX) 21 Numerical analysis (65-XX) 15 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) 11 Probability theory and stochastic processes (60-XX) 10 Functional analysis (46-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Optics, electromagnetic theory (78-XX) 6 Real functions (26-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Geometry (51-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-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 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-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 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year