## Boscain, Ugo

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 Author ID: boscain.ugo Published as: Boscain, Ugo; Boscain, U.; Boscain, Ugo V. more...less Homepage: http://www.cmapx.polytechnique.fr/~boscain/ External Links: MGP
 Documents Indexed: 86 Publications since 1998, including 2 Books 4 Contributions as Editor Co-Authors: 51 Co-Authors with 87 Joint Publications 819 Co-Co-Authors
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### Co-Authors

 3 single-authored 27 Sigalotti, Mario 17 Gauthier, Jean-Paul A. 13 Barilari, Davide 13 Charlot, Grégoire 10 Mason, Paolo 10 Rossi, Francesco 8 Agrachev, Andreĭ Aleksandrovich 8 Prandi, Dario 7 Neel, Robert Weston 7 Piccoli, Benedetto 6 Chambrion, Thomas 4 Augier, Nicolas 4 Chitour, Yacine 4 Remizov, Alexey O. 3 Chertovskih, Roman A. 3 Ghezzi, Roberta 3 Sacchelli, Ludovic 2 Balde, Moussa 2 Cannarsa, Daniele 2 Caponigro, Marco 2 Duits, Remco 2 Duplaix, Jean 2 Polidoro, Sergio 2 Rizzi, Luca 2 Sachkov, Yuriĭ Leonidovich 2 Turco, Giuseppina 1 Adami, Riccardo 1 Asswad, Rand 1 Beschastnyi, Ivan Yu. 1 Chittaro, Francesca C. 1 Franceschi, Valentina 1 Gaye, Moussa 1 Grönberg, Fredrik 1 Guérin, Stéphane 1 Habermann, Karen 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 Robin, Rémi 1 Salmoni, R. 1 Seri, Marcello 1 Serres, Ulysse 1 Stefani, Gianna 1 Zelenko, Igor
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### Serials

 11 SIAM Journal on Control and Optimization 5 Journal of Mathematical Physics 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Journal of Dynamical and Control Systems 3 Journal of Differential Equations 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Discrete and Continuous Dynamical Systems 2 Communications in Mathematical Physics 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 Automatica 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 l’Institut Henri Poincaré. Probabilités et Statistiques 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 The Journal of Mathematical Neuroscience 1 Mathematical Control and Related Fields 1 Springer INdAM Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
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### Fields

 43 Differential geometry (53-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 24 Systems theory; control (93-XX) 20 Partial differential equations (35-XX) 20 Global analysis, analysis on manifolds (58-XX) 20 Quantum theory (81-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Biology and other natural sciences (92-XX) 7 Information and communication theory, circuits (94-XX) 5 Ordinary differential equations (34-XX) 4 General and overarching topics; collections (00-XX) 4 Topological groups, Lie groups (22-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of particles and systems (70-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

