# zbMATH — the first resource for mathematics

## Jean, Frédéric

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 Author ID: jean.frederic Published as: Jean, F.; Jean, Frederic; Jean, Frédéric
 Documents Indexed: 28 Publications since 1996, including 2 Books
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#### Co-Authors

 6 single-authored 7 Chitour, Yacine 3 Ghezzi, Roberta 3 Trélat, Emmanuel 2 Berret, Bastien 2 Mason, Paolo 2 Prandi, Dario 1 Albu, Alexandra Branzan 1 Arber, Christian 1 Barilari, Davide 1 Bergevin, Robert 1 Chittaro, Francesca C. 1 Falbel, Elisha 1 Gabrielov, Andrei 1 Gauthier, Jean-Paul A. 1 Giraldi, Laetitia 1 Grong, Erlend 1 Kokkonen, Petri 1 Koseleff, Pierre-Vincent 1 Laumond, Jean-Paul 1 Long, Ruixing 1 Maslovskaya, Sofya 1 Oriolo, Giuseppe 1 Pansu, Pierre 1 Petit, Nicolas 1 Risler, Jean-Jacques 1 Sigalotti, Mario 1 Vendittelli, Marilena 1 Zelenko, Igor
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#### Serials

 4 SIAM Journal on Control and Optimization 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 International Journal of Control 1 Journal d’Analyse Mathématique 1 Annales de l’Institut Fourier 1 Automatica 1 Geometriae Dedicata 1 IEEE Transactions on Automatic Control 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Pattern Recognition 1 Journal of Mathematical Sciences (New York) 1 Journal of Dynamical and Control Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Proceedings of the Steklov Institute of Mathematics 1 SMF Journée Annuelle 1 SpringerBriefs in Mathematics
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#### Fields

 16 Systems theory; control (93-XX) 15 Differential geometry (53-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Measure and integration (28-XX) 3 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH

