# zbMATH — the first resource for mathematics

## Boscain, Ugo

Compute Distance To:
 Author ID: boscain.ugo Published as: Boscain, U.; Boscain, Ugo; Boscain, Ugo V. Homepage: http://www.cmapx.polytechnique.fr/~boscain/ External Links: MGP
 Documents Indexed: 82 Publications since 1998, including 5 Books
all top 5

#### Co-Authors

 3 single-authored 24 Sigalotti, Mario 17 Gauthier, Jean-Paul A. 13 Charlot, Grégoire 11 Barilari, Davide 10 Mason, Paolo 10 Rossi, Francesco 8 Agrachev, Andreĭ Aleksandrovich 7 Neel, Robert Weston 7 Piccoli, Benedetto 6 Chambrion, Thomas 5 Prandi, Dario 4 Chitour, Yacine 4 Remizov, Alexey O. 3 Chertovskih, Roman A. 3 Ghezzi, Roberta 2 Balde, Moussa 2 Caponigro, Marco 2 Duits, Remco 2 Duplaix, Jean 2 Polidoro, Sergio 2 Rizzi, Luca 2 Sachkov, Yuriĭ Leonidovich 1 Augier, Nicolas 1 Beschastnyi, Ivan Yu. 1 Chittaro, Francesca C. 1 Gaye, Moussa 1 Grönberg, Fredrik 1 Guérin, Stéphane 1 Jauslin, Hans-Rudolf 1 Kostenko, Aleksey S. 1 Laurent, Camille 1 Le Donne, Enrico 1 Long, Ruixing 1 Maillot, Thibault 1 Nikolaev, Igor Vasilievich 1 Panati, Gianluca 1 Pankrashkin, Konstantin 1 Pozzoli, Eugenio 1 Rabitz, Herschel A. 1 Sacchelli, Ludovic 1 Salmoni, R. 1 Sarychev, Andrey V. 1 Seri, Marcello 1 Serres, Ulysse 1 Stefani, Gianna
all top 5

#### Serials

 11 SIAM Journal on Control and Optimization 5 Journal of Mathematical Physics 5 Journal of Dynamical and Control Systems 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Discrete and Continuous Dynamical Systems 2 Communications in Mathematical Physics 2 Journal of Differential Equations 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Differential Geometry and its Applications 2 Journal of Mathematical Imaging and Vision 2 Journal of Mathematical Sciences (New York) 2 Communications on Pure and Applied Analysis 2 EMS Series of Lectures in Mathematics 1 International Journal of Control 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 IEEE Transactions on Automatic Control 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Rendiconti del Seminario Matematico 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Calculus of Variations and Partial Differential Equations 1 Electronic Communications in Probability 1 Discrete and Continuous Dynamical Systems. Series B 1 Oberwolfach Reports 1 Cambridge Studies in Advanced Mathematics 1 Mathématiques & Applications (Berlin) 1 Proceedings of the Steklov Institute of Mathematics 1 SIAM Journal on Imaging Sciences 1 Springer INdAM Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
all top 5

#### Fields

 40 Differential geometry (53-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 21 Systems theory; control (93-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Partial differential equations (35-XX) 15 Quantum theory (81-XX) 7 Information and communication theory, circuits (94-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Topological groups, Lie groups (22-XX) 4 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 2 Abstract harmonic analysis (43-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH

66 Publications have been cited 864 times in 483 Documents Cited by Year
The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups. Zbl 1165.58012
Agrachev, Andrei; Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco
2009
Introduction to geodesics in sub-Riemannian geometry. Zbl 1362.53001
Agrachev, Andrei; Barilari, Davide; Boscain, Ugo
2016
Invariant Carnot-Carathéodory metrics on $$S^3, \mathrm{SO}(3), \mathrm{SL}(2)$$, and lens spaces. Zbl 1170.53016
Boscain, Ugo; Rossi, Francesco
2008
Optimal syntheses for control systems on 2-D manifolds. Zbl 1137.49001
Boscain, Ugo; Piccoli, Benedetto
2004
On the Hausdorff volume in sub-Riemannian geometry. Zbl 1236.53030
Agrachev, Andrei; Barilari, Davide; Boscain, Ugo
2012
Controllability of the discrete-spectrum Schrödinger equation driven by an external field. Zbl 1161.35049
Chambrion, Thomas; Mason, Paolo; Sigalotti, Mario; Boscain, Ugo
2009
Stability of planar switched systems: The linear single input case. Zbl 1012.93055
Boscain, Ugo
2002
Time minimal trajectories for a spin 1/2 particle in a magnetic field. Zbl 1112.81098
Boscain, Ugo; Mason, Paolo
2006
A comprehensive introduction to sub-Riemannian geometry. From the Hamiltonian viewpoint. With an appendix by Igor Zelenko. Zbl 07073879
Agrachev, Andrei; Barilari, Davide; Boscain, Ugo
2020
A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule. Zbl 1267.35177
Boscain, U.; Caponigro, M.; Chambrion, T.; Sigalotti, M.
2012
A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds. Zbl 1198.49041
Agrachev, Andrei; Boscain, Ugo; Sigalotti, Mario
2008
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
2002
Small-time heat kernel asymptotics at the sub-Riemannian cut locus. Zbl 1270.53066
Barilari, Davide; Boscain, Ugo; Neel, Robert W.
2012
Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy. Zbl 1084.81083
Boscain, Ugo; Chambrion, Thomas; Charlot, Grégoire
2005
A note on stability conditions for planar switched systems. Zbl 1178.93121
Balde, Moussa; Boscain, Ugo; Mason, Paolo
2009
Common polynomial Lyapunov functions for linear switched systems. Zbl 1132.93038
Mason, Paolo; Boscain, Ugo; Chitour, Yacine
2006
Association fields via cuspless sub-Riemannian geodesics in SE(2). Zbl 1296.49040
Duits, R.; Boscain, U.; Rossi, F.; Sachkov, Y.
2014
The Laplace-Beltrami operator in almost-Riemannian geometry. Zbl 1314.58017
Boscain, Ugo; Laurent, Camille
2013
Two-dimensional almost-Riemannian structures with tangency points. Zbl 1192.53029
Agrachev, A. A.; Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M.
2010
Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002
Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O.
2014
Curve cuspless reconstruction via sub-Riemannian geometry. Zbl 1381.49003
Boscain, Ugo; Duits, Remco; Rossi, Francesco; Sachkov, Yuri
2014
Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum. Zbl 1284.93039
Boscain, Ugo; Caponigro, Marco; Sigalotti, Mario
2014
Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011
Boscain, Ugo; Duplaix, Jean; Gauthier, Jean-Paul; Rossi, Francesco
2012
Gaussian estimates for hypoelliptic operators via optimal control. Zbl 1146.35026
Boscain, Ugo; Polidoro, Sergio
2007
Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems. Zbl 1306.81051
Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco; Sigalotti, Mario
2015
On the $$K+P$$ problem for a three-level quantum system: Optimality implies resonance. Zbl 1022.53028
Boscain, U.; Chambrion, T.; Gauthier, J.-P.
2002
Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues. Zbl 1369.81041
Boscain, Ugo V.; Chittaro, Francesca; Mason, Paolo; Sigalotti, Mario
2012
Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions. Zbl 1377.49006
Barilari, Davide; Boscain, Ugo; Le Donne, Enrico; Sigalotti, Mario
2017
Time-optimal synthesis for left-invariant control systems on series $$\operatorname{SO}(3)$$. Zbl 1083.49025
Boscain, Ugo; Chitour, Yacine
2005
Self-adjoint extensions and stochastic completeness of the Laplace-Beltrami operator on conic and anticonic surfaces. Zbl 1331.53063
Boscain, Ugo; Prandi, Dario
2016
Extremal synthesis for generic planar systems. Zbl 1013.49025
Boscain, Ugo; Piccoli, Benedetto
2001
Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry. Zbl 1378.53043
Boscain, Ugo; Neel, Robert; Rizzi, Luca
2017
Minimal time trajectories for two-level quantum systems with two bounded controls. Zbl 1305.81089
Boscain, Ugo; Grönberg, Fredrik; Long, Ruixing; Rabitz, Herschel
2014
Existence of planar curves minimizing length and curvature. Zbl 1215.53006
Boscain, Ugo; Charlot, Grégoire; Rossi, Francesco