76 Publications have been cited 1,009 times in 571 Documents Cited by Year
Introduction to geodesics in sub-Riemannian geometry. Zbl 1362.53001
Agrachev, Andrei; Barilari, Davide; Boscain, Ugo
2016
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
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
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
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
On the Hausdorff volume in sub-Riemannian geometry. Zbl 1236.53030
Agrachev, Andrei; Barilari, Davide; Boscain, Ugo
2012
Time minimal trajectories for a spin 1/2 particle in a magnetic field. Zbl 1112.81098
Boscain, Ugo; Mason, Paolo
2006
A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds. Zbl 1198.49041
Agrachev, Andrei; Boscain, Ugo; Sigalotti, Mario
2008
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
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
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
Association fields via cuspless sub-Riemannian geodesics in SE(2). Zbl 1296.49040
Duits, R.; Boscain, U.; Rossi, F.; Sachkov, Y.
2014
Common polynomial Lyapunov functions for linear switched systems. Zbl 1132.93038
Mason, Paolo; Boscain, Ugo; Chitour, Yacine
2006
The Laplace-Beltrami operator in almost-Riemannian geometry. (L’opérateur de Laplace-Beltrami en géométrie presque-Riemannienne.) Zbl 1314.58017
Boscain, Ugo; Laurent, Camille
2013
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
Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002
Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O.
2014
Two-dimensional almost-Riemannian structures with tangency points. Zbl 1192.53029
Agrachev, A. A.; Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M.
2010
Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum. Zbl 1284.93039
Boscain, Ugo; Caponigro, Marco; Sigalotti, Mario
2014
Curve cuspless reconstruction via sub-Riemannian geometry. Zbl 1381.49003
Boscain, Ugo; Duits, Remco; Rossi, Francesco; Sachkov, Yuri
2014
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
Gaussian estimates for hypoelliptic operators via optimal control. Zbl 1146.35026
Boscain, Ugo; Polidoro, Sergio
2007
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
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
Adiabatic ensemble control of a continuum of quantum systems. Zbl 1401.81055
Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario
2018
Extremal synthesis for generic planar systems. Zbl 1013.49025
Boscain, Ugo; Piccoli, Benedetto
2001
Lipschitz classification of almost-Riemannian distances on compact oriented surfaces. Zbl 1259.53031
Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M.
2013
Normal forms and invariants for 2-dimensional almost-Riemannian structures. Zbl 1260.53063
Boscain, U.; Charlot, G.; Ghezzi, R.
2013
Minimal time trajectories for two-level quantum systems with two bounded controls. Zbl 1305.81089
Boscain, Ugo; Grönberg, Fredrik; Long, Ruixing; Rabitz, Herschel
2014
Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004
Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey
2018
Hypoelliptic heat kernel over $$3$$-step nilpotent Lie groups. Zbl 1309.58001
Boscain, U.; Gauthier, J.-P.; Rossi, F.
2014
Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry. Zbl 1378.53043
Boscain, Ugo; Neel, Robert; Rizzi, Luca
2017
Existence of planar curves minimizing length and curvature. Zbl 1215.53006
Boscain, Ugo; Charlot, Grégoire; Rossi, Francesco
2010
On the heat diffusion for generic Riemannian and sub-Riemannian structures. Zbl 1405.58006
Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W.
2017
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 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064
Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul
2012
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
High-order angles in almost-Riemannian geometry. Zbl 1159.53320
Boscain, Ugo; Sigalotti, Mario
2007
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
2016
Local properties of almost-Riemannian structures in dimension 3. Zbl 1335.53039
Mason, Paolo; Gaye, Moussa; Charlot, Gregoire; Boscain, Ugo
2015
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
2014
On the spherical Hausdorff measure in step 2 corank 2 sub-Riemannian geometry. Zbl 1318.53021
Boscain, Ugo; Gauthier, Jean-Paul
2013
An introduction to optimal control. Zbl 1093.49001
Boscain, Ugo; Piccoli, Benetto
2005
On the minimum time problem for driftless left-invariant control systems on $$SO(3)$$. Zbl 1034.49015
Boscain, Ugo; Chitour, Yacine
2002
Projective Reeds-Shepp car on $$S^2$$ with quadratic cost. Zbl 1217.49034
Boscain, Ugo; Rossi, Francesco
2010
Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling. Zbl 1481.53041
Agrachev, Andrei; Boscain, Ugo; Neel, Robert; Rizzi, Luca
2018
Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems. Zbl 1462.81103
Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario
2020
Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group. Zbl 1437.58018
Barilari, Davide; Boscain, Ugo; Neel, Robert W.
2019
Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds. Zbl 1342.35196
Boscain, U.; Prandi, D.; Seri, M.
2016
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
Lyapunov and minimum-time path planning for drones. Zbl 1328.93205
Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse
2015
Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. Zbl 07007408
Boscain, Ugo; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey
2018
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
What can we hope about output tracking of bilinear quantum systems? Zbl 1216.81083
Boscain, U.; Chambrion, T.; Sigalotti, M.; Mason, P.
2010
A bio-inspired geometric model for sound reconstruction. Zbl 1467.92013
Boscain, Ugo; Prandi, Dario; Sacchelli, Ludovic; Turco, Giuseppina
2021
Classical and quantum controllability of a rotating symmetric molecule. Zbl 1471.81040
Boscain, Ugo; Pozzoli, Eugenio; Sigalotti, Mario
2021
On automaton recognizability of abnormal extremals. Zbl 1024.49020
Boscain, Ugo; Piccoli, Benedetto
2002
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
2016
Generic singularities of line fields on 2D manifolds. Zbl 1354.37029
Boscain, Ugo; Sacchelli, Ludovic; Sigalotti, Mario
2016
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
A review on stability of switched systems for arbitrary switchings. Zbl 1206.93093
Boscain, U.
2008
On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds. Zbl 07466630
Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele
2022
Extensions of Brownian motion to a family of Grushin-type singularities. Zbl 1439.58020
Boscain, Ugo; Neel, Robert W.
2020
Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation. Zbl 1483.81083
Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario
2022
Stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds. Zbl 07481253
Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele; Habermann, Karen
2021
On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds. Zbl 07466630
Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele
2022
Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation. Zbl 1483.81083
Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario
2022
A bio-inspired geometric model for sound reconstruction. Zbl 1467.92013
Boscain, Ugo; Prandi, Dario; Sacchelli, Ludovic; Turco, Giuseppina
2021
Classical and quantum controllability of a rotating symmetric molecule. Zbl 1471.81040
Boscain, Ugo; Pozzoli, Eugenio; Sigalotti, Mario
2021
Stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds. Zbl 07481253
Barilari, Davide; Boscain, Ugo; Cannarsa, Daniele; Habermann, Karen
2021
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
Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems. Zbl 1462.81103
Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario
2020
Extensions of Brownian motion to a family of Grushin-type singularities. Zbl 1439.58020
Boscain, Ugo; Neel, Robert W.
2020
Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group. Zbl 1437.58018
Barilari, Davide; Boscain, Ugo; Neel, Robert W.
2019
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 1481.53041
Agrachev, Andrei; Boscain, Ugo; Neel, Robert; Rizzi, Luca
2018
Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. Zbl 07007408
Boscain, Ugo; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey
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
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
2016
Generic singularities of line fields on 2D manifolds. Zbl 1354.37029
Boscain, Ugo; Sacchelli, Ludovic; Sigalotti, Mario
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
Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum. Zbl 1284.93039
Boscain, Ugo; Caponigro, Marco; Sigalotti, Mario
2014
Curve cuspless reconstruction via sub-Riemannian geometry. Zbl 1381.49003
Boscain, Ugo; Duits, Remco; Rossi, Francesco; Sachkov, Yuri
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
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
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
The Laplace-Beltrami operator in almost-Riemannian geometry. (L’opérateur de Laplace-Beltrami en géométrie presque-Riemannienne.) Zbl 1314.58017
Boscain, Ugo; Laurent, Camille
2013
Lipschitz classification of almost-Riemannian distances on compact oriented surfaces. Zbl 1259.53031
Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M.
2013
Normal forms and invariants for 2-dimensional almost-Riemannian structures. Zbl 1260.53063
Boscain, U.; Charlot, G.; Ghezzi, R.
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
Limit time optimal synthesis for a control-affine system on $$S^2$$. Zbl 1162.49002
Mason, P.; Salmoni, R.; Boscain, U.; Chitour, Y.
2008
A review on stability of switched systems for arbitrary switchings. Zbl 1206.93093
Boscain, U.
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
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### Cited by 645 Authors