22 Publications have been cited 208 times in 148 Documents Cited by Year
Control of nonholonomic systems: from sub-Riemannian geometry to motion planning. Zbl 1309.93002
Jean, Frédéric
2014
Genericity results for singular curves. Zbl 1102.53019
Chitour, Y.; Jean, F.; Trélat, E.
2006
Singular trajectories of control-affine systems. Zbl 1157.49041
Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel
2008
The car with N Trailers : characterization of the singular configurations. Zbl 0874.93033
Jean, Frederic
1996
Uniform estimation of sub-Riemannian balls. Zbl 1029.53039
Jean, Frédéric
2001
Complexity of nonholonomic motion planning. Zbl 1017.68138
Jean, Frédéric
2001
Measures of transverse paths in sub-Riemannian geometry. Zbl 1073.53046
Falbel, Elisha; Jean, Frédéric
2003
Entropy and complexity of a path in sub-Riemannian geometry. Zbl 1075.53026
Jean, Frédéric
2003
Nonhomogeneous nilpotent approximations for nonholonomic systems with singularities. Zbl 1365.93035
Vendittelli, Marilena; Oriolo, Giuseppe; Jean, Frédéric; Laumond, Jean-Paul
2004
Generic properties of singular trajectories. Zbl 1038.58019
Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel
2003
Optimal control models of goal-oriented human locomotion. Zbl 1244.49033
Chitour, Yacine; Jean, Frédéric; Mason, Paolo
2012
Hausdorff volume in non equiregular sub-Riemannian manifolds. Zbl 1325.53039
Ghezzi, R.; Jean, F.
2015
Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds. Zbl 1294.53030
Ghezzi, Roberta; Jean, Frédéric
2014
On inverse optimal control problems of human locomotion: stability and robustness of the minimizers. Zbl 1282.93036
Chittaro, F. C.; Jean, F.; Mason, P.
2013
A global steering method for nonholonomic systems. Zbl 1258.93056
Chitour, Yacine; Jean, Frédéric; Long, Ruixing
2013
On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures. Zbl 1434.53033
Barilari, Davide; Chitour, Yacine; Jean, Frederic; Prandi, Dario; Sigalotti, Mario
2020
A new class of $$(\mathcal H^k, 1)$$-rectifiable subsets of metric spaces. Zbl 1268.28005
Ghezzi, Roberta; Jean, Frédéric
2013
Towards view-invariant gait modeling: computing view-normalized body part trajectories. Zbl 1175.68362
Jean, Frédéric; Albu, Alexandra Branzan; Bergevin, Robert
2009
Multiplicity of polynomials on trajectories of polynomial vector fields in $$\mathbb{C}^3$$. Zbl 0922.32023
Gabrielov, Andrei; Jean, Frédéric; Risler, Jean-Jacques
1998
Horizontal holonomy and foliated manifolds. Zbl 1422.53038
Chitour, Yacine; Grong, Erlend; Jean, Frédéric; Kokkonen, Petri
2019
A biomechanical inactivation principle. Zbl 1218.92012
Gauthier, Jean-Paul; Berret, Bastien; Jean, Frédéric
2010
Elementary approximation of exponentials of Lie polynomials. Zbl 1039.17500
Jean, Frédéric; Koseleff, Pierre-Vincent
1997
On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures. Zbl 1434.53033
Barilari, Davide; Chitour, Yacine; Jean, Frederic; Prandi, Dario; Sigalotti, Mario
2020
Horizontal holonomy and foliated manifolds. Zbl 1422.53038
Chitour, Yacine; Grong, Erlend; Jean, Frédéric; Kokkonen, Petri
2019
Hausdorff volume in non equiregular sub-Riemannian manifolds. Zbl 1325.53039
Ghezzi, R.; Jean, F.
2015
Control of nonholonomic systems: from sub-Riemannian geometry to motion planning. Zbl 1309.93002
Jean, Frédéric
2014
Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds. Zbl 1294.53030
Ghezzi, Roberta; Jean, Frédéric
2014
On inverse optimal control problems of human locomotion: stability and robustness of the minimizers. Zbl 1282.93036
Chittaro, F. C.; Jean, F.; Mason, P.
2013
A global steering method for nonholonomic systems. Zbl 1258.93056
Chitour, Yacine; Jean, Frédéric; Long, Ruixing
2013
A new class of $$(\mathcal H^k, 1)$$-rectifiable subsets of metric spaces. Zbl 1268.28005
Ghezzi, Roberta; Jean, Frédéric
2013
Optimal control models of goal-oriented human locomotion. Zbl 1244.49033
Chitour, Yacine; Jean, Frédéric; Mason, Paolo
2012
A biomechanical inactivation principle. Zbl 1218.92012
Gauthier, Jean-Paul; Berret, Bastien; Jean, Frédéric
2010
Towards view-invariant gait modeling: computing view-normalized body part trajectories. Zbl 1175.68362
Jean, Frédéric; Albu, Alexandra Branzan; Bergevin, Robert
2009
Singular trajectories of control-affine systems. Zbl 1157.49041
Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel
2008
Genericity results for singular curves. Zbl 1102.53019
Chitour, Y.; Jean, F.; Trélat, E.
2006
Nonhomogeneous nilpotent approximations for nonholonomic systems with singularities. Zbl 1365.93035
Vendittelli, Marilena; Oriolo, Giuseppe; Jean, Frédéric; Laumond, Jean-Paul
2004
Measures of transverse paths in sub-Riemannian geometry. Zbl 1073.53046
Falbel, Elisha; Jean, Frédéric
2003
Entropy and complexity of a path in sub-Riemannian geometry. Zbl 1075.53026
Jean, Frédéric
2003
Generic properties of singular trajectories. Zbl 1038.58019
Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel
2003
Uniform estimation of sub-Riemannian balls. Zbl 1029.53039
Jean, Frédéric
2001
Complexity of nonholonomic motion planning. Zbl 1017.68138
Jean, Frédéric
2001
Multiplicity of polynomials on trajectories of polynomial vector fields in $$\mathbb{C}^3$$. Zbl 0922.32023
Gabrielov, Andrei; Jean, Frédéric; Risler, Jean-Jacques
1998
Elementary approximation of exponentials of Lie polynomials. Zbl 1039.17500
Jean, Frédéric; Koseleff, Pierre-Vincent
1997
The car with N Trailers : characterization of the singular configurations. Zbl 0874.93033
Jean, Frederic
1996
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#### Cited by 197 Authors

