Edit Profile Boscain, Ugo Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 1165.58012Agrachev, Andrei; Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco 56 2009 Introduction to geodesics in sub-Riemannian geometry. Zbl 1362.53001Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 54 2016 Invariant Carnot-Carathéodory metrics on \(S^3, \mathrm{SO}(3), \mathrm{SL}(2)\), and lens spaces. Zbl 1170.53016Boscain, Ugo; Rossi, Francesco 43 2008 Optimal syntheses for control systems on 2-D manifolds. Zbl 1137.49001Boscain, Ugo; Piccoli, Benedetto 43 2004 On the Hausdorff volume in sub-Riemannian geometry. Zbl 1236.53030Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 41 2012 Controllability of the discrete-spectrum Schrödinger equation driven by an external field. Zbl 1161.35049Chambrion, Thomas; Mason, Paolo; Sigalotti, Mario; Boscain, Ugo 38 2009 Stability of planar switched systems: The linear single input case. Zbl 1012.93055Boscain, Ugo 38 2002 Time minimal trajectories for a spin 1/2 particle in a magnetic field. Zbl 1112.81098Boscain, Ugo; Mason, Paolo 34 2006 A comprehensive introduction to sub-Riemannian geometry. From the Hamiltonian viewpoint. With an appendix by Igor Zelenko. Zbl 07073879Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 27 2020 A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule. Zbl 1267.35177Boscain, U.; Caponigro, M.; Chambrion, T.; Sigalotti, M. 27 2012 A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds. Zbl 1198.49041Agrachev, Andrei; Boscain, Ugo; Sigalotti, Mario 27 2008 Optimal control in laser-induced population transfer for two- and three-level quantum systems. Zbl 1059.81195Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul; Guérin, Stéphane; Jauslin, Hans-Rudolf 27 2002 Small-time heat kernel asymptotics at the sub-Riemannian cut locus. Zbl 1270.53066Barilari, Davide; Boscain, Ugo; Neel, Robert W. 26 2012 Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy. Zbl 1084.81083Boscain, Ugo; Chambrion, Thomas; Charlot, Grégoire 24 2005 A note on stability conditions for planar switched systems. Zbl 1178.93121Balde, Moussa; Boscain, Ugo; Mason, Paolo 20 2009 Common polynomial Lyapunov functions for linear switched systems. Zbl 1132.93038Mason, Paolo; Boscain, Ugo; Chitour, Yacine 20 2006 Association fields via cuspless sub-Riemannian geodesics in SE(2). Zbl 1296.49040Duits, R.; Boscain, U.; Rossi, F.; Sachkov, Y. 19 2014 The Laplace-Beltrami operator in almost-Riemannian geometry. Zbl 1314.58017Boscain, Ugo; Laurent, Camille 18 2013 Two-dimensional almost-Riemannian structures with tangency points. Zbl 1192.53029Agrachev, A. A.; Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M. 16 2010 Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O. 15 2014 Curve cuspless reconstruction via sub-Riemannian geometry. Zbl 1381.49003Boscain, Ugo; Duits, Remco; Rossi, Francesco; Sachkov, Yuri 15 2014 Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum. Zbl 1284.93039Boscain, Ugo; Caponigro, Marco; Sigalotti, Mario 15 2014 Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011Boscain, Ugo; Duplaix, Jean; Gauthier, Jean-Paul; Rossi, Francesco 14 2012 Gaussian estimates for hypoelliptic operators via optimal control. Zbl 1146.35026Boscain, Ugo; Polidoro, Sergio 14 2007 Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems. Zbl 1306.81051Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco; Sigalotti, Mario 13 2015 On the \(K+P\) problem for a three-level quantum system: Optimality implies resonance. Zbl 1022.53028Boscain, U.; Chambrion, T.; Gauthier, J.