 42 Boscain, Ugo 37 Sachkov, Yuriĭ Leonidovich 31 Sigalotti, Mario 22 Barilari, Davide 19 Agrachev, Andreĭ Aleksandrovich 16 Duits, Remco 16 Rizzi, Luca 14 Prandi, Dario 11 Beauchard, Karine 11 Bonnard, Bernard 11 Citti, Giovanna 11 Mason, Paolo 10 Gauthier, Jean-Paul A. 10 Le Donne, Enrico 10 Rossi, Francesco 10 Sarti, Alessandro 9 Ardentov, Andrei A. 9 Boarotto, Francesco 9 Laurent, Camille 9 Mashtakov, Alexey P. 8 Bayen, Térence 8 Chambrion, Thomas 8 Charlot, Grégoire 7 Bekkers, Erik J. 7 Beschastnyi, Ivan Yu. 7 Morancey, Morgan 7 Podobryaev, Alekseĭ V. 7 Sacchelli, Ludovic 7 Trélat, Emmanuel 6 Bauer, Wolfram 6 Chitour, Yacine 6 Duca, Alessandro 6 Ghezzi, Roberta 6 Margaliot, Michael 6 Neel, Robert Weston 6 Nersesyan, Vahagn 6 Polidoro, Sergio 6 Vallarino, Maria 5 Baudoin, Fabrice 5 Berestovskiĭ, Valeriĭ Nikolaevich 5 Cinti, Chiara 5 Cots, Olivier 5 D’Alessandro, Domenico 5 Dong, Daoyi 5 Furutani, Kenro 5 Gordina, Maria 5 Léautaud, Matthieu 5 Lee, Tong Heng 5 Markina, Irina 5 Ottazzi, Alessandro 5 Sachkova, Elena F. 5 Sugny, Dominique 5 Xiang, Cheng 4 Augier, Nicolas 4 Bacciotti, Andrea 4 Balde, Moussa 4 Bruno, Tommaso 4 Caponigro, Marco 4 Franceschi, Valentina 4 Greshnov, Aleksandr Valer’evich 4 Grong, Erlend 4 Hakavuori, Eero 4 Iwasaki, Chisato 4 Jean, Frédéric 4 Jouan, Philippe 4 Lokutsievskiy, Lev Viacheslavovich 4 Mairet, Francis 4 Martini, Alessio 4 Peloso, Marco Maria 4 Petersen, Ian Richard 4 Respondek, Witold 4 Speight, Gareth 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 Cannarsa, Daniele 3 Cannarsa, Piermarco 3 Choi, Woocheol 3 Cong, Shen 3 Coron, Jean-Michel 3 Franceschiello, Benedetta 3 Ghosh, Arpan 3 Godoy Molina, Mauricio 3 Habermann, Karen 3 Hermosilla, Cristopher 3 Huang, Zhihong 3 Kuznetsov, M. V. 3 Lerario, Antonio 3 Paoli, Elisa 3 Pinamonti, Andrea 3 Ponge, Raphaël S. 3 Portegies, Jorg M. 3 Pozzoli, Eugenio 3 Remizov, Alexey O. 3 Remsing, Claudiu-Cristian ...and 545 more Authors
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### Cited in 152 Serials