2010
Image processing in the semidiscrete group of rototranslations. Zbl 1406.94005
Prandi, Dario; Boscain, Ugo; Gauthier, Jean-Paul
2015
Normal forms and invariants for 2-dimensional almost-Riemannian structures. Zbl 1260.53063
Boscain, U.; Charlot, G.; Ghezzi, R.
2013
Lipschitz classification of almost-Riemannian distances on compact oriented surfaces. Zbl 1259.53031
Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M.
2013
On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064
Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul
2012
Stability of planar switched systems: the nondiagonalizable case. Zbl 1147.93038
Balde, Moussa; Boscain, Ugo
2008
Resonance of minimizers for $$n$$-level quantum systems with an arbitrary cost. Zbl 1072.49002
Boscain, Ugo; Charlot, Grégoire
2004
On the heat diffusion for generic Riemannian and sub-Riemannian structures. Zbl 1405.58006
Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W.
2017
Hypoelliptic heat kernel over $$3$$-step nilpotent Lie groups. Zbl 1309.58001
Boscain, U.; Gauthier, J.-P.; Rossi, F.
2014
High-order angles in almost-Riemannian geometry. Zbl 1159.53320
Boscain, Ugo; Sigalotti, Mario
2007
Adiabatic ensemble control of a continuum of quantum systems. Zbl 1401.81055
Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario
2018
On the control of spin-boson systems. Zbl 1322.81062
Boscain, Ugo; Mason, Paolo; Panati, Gianluca; Sigalotti, Mario
2015
Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004
Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey
2018
Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume I. Lecture notes from the IHP Trimester, Institut Henri Poincaré, Paris, France and from the CIRM summer school “Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion”, Luminy, France, Fall 2014. Zbl 1343.53001
Barilari, Davide (ed.); Boscain, Ugo (ed.); Sigalotti, Mario (ed.)
2016
Local properties of almost-Riemannian structures in dimension 3. Zbl 1335.53039
Mason, Paolo; Gaye, Moussa; Charlot, Gregoire; Boscain, Ugo
2015
Small-time asymptotics of the heat kernel of Riemannian and sub-Riemannian metrics. Zbl 1375.53050
Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W.
2014
Geometric control theory and sub-Riemannian geometry. Proceedings of the meeting on geometric control theory and sub-Riemannian geometry, dedicated to Andrei A. Agrachev on the occasion of his 60th birthday, Cortona, Italy, May 21–25, 2012. Zbl 1287.49001
Stefani, Gianna (ed.); Boscain, Ugo (ed.); Gauthier, Jean-Paul (ed.); Sarychev, Andrey (ed.); Sigalotti, Mario (ed.)
2014
On the spherical Hausdorff measure in step 2 corank 2 sub-Riemannian geometry. Zbl 1318.53021
Boscain, Ugo; Gauthier, Jean-Paul
2013
Projective Reeds-Shepp car on $$S^2$$ with quadratic cost. Zbl 1217.49034
Boscain, Ugo; Rossi, Francesco
2010
On the minimum time problem for driftless left-invariant control systems on $$SO(3)$$. Zbl 1034.49015
Boscain, Ugo; Chitour, Yacine
2002
Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling. Zbl 06996638
Agrachev, Andrei; Boscain, Ugo; Neel, Robert; Rizzi, Luca
2018
Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds. Zbl 1342.35196
Boscain, U.; Prandi, D.; Seri, M.
2016
An introduction to optimal control. Zbl 1093.49001
Boscain, Ugo; Piccoli, Benetto
2005
Optimal control of the Schrödinger equation with two or three levels. Zbl 1009.93060
Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul
2003
Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume II. Lecture notes from the IHP Trimester held at the Institut Henri Poincaré, Paris, France, and from the CIRM summer school “Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion”, Luminy, France, Fall 2014. Zbl 1351.53003
Barilari, Davide (ed.); Boscain, Ugo (ed.); Sigalotti, Mario (ed.)
2016
Lyapunov and minimum-time path planning for drones. Zbl 1328.93205
Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse
2015
What can we hope about output tracking of bilinear quantum systems? Zbl 1216.81083
Boscain, U.; Chambrion, T.; Sigalotti, M.; Mason, P.
2010
A review on stability of switched systems for arbitrary switchings. Zbl 1206.93093
Boscain, U.
2008
Limit time optimal synthesis for a control-affine system on $$S^2$$. Zbl 1162.49002
Mason, P.; Salmoni, R.; Boscain, U.; Chitour, Y.
2008
Stability of planar nonlinear switched systems. Zbl 1115.34048
Boscain, Ugo; Charlot, Grégoire; Sigalotti, Mario
2006
On automaton recognizability of abnormal extremals. Zbl 1024.49020
Boscain, Ugo; Piccoli, Benedetto
2002
Morse properties for the minimum time function on 2-D manifolds. Zbl 1041.58005