-P. 13 2002 Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues. Zbl 1369.81041Boscain, Ugo V.; Chittaro, Francesca; Mason, Paolo; Sigalotti, Mario 11 2012 Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions. Zbl 1377.49006Barilari, Davide; Boscain, Ugo; Le Donne, Enrico; Sigalotti, Mario 10 2017 Time-optimal synthesis for left-invariant control systems on series \(\operatorname{SO}(3)\). Zbl 1083.49025Boscain, Ugo; Chitour, Yacine 9 2005 Self-adjoint extensions and stochastic completeness of the Laplace-Beltrami operator on conic and anticonic surfaces. Zbl 1331.53063Boscain, Ugo; Prandi, Dario 8 2016 Extremal synthesis for generic planar systems. Zbl 1013.49025Boscain, Ugo; Piccoli, Benedetto 8 2001 Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry. Zbl 1378.53043Boscain, Ugo; Neel, Robert; Rizzi, Luca 7 2017 Minimal time trajectories for two-level quantum systems with two bounded controls. Zbl 1305.81089Boscain, Ugo; Grönberg, Fredrik; Long, Ruixing; Rabitz, Herschel 7 2014 Existence of planar curves minimizing length and curvature. Zbl 1215.53006Boscain, Ugo; Charlot, Grégoire; Rossi, Francesco 7 2010 Image processing in the semidiscrete group of rototranslations. Zbl 1406.94005Prandi, Dario; Boscain, Ugo; Gauthier, Jean-Paul 6 2015 Normal forms and invariants for 2-dimensional almost-Riemannian structures. Zbl 1260.53063Boscain, U.; Charlot, G.; Ghezzi, R. 6 2013 Lipschitz classification of almost-Riemannian distances on compact oriented surfaces. Zbl 1259.53031Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M. 6 2013 On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul 6 2012 Stability of planar switched systems: the nondiagonalizable case. Zbl 1147.93038Balde, Moussa; Boscain, Ugo 6 2008 Resonance of minimizers for \(n\)-level quantum systems with an arbitrary cost. Zbl 1072.49002Boscain, Ugo; Charlot, Grégoire 6 2004 On the heat diffusion for generic Riemannian and sub-Riemannian structures. Zbl 1405.58006Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W. 5 2017 Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups. Zbl 1309.58001Boscain, U.; Gauthier, J.-P.; Rossi, F. 5 2014 High-order angles in almost-Riemannian geometry. Zbl 1159.53320Boscain, Ugo; Sigalotti, Mario 5 2007 Adiabatic ensemble control of a continuum of quantum systems. Zbl 1401.81055Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 4 2018 On the control of spin-boson systems. Zbl 1322.81062Boscain, Ugo; Mason, Paolo; Panati, Gianluca; Sigalotti, Mario 4 2015 Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 3 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 1343.53001Barilari, Davide (ed.); Boscain, Ugo (ed.); Sigalotti, Mario (ed.) 3 2016 Local properties of almost-Riemannian structures in dimension 3. Zbl 1335.53039Mason, Paolo; Gaye, Moussa; Charlot, Gregoire; Boscain, Ugo 3 2015 Small-time asymptotics of the heat kernel of Riemannian and sub-Riemannian metrics. Zbl 1375.53050Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W. 3 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 1287.49001Stefani, Gianna (ed.); Boscain, Ugo (ed.); Gauthier, Jean-Paul (ed.); Sarychev, Andrey (ed.); Sigalotti, Mario (ed.) 3 2014 On the spherical Hausdorff measure in step 2 corank 2 sub-Riemannian geometry. Zbl 