 39 Journal of Dynamical and Control Systems 27 SIAM Journal on Control and Optimization 24 Automatica 23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 19 Systems & Control Letters 17 Journal of Mathematical Imaging and Vision 16 The Journal of Geometric Analysis 14 International Journal of Control 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Journal of Mathematical Physics 13 Journal of Differential Equations 12 Calculus of Variations and Partial Differential Equations 11 Siberian Mathematical Journal 9 Differential Geometry and its Applications 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Potential Analysis 7 Journal of Functional Analysis 7 Doklady Mathematics 6 Mathematical Notes 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 MCSS. Mathematics of Control, Signals, and Systems 6 Journal of Mathematical Sciences (New York) 6 Quantum Information Processing 6 Mathematical Control and Related Fields 5 Journal of Mathematical Analysis and Applications 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Mathematische Zeitschrift 5 Discrete and Continuous Dynamical Systems 5 Regular and Chaotic Dynamics 5 Proceedings of the Steklov Institute of Mathematics 4 Communications in Mathematical Physics 4 International Journal of Theoretical Physics 4 Physics Letters. A 4 Journal of Geometry and Physics 4 Annales de l’Institut Fourier 4 Journal of Optimization Theory and Applications 4 Transactions of the American Mathematical Society 4 Sbornik: Mathematics 4 The Journal of Fourier Analysis and Applications 4 Nonlinear Analysis. Hybrid Systems 4 SIAM Journal on Imaging Sciences 4 Journal of Geometric Mechanics 4 Russian Journal of Nonlinear Dynamics 3 Advances in Mathematics 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Optimal Control Applications & Methods 3 Acta Applicandae Mathematicae 3 Revista Matemática Iberoamericana 3 Communications in Partial Differential Equations 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Differential Equations 3 Journal of Systems Science and Complexity 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Physics A: Mathematical and Theoretical 3 Analysis and Geometry in Metric Spaces 3 Séminaire Laurent Schwartz. EDP et Applications 2 International Journal of Systems Science 2 Memoirs of the American Mathematical Society 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Geometric and Functional Analysis. GAFA 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 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of the Institute of Mathematics of Jussieu 2 Analysis and Mathematical Physics 2 The Journal of Mathematical Neuroscience 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 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 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 ...and 52 more Serials
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### Cited in 47 Fields

 232 Differential geometry (53-XX) 173 Systems theory; control (93-XX) 165 Calculus of variations and optimal control; optimization (49-XX) 112 Partial differential equations (35-XX) 89 Global analysis, analysis on manifolds (58-XX) 81 Quantum theory (81-XX) 67 Topological groups, Lie groups (22-XX) 38 Biology and other natural sciences (92-XX) 37 Ordinary differential equations (34-XX) 24 Probability theory and stochastic processes (60-XX) 23 Abstract harmonic analysis (43-XX) 21 Dynamical systems and ergodic theory (37-XX) 20 Mechanics of particles and systems (70-XX) 19 Numerical analysis (65-XX) 18 Information and communication theory, circuits (94-XX) 15 Operator theory (47-XX) 14 Measure and integration (28-XX) 11 Computer science (68-XX) 9 Functional analysis (46-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 General topology (54-XX) 6 Real functions (26-XX) 6 Manifolds and cell complexes (57-XX) 5 Geometry (51-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Functions of a complex variable (30-XX) 4 Potential theory (31-XX) 4 Statistics (62-XX) 3 Algebraic geometry (14-XX) 3 Nonassociative rings and algebras (17-XX) 3 Special functions (33-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-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 Classical thermodynamics, heat transfer (80-XX)