Boscain, Ugo; Piccoli, Benedetto
2001
Geometric control approach to synthesis theory. Zbl 1028.49031
Boscain, U.; Piccoli, B.
1998
A comprehensive introduction to sub-Riemannian geometry. From the Hamiltonian viewpoint. With an appendix by Igor Zelenko. Zbl 07073879
Agrachev, Andrei; Barilari, Davide; Boscain, Ugo
2020
Adiabatic ensemble control of a continuum of quantum systems. Zbl 1401.81055
Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario
2018
Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004
Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey
2018
Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling. Zbl 06996638
Agrachev, Andrei; Boscain, Ugo; Neel, Robert; Rizzi, Luca
2018
Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions. Zbl 1377.49006
Barilari, Davide; Boscain, Ugo; Le Donne, Enrico; Sigalotti, Mario
2017
Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry. Zbl 1378.53043
Boscain, Ugo; Neel, Robert; Rizzi, Luca
2017
On the heat diffusion for generic Riemannian and sub-Riemannian structures. Zbl 1405.58006
Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W.
2017
Introduction to geodesics in sub-Riemannian geometry. Zbl 1362.53001
Agrachev, Andrei; Barilari, Davide; Boscain, Ugo
2016
Self-adjoint extensions and stochastic completeness of the Laplace-Beltrami operator on conic and anticonic surfaces. Zbl 1331.53063
Boscain, Ugo; Prandi, Dario
2016
Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume I. Lecture notes from the IHP Trimester, Institut Henri Poincaré, Paris, France and from the CIRM summer school “Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion”, Luminy, France, Fall 2014. Zbl 1343.53001
Barilari, Davide (ed.); Boscain, Ugo (ed.); Sigalotti, Mario (ed.)
2016
Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds. Zbl 1342.35196
Boscain, U.; Prandi, D.; Seri, M.
2016
Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume II. Lecture notes from the IHP Trimester held at the Institut Henri Poincaré, Paris, France, and from the CIRM summer school “Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion”, Luminy, France, Fall 2014. Zbl 1351.53003
Barilari, Davide (ed.); Boscain, Ugo (ed.); Sigalotti, Mario (ed.)
2016
Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems. Zbl 1306.81051
Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco; Sigalotti, Mario
2015
Image processing in the semidiscrete group of rototranslations. Zbl 1406.94005
Prandi, Dario; Boscain, Ugo; Gauthier, Jean-Paul
2015
On the control of spin-boson systems. Zbl 1322.81062
Boscain, Ugo; Mason, Paolo; Panati, Gianluca; Sigalotti, Mario
2015
Local properties of almost-Riemannian structures in dimension 3. Zbl 1335.53039
Mason, Paolo; Gaye, Moussa; Charlot, Gregoire; Boscain, Ugo
2015
Lyapunov and minimum-time path planning for drones. Zbl 1328.93205
Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse
2015
Association fields via cuspless sub-Riemannian geodesics in SE(2). Zbl 1296.49040
Duits, R.; Boscain, U.; Rossi, F.; Sachkov, Y.
2014
Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002
Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O.
2014
Curve cuspless reconstruction via sub-Riemannian geometry. Zbl 1381.49003
Boscain, Ugo; Duits, Remco; Rossi, Francesco; Sachkov, Yuri
2014
Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum. Zbl 1284.93039
Boscain, Ugo; Caponigro, Marco; Sigalotti, Mario
2014
Minimal time trajectories for two-level quantum systems with two bounded controls. Zbl 1305.81089
Boscain, Ugo; Grönberg, Fredrik; Long, Ruixing; Rabitz, Herschel
2014
Hypoelliptic heat kernel over $$3$$-step nilpotent Lie groups. Zbl 1309.58001
Boscain, U.; Gauthier, J.-P.; Rossi, F.
2014
Small-time asymptotics of the heat kernel of Riemannian and sub-Riemannian metrics. Zbl 1375.53050
Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W.
2014
Geometric control theory and sub-Riemannian geometry. Proceedings of the meeting on geometric control theory and sub-Riemannian geometry, dedicated to Andrei A. Agrachev on the occasion of his 60th birthday, Cortona, Italy, May 21–25, 2012. Zbl 1287.49001
Stefani, Gianna (ed.); Boscain, Ugo (ed.); Gauthier, Jean-Paul (ed.); Sarychev, Andrey (ed.); Sigalotti, Mario (ed.)
2014
The Laplace-Beltrami operator in almost-Riemannian geometry. Zbl 1314.58017
Boscain, Ugo; Laurent, Camille
2013
Normal forms and invariants for 2-dimensional almost-Riemannian structures. Zbl 1260.53063
Boscain, U.; Charlot, G.; Ghezzi, R.
2013
Lipschitz classification of almost-Riemannian distances on compact oriented surfaces. Zbl 1259.53031
Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M.
2013
On the spherical Hausdorff measure in step 2 corank 2 sub-Riemannian geometry. Zbl 1318.53021
Boscain, Ugo; Gauthier, Jean-Paul
2013
On the Hausdorff volume in sub-Riemannian geometry. Zbl 1236.53030
Agrachev, Andrei; Barilari, Davide; Boscain, Ugo
2012
A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule. Zbl 1267.35177
Boscain, U.; Caponigro, M.; Chambrion, T.; Sigalotti, M.
2012
Small-time heat kernel asymptotics at the sub-Riemannian cut locus. Zbl 1270.53066
Barilari, Davide; Boscain, Ugo; Neel, Robert W.
2012
Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011
Boscain, Ugo; Duplaix, Jean; Gauthier, Jean-Paul; Rossi, Francesco
2012
Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues. Zbl 1369.81041
Boscain, Ugo V.; Chittaro, Francesca; Mason, Paolo; Sigalotti, Mario
2012
On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064
Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul
2012
Two-dimensional almost-Riemannian structures with tangency points. Zbl 1192.53029
Agrachev, A. A.; Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M.
2010
Existence of planar curves minimizing length and curvature. Zbl 1215.53006
Boscain, Ugo; Charlot, Grégoire; Rossi, Francesco
2010
Projective Reeds-Shepp car on $$S^2$$ with quadratic cost. Zbl 1217.49034
Boscain, Ugo; Rossi, Francesco
2010
What can we hope about output tracking of bilinear quantum systems? Zbl 1216.81083
Boscain, U.; Chambrion, T.; Sigalotti, M.; Mason, P.
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
2009
Controllability of the discrete-spectrum Schrödinger equation driven by an external field. Zbl 1161.35049
Chambrion, Thomas; Mason, Paolo; Sigalotti, Mario; Boscain, Ugo
2009
A note on stability conditions for planar switched systems. Zbl 1178.93121
Balde, Moussa; Boscain, Ugo; Mason, Paolo
2009
Invariant Carnot-Carathéodory metrics on $$S^3, \mathrm{SO}(3), \mathrm{SL}(2)$$, and lens spaces. Zbl 1170.53016
Boscain, Ugo; Rossi, Francesco
2008
A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds. Zbl 1198.49041
Agrachev, Andrei; Boscain, Ugo; Sigalotti, Mario
2008
Stability of planar switched systems: the nondiagonalizable case. Zbl 1147.93038
Balde, Moussa; Boscain, Ugo
2008
A review on stability of switched systems for arbitrary switchings. Zbl 1206.93093
Boscain, U.
2008
Limit time optimal synthesis for a control-affine system on $$S^2$$. Zbl 1162.49002
Mason, P.; Salmoni, R.; Boscain, U.; Chitour, Y.
2008
Gaussian estimates for hypoelliptic operators via optimal control. Zbl 1146.35026
Boscain, Ugo; Polidoro, Sergio
2007
High-order angles in almost-Riemannian geometry. Zbl 1159.53320
Boscain, Ugo; Sigalotti, Mario
2007
Time minimal trajectories for a spin 1/2 particle in a magnetic field. Zbl 1112.81098
Boscain, Ugo; Mason, Paolo
2006
Common polynomial Lyapunov functions for linear switched systems. Zbl 1132.93038
Mason, Paolo; Boscain, Ugo; Chitour, Yacine
2006
Stability of planar nonlinear switched systems. Zbl 1115.34048
Boscain, Ugo; Charlot, Grégoire; Sigalotti, Mario
2006
Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy. Zbl 1084.81083
Boscain, Ugo; Chambrion, Thomas; Charlot, Grégoire
2005
Time-optimal synthesis for left-invariant control systems on series $$\operatorname{SO}(3)$$. Zbl 1083.49025
Boscain, Ugo; Chitour, Yacine
2005
An introduction to optimal control. Zbl 1093.49001
Boscain, Ugo; Piccoli, Benetto
2005
Optimal syntheses for control systems on 2-D manifolds. Zbl 1137.49001
Boscain, Ugo; Piccoli, Benedetto
2004
Resonance of minimizers for $$n$$-level quantum systems with an arbitrary cost. Zbl 1072.49002
Boscain, Ugo; Charlot, Grégoire
2004
Optimal control of the Schrödinger equation with two or three levels. Zbl 1009.93060
Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul
2003
Stability of planar switched systems: The linear single input case. Zbl 1012.93055
Boscain, Ugo
2002
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
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.
2002
On the minimum time problem for driftless left-invariant control systems on $$SO(3)$$. Zbl 1034.49015
Boscain, Ugo; Chitour, Yacine
2002
On automaton recognizability of abnormal extremals. Zbl 1024.49020
Boscain, Ugo; Piccoli, Benedetto
2002
Extremal synthesis for generic planar systems. Zbl 1013.49025
Boscain, Ugo; Piccoli, Benedetto
2001
Morse properties for the minimum time function on 2-D manifolds. Zbl 1041.58005
Boscain, Ugo; Piccoli, Benedetto
2001
Geometric control approach to synthesis theory. Zbl 1028.49031
Boscain, U.; Piccoli, B.
1998
all top 5