1318.53021Boscain, Ugo; Gauthier, Jean-Paul 3 2013 Projective Reeds-Shepp car on \(S^2\) with quadratic cost. Zbl 1217.49034Boscain, Ugo; Rossi, Francesco 3 2010 On the minimum time problem for driftless left-invariant control systems on \(SO(3)\). Zbl 1034.49015Boscain, Ugo; Chitour, Yacine 3 2002 Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling. Zbl 06996638Agrachev, Andrei; Boscain, Ugo; Neel, Robert; Rizzi, Luca 2 2018 Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds. Zbl 1342.35196Boscain, U.; Prandi, D.; Seri, M. 2 2016 An introduction to optimal control. Zbl 1093.49001Boscain, Ugo; Piccoli, Benetto 2 2005 Optimal control of the Schrödinger equation with two or three levels. Zbl 1009.93060Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul 2 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 1351.53003Barilari, Davide (ed.); Boscain, Ugo (ed.); Sigalotti, Mario (ed.) 1 2016 Lyapunov and minimum-time path planning for drones. Zbl 1328.93205Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse 1 2015 What can we hope about output tracking of bilinear quantum systems? Zbl 1216.81083Boscain, U.; Chambrion, T.; Sigalotti, M.; Mason, P. 1 2010 A review on stability of switched systems for arbitrary switchings. Zbl 1206.93093Boscain, U. 1 2008 Limit time optimal synthesis for a control-affine system on \(S^2\). Zbl 1162.49002Mason, P.; Salmoni, R.; Boscain, U.; Chitour, Y. 1 2008 Stability of planar nonlinear switched systems. Zbl 1115.34048Boscain, Ugo; Charlot, Grégoire; Sigalotti, Mario 1 2006 On automaton recognizability of abnormal extremals. Zbl 1024.49020Boscain, Ugo; Piccoli, Benedetto 1 2002 Morse properties for the minimum time function on 2-D manifolds. Zbl 1041.58005Boscain, Ugo; Piccoli, Benedetto 1 2001 Geometric control approach to synthesis theory. Zbl 1028.49031Boscain, U.; Piccoli, B. 1 1998 A comprehensive introduction to sub-Riemannian geometry. From the Hamiltonian viewpoint. With an appendix by Igor Zelenko. Zbl 07073879Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 27 2020 Adiabatic ensemble control of a continuum of quantum systems. Zbl 1401.81055Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario 4 2018 Highly corrupted image inpainting through hypoelliptic diffusion. Zbl 1406.94004Boscain, Ugo V.; Chertovskih, Roman; Gauthier, Jean-Paul; Prandi, Dario; Remizov, Alexey 3 2018 Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling. Zbl 06996638Agrachev, Andrei; Boscain, Ugo; Neel, Robert; Rizzi, Luca 2 2018 Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions. Zbl 1377.49006Barilari, Davide; Boscain, Ugo; Le Donne, Enrico; Sigalotti, Mario 10 2017 Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry. Zbl 1378.53043Boscain, Ugo; Neel, Robert; Rizzi, Luca 7 2017 On the heat diffusion for generic Riemannian and sub-Riemannian structures. Zbl 1405.58006Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W. 5 2017 Introduction to geodesics in sub-Riemannian geometry. Zbl 1362.53001Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 54 2016 Self-adjoint extensions and stochastic completeness of the Laplace-Beltrami operator on conic and anticonic surfaces. Zbl 1331.53063Boscain, Ugo; Prandi, Dario 8 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 1343.53001Barilari, Davide (ed.); Boscain, Ugo (ed.); Sigalotti, Mario (ed.) 3 2016 Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds. Zbl 