 12 Trélat, Emmanuel 9 Jean, Frédéric 8 Le Donne, Enrico 7 Boscain, Ugo 6 Barilari, Davide 6 Boarotto, Francesco 6 Gauthier, Jean-Paul A. 6 Rizzi, Luca 6 Sigalotti, Mario 5 Agrachev, Andreĭ Aleksandrovich 5 Chitour, Yacine 5 Monti, Roberto 4 Barbero-Liñán, María 4 Bonnard, Bernard 4 Grong, Erlend 4 Mormul, Piotr 4 Vittone, Davide 4 Vodop’yanov, Sergeĭ Konstantinovich 4 Zakalyukin, Vladimir M. 3 Ribeiro Castro, Alex Lúcio 3 Cerf, Max 3 Howard, Wyatt C. 3 Kokkonen, Petri 3 Prandi, Dario 3 Selivanova, Svetlana V. 3 Shanbrom, Corey 3 Zhu, Jiamin 2 Binyamini, Gal 2 Choi, Woocheol 2 Cristiani, Emiliano 2 Ghezzi, Roberta 2 Hakavuori, Eero 2 Ignatovich, Svetlana Yu. 2 Karmanova, M. V. 2 Karmanova, Maria B. 2 Lerario, Antonio 2 Martinon, Pierre 2 Mason, Paolo 2 Melnikov, Nikolai B. 2 Michałek, Maciej Marcin 2 Monroy-Pérez, Felipe 2 Mortada, Amina 2 Muñoz-Lecanda, Miguel C. 2 Neel, Robert Weston 2 Nicolussi Golo, Sebastiano 2 Piccoli, Benedetto 2 Pigati, Alessandro 2 Ponge, Raphaël S. 2 Ratajczak, Joanna 2 Rouot, Jérémy 2 Tchoń, Krzysztof 2 Vigneron, François 2 Zakalyukin, I. V. 2 Zuyev, Aleksandr Leonidovich 1 Abou-Kandil, Hisham 1 Aidene, Mohamed 1 Albano, Paolo 1 Antonelli, Gioacchino 1 Arguillère, Sylvain 1 Arutyunov, Aram Vladimirovic 1 Bagagiolo, Fabio 1 Bâja, Mihai 1 Barles, Guy 1 Bartlett, Catherine E. 1 Basalaev, S. G. 1 Bauso, Dario 1 Bettiol, Piernicola 1 Bhattacharya, Subhrajit 1 Biggs, Rory 1 Borisov, Alekseĭ Vladimirovich 1 Bravo-Doddoli, Alejandro 1 Bravo, Mary J. 1 Briani, Ariela 1 Buisson, Jean-Christophe 1 Caillau, Jean-Baptiste 1 Campos, Cédric Martínez 1 Cannarsa, Piermarco 1 Cao, Jiuwen 1 Capogna, Luca 1 Caponigro, Marco 1 Charlot, Grégoire 1 Cheaito, Mohamad H. 1 Chen, Hua 1 Childs, Andrew M. 1 Chittaro, Francesca C. 1 Chyba, Monique 1 Citti, Giovanna 1 Claeys, Mathieu 1 Cormerais, Hervé 1 Cots, Olivier 1 De Fouquieres, Pierre 1 Deng, Muqing 1 Diniz, Marcos M. 1 Dulȩba, Ignacy 1 Falbel, Elisha 1 Fan, Tingchang 1 Fässler, Katrin S. 1 Figalli, Alessio 1 Fung, Siu-Ying 1 Galicki, Mirosław ...and 97 more Authors
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#### Cited in 65 Serials

 16 Journal of Dynamical and Control Systems 10 SIAM Journal on Control and Optimization 8 Calculus of Variations and Partial Differential Equations 6 Acta Applicandae Mathematicae 6 Journal of Mathematical Sciences (New York) 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 International Journal of Control 4 Systems & Control Letters 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Doklady Mathematics 3 Annales de l’Institut Fourier 3 Journal of Differential Equations 3 Journal of Optimization Theory and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Differential Geometry and its Applications 3 The Journal of Geometric Analysis 3 Geometric and Functional Analysis. GAFA 3 Discrete and Continuous Dynamical Systems 2 Journal d’Analyse Mathématique 2 Automatica 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Regular and Chaotic Dynamics 2 Mathematical Control and Related Fields 2 Pacific Journal of Mathematics for Industry 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Nonlinearity 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Dissertationes Mathematicae 1 Duke Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Note di Matematica 1 MCSS. Mathematics of Control, Signals, and Systems 1 Forum Mathematicum 1 Signal Processing 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 International Journal of Robust and Nonlinear Control 1 Journal of Nonlinear Science 1 Vestnik St. Petersburg University. Mathematics 1 Russian Mathematics 1 Journal of Computer and Systems Sciences International 1 Nonlinear Dynamics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Acta Mathematica Sinica. English Series 1 International Journal of Applied Mathematics and Computer Science 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Geometric Methods in Modern Physics 1 Proceedings of the Steklov Institute of Mathematics 1 Networks and Heterogeneous Media 1 Journal of Geometric Mechanics 1 Journal of Singularities 1 Analysis and Geometry in Metric Spaces 1 Transactions of the American Mathematical Society. Series B
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#### Cited in 34 Fields

 72 Differential geometry (53-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 41 Systems theory; control (93-XX) 33 Global analysis, analysis on manifolds (58-XX) 20 Mechanics of particles and systems (70-XX) 15 Partial differential equations (35-XX) 14 Dynamical systems and ergodic theory (37-XX) 11 Ordinary differential equations (34-XX) 10 Topological groups, Lie groups (22-XX) 8 Measure and integration (28-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Abstract harmonic analysis (43-XX) 5 Numerical analysis (65-XX) 4 Functional analysis (46-XX) 4 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Algebraic geometry (14-XX) 3 Functions of a complex variable (30-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Quantum theory (81-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)