#### Cited by 585 Authors

 34 Boscain, Ugo 30 Sachkov, Yuriĭ Leonidovich 27 Sigalotti, Mario 20 Barilari, Davide 17 Agrachev, Andreĭ Aleksandrovich 16 Rizzi, Luca 15 Duits, Remco 11 Beauchard, Karine 11 Mason, Paolo 10 Bonnard, Bernard 10 Prandi, Dario 10 Rossi, Francesco 9 Citti, Giovanna 9 Gauthier, Jean-Paul A. 9 Le Donne, Enrico 9 Mashtakov, Alexey P. 9 Sarti, Alessandro 8 Boarotto, Francesco 8 Chambrion, Thomas 7 Ardentov, Andrei A. 7 Bayen, Térence 7 Bekkers, Erik J. 7 Charlot, Grégoire 7 Morancey, Morgan 6 Chitour, Yacine 6 Ghezzi, Roberta 6 Laurent, Camille 6 Margaliot, Michael 6 Neel, Robert Weston 6 Nersesyan, Vahagn 6 Polidoro, Sergio 5 Bauer, Wolfram 5 Berestovskiĭ, Valeriĭ Nikolaevich 5 Beschastnyi, Ivan Yu. 5 Cinti, Chiara 5 D’Alessandro, Domenico 5 Dong, Daoyi 5 Furutani, Kenro 5 Gordina, Maria 5 Markina, Irina 5 Ottazzi, Alessandro 5 Podobryaev, Alekseĭ V. 5 Sugny, Dominique 5 Trélat, Emmanuel 5 Xiang, Cheng 4 Bacciotti, Andrea 4 Balde, Moussa 4 Baudoin, Fabrice 4 Caponigro, Marco 4 Cots, Olivier 4 Duca, Alessandro 4 Grong, Erlend 4 Iwasaki, Chisato 4 Jean, Frédéric 4 Mairet, Francis 4 Martini, Alessio 4 Petersen, Ian Richard 4 Respondek, Witold 4 Speight, Gareth 4 Vallarino, Maria 4 Vittone, Davide 4 Zubareva, Irina Aleksandrovna 3 Albertini, Francesca 3 Arguillère, Sylvain 3 Ayala, Victor 3 Biggs, Rory 3 Biolo, Carolina 3 Borzì, Alfio 3 Choi, Woocheol 3 Cong, Shen 3 Coron, Jean-Michel 3 Ghosh, Arpan 3 Godoy Molina, Mauricio 3 Greshnov, Aleksandr Valer’evich 3 Hermosilla, Cristopher 3 Huang, Zhihong 3 Jouan, Philippe 3 Kuznetsov, M. V. 3 Lee, Tong Heng 3 Paoli, Elisa 3 Pinamonti, Andrea 3 Ponge, Raphaël S. 3 Portegies, Jorg M. 3 Remizov, Alexey O. 3 Rouchon, Pierre 3 Sacchelli, Ludovic 3 Sanguinetti, G. R. 3 Serres, Ulysse 3 Shcherbakova, Nataliya 3 ter Haar Romeny, Bart M. 3 Thalmaier, Anton 3 Tryamkin, Maksim Vladimirovich 3 Wang, Jing 2 Abbasi-Sureshjani, Samaneh 2 Ancona, Fabio 2 Aronna, María Soledad 2 Bally, Vlad 2 Balogh, Zoltán M. 2 Bhatti, Aamer Iqbal 2 Brody, Dorje C. ...and 485 more Authors
all top 5