1342.35196Boscain, U.; Prandi, D.; Seri, M. 2 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 1351.53003Barilari, Davide (ed.); Boscain, Ugo (ed.); Sigalotti, Mario (ed.) 1 2016 Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems. Zbl 1306.81051Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco; Sigalotti, Mario 13 2015 Image processing in the semidiscrete group of rototranslations. Zbl 1406.94005Prandi, Dario; Boscain, Ugo; Gauthier, Jean-Paul 6 2015 On the control of spin-boson systems. Zbl 1322.81062Boscain, Ugo; Mason, Paolo; Panati, Gianluca; Sigalotti, Mario 4 2015 Local properties of almost-Riemannian structures in dimension 3. Zbl 1335.53039Mason, Paolo; Gaye, Moussa; Charlot, Gregoire; Boscain, Ugo 3 2015 Lyapunov and minimum-time path planning for drones. Zbl 1328.93205Maillot, Thibault; Boscain, Ugo; Gauthier, Jean-Paul; Serres, Ulysse 1 2015 Association fields via cuspless sub-Riemannian geodesics in SE(2). Zbl 1296.49040Duits, R.; Boscain, U.; Rossi, F.; Sachkov, Y. 19 2014 Hypoelliptic diffusion and human vision: a semidiscrete new twist. Zbl 1343.94002Boscain, U.; Chertovskih, R. A.; Gauthier, J. P.; Remizov, A. O. 15 2014 Curve cuspless reconstruction via sub-Riemannian geometry. Zbl 1381.49003Boscain, Ugo; Duits, Remco; Rossi, Francesco; Sachkov, Yuri 15 2014 Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum. Zbl 1284.93039Boscain, Ugo; Caponigro, Marco; Sigalotti, Mario 15 2014 Minimal time trajectories for two-level quantum systems with two bounded controls. Zbl 1305.81089Boscain, Ugo; Grönberg, Fredrik; Long, Ruixing; Rabitz, Herschel 7 2014 Hypoelliptic heat kernel over \(3\)-step nilpotent Lie groups. Zbl 1309.58001Boscain, U.; Gauthier, J.-P.; Rossi, F. 5 2014 Small-time asymptotics of the heat kernel of Riemannian and sub-Riemannian metrics. Zbl 1375.53050Barilari, Davide; Boscain, Ugo; Charlot, Grégoire; Neel, Robert W. 3 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 1287.49001Stefani, Gianna (ed.); Boscain, Ugo (ed.); Gauthier, Jean-Paul (ed.); Sarychev, Andrey (ed.); Sigalotti, Mario (ed.) 3 2014 The Laplace-Beltrami operator in almost-Riemannian geometry. Zbl 1314.58017Boscain, Ugo; Laurent, Camille 18 2013 Normal forms and invariants for 2-dimensional almost-Riemannian structures. Zbl 1260.53063Boscain, U.; Charlot, G.; Ghezzi, R. 6 2013 Lipschitz classification of almost-Riemannian distances on compact oriented surfaces. Zbl 1259.53031Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M. 6 2013 On the spherical Hausdorff measure in step 2 corank 2 sub-Riemannian geometry. Zbl 1318.53021Boscain, Ugo; Gauthier, Jean-Paul 3 2013 On the Hausdorff volume in sub-Riemannian geometry. Zbl 1236.53030Agrachev, Andrei; Barilari, Davide; Boscain, Ugo 41 2012 A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule. Zbl 1267.35177Boscain, U.; Caponigro, M.; Chambrion, T.; Sigalotti, M. 27 2012 Small-time heat kernel asymptotics at the sub-Riemannian cut locus. Zbl 1270.53066Barilari, Davide; Boscain, Ugo; Neel, Robert W. 26 2012 Anthropomorphic image reconstruction via hypoelliptic diffusion. Zbl 1259.94011Boscain, Ugo; Duplaix, Jean; Gauthier, Jean-Paul; Rossi, Francesco 14 2012 Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues. Zbl 1369.81041Boscain, Ugo V.; Chittaro, Francesca; Mason, Paolo; Sigalotti, Mario 11 2012 On 2-step, corank 2, nilpotent sub-Riemannian metrics. Zbl 1243.53064Barilari, Davide; Boscain, Ugo; Gauthier, Jean-Paul 