#### Cited in 136 Serials

 35 Journal of Dynamical and Control Systems 24 SIAM Journal on Control and Optimization 21 Automatica 17 Systems & Control Letters 16 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 14 Journal of Mathematical Imaging and Vision 13 Journal of Mathematical Physics 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 International Journal of Control 12 Calculus of Variations and Partial Differential Equations 11 The Journal of Geometric Analysis 10 Siberian Mathematical Journal 9 Journal of Differential Equations 9 Differential Geometry and its Applications 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Potential Analysis 7 Journal of Functional Analysis 6 Journal of Mathematical Sciences (New York) 6 Quantum Information Processing 5 Journal of Mathematical Analysis and Applications 5 Mathematical Notes 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Mathematische Zeitschrift 5 MCSS. Mathematics of Control, Signals, and Systems 5 Doklady Mathematics 5 Regular and Chaotic Dynamics 4 Communications in Mathematical Physics 4 Journal of Geometry and Physics 4 Journal of Optimization Theory and Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Sbornik: Mathematics 4 Discrete and Continuous Dynamical Systems 4 Journal of Physics A: Mathematical and Theoretical 4 Nelineĭnaya Dinamika 3 International Journal of Theoretical Physics 3 Physics Letters. A 3 Advances in Mathematics 3 Annales de l’Institut Fourier 3 Mathematische Annalen 3 Optimal Control Applications & Methods 3 Revista Matemática Iberoamericana 3 Communications in Partial Differential Equations 3 The Journal of Fourier Analysis and Applications 3 Journal of Systems Science and Complexity 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Nonlinear Analysis. Hybrid Systems 3 SIAM Journal on Imaging Sciences 3 Journal of Geometric Mechanics 3 Mathematical Control and Related Fields 3 Analysis and Geometry in Metric Spaces 2 International Journal of Systems Science 2 Inventiones Mathematicae 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Geometric and Functional Analysis. GAFA 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied and Computational Harmonic Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Computational Neuroscience 2 European Journal of Control 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Differential Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of the Institute of Mathematics of Jussieu 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Applied Analysis and Computation 2 Control Theory and Technology 2 Journal de l’École Polytechnique – Mathématiques 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Applicable Analysis 1 Biological Cybernetics 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Note di Matematica 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 Probability Theory and Related Fields 1 Journal of Scientific Computing 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Neural Computation 1 The Annals of Applied Probability 1 Journal of Global Optimization 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences ...and 36 more Serials
all top 5

#### Cited in 46 Fields

 193 Differential geometry (53-XX) 150 Systems theory; control (93-XX) 145 Calculus of variations and optimal control; optimization (49-XX) 90 Partial differential equations (35-XX) 77 Global analysis, analysis on manifolds (58-XX) 71 Quantum theory (81-XX) 54 Topological groups, Lie groups (22-XX) 32 Biology and other natural sciences (92-XX) 30 Ordinary differential equations (34-XX) 20 Probability theory and stochastic processes (60-XX) 18 Numerical analysis (65-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Abstract harmonic analysis (43-XX) 14 Information and communication theory, circuits (94-XX) 13 Mechanics of particles and systems (70-XX) 11 Operator theory (47-XX) 10 Measure and integration (28-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 General topology (54-XX) 8 Computer science (68-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Functional analysis (46-XX) 5 Functions of a complex variable (30-XX) 5 Manifolds and cell complexes (57-XX) 5 Operations research, mathematical programming (90-XX) 4 Real functions (26-XX) 4 Potential theory (31-XX) 4 Geometry (51-XX) 4 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Algebraic geometry (14-XX) 3 Special functions (33-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Integral equations (45-XX)