6 2012 Two-dimensional almost-Riemannian structures with tangency points. Zbl 1192.53029Agrachev, A. A.; Boscain, U.; Charlot, G.; Ghezzi, R.; Sigalotti, M. 16 2010 Existence of planar curves minimizing length and curvature. Zbl 1215.53006Boscain, Ugo; Charlot, Grégoire; Rossi, Francesco 7 2010 Projective Reeds-Shepp car on \(S^2\) with quadratic cost. Zbl 1217.49034Boscain, Ugo; Rossi, Francesco 3 2010 What can we hope about output tracking of bilinear quantum systems? Zbl 1216.81083Boscain, U.; Chambrion, T.; Sigalotti, M.; Mason, P. 1 2010 The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups. Zbl 1165.58012Agrachev, Andrei; Boscain, Ugo; Gauthier, Jean-Paul; Rossi, Francesco 56 2009 Controllability of the discrete-spectrum Schrödinger equation driven by an external field. Zbl 1161.35049Chambrion, Thomas; Mason, Paolo; Sigalotti, Mario; Boscain, Ugo 38 2009 A note on stability conditions for planar switched systems. Zbl 1178.93121Balde, Moussa; Boscain, Ugo; Mason, Paolo 20 2009 Invariant Carnot-Carathéodory metrics on \(S^3, \mathrm{SO}(3), \mathrm{SL}(2)\), and lens spaces. Zbl 1170.53016Boscain, Ugo; Rossi, Francesco 43 2008 A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds. Zbl 1198.49041Agrachev, Andrei; Boscain, Ugo; Sigalotti, Mario 27 2008 Stability of planar switched systems: the nondiagonalizable case. Zbl 1147.93038Balde, Moussa; Boscain, Ugo 6 2008 A review on stability of switched systems for arbitrary switchings. Zbl 1206.93093Boscain, U. 1 2008 Limit time optimal synthesis for a control-affine system on \(S^2\). Zbl 1162.49002Mason, P.; Salmoni, R.; Boscain, U.; Chitour, Y. 1 2008 Gaussian estimates for hypoelliptic operators via optimal control. Zbl 1146.35026Boscain, Ugo; Polidoro, Sergio 14 2007 High-order angles in almost-Riemannian geometry. Zbl 1159.53320Boscain, Ugo; Sigalotti, Mario 5 2007 Time minimal trajectories for a spin 1/2 particle in a magnetic field. Zbl 1112.81098Boscain, Ugo; Mason, Paolo 34 2006 Common polynomial Lyapunov functions for linear switched systems. Zbl 1132.93038Mason, Paolo; Boscain, Ugo; Chitour, Yacine 20 2006 Stability of planar nonlinear switched systems. Zbl 1115.34048Boscain, Ugo; Charlot, Grégoire; Sigalotti, Mario 1 2006 Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy. Zbl 1084.81083Boscain, Ugo; Chambrion, Thomas; Charlot, Grégoire 24 2005 Time-optimal synthesis for left-invariant control systems on series \(\operatorname{SO}(3)\). Zbl 1083.49025Boscain, Ugo; Chitour, Yacine 9 2005 An introduction to optimal control. Zbl 1093.49001Boscain, Ugo; Piccoli, Benetto 2 2005 Optimal syntheses for control systems on 2-D manifolds. Zbl 1137.49001Boscain, Ugo; Piccoli, Benedetto 43 2004 Resonance of minimizers for \(n\)-level quantum systems with an arbitrary cost. Zbl 1072.49002Boscain, Ugo; Charlot, Grégoire 6 2004 Optimal control of the Schrödinger equation with two or three levels. Zbl 1009.93060Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul 2 2003 Stability of planar switched systems: The linear single input case. Zbl 1012.93055Boscain, Ugo 38 2002 Optimal control in laser-induced population transfer for two- and three-level quantum systems. Zbl 1059.81195Boscain, Ugo; Charlot, Grégoire; Gauthier, Jean-Paul; Guérin, Stéphane; Jauslin, Hans-Rudolf 27 2002 On the \(K+P\) problem for a three-level quantum system: Optimality implies resonance. Zbl 1022.53028Boscain, U.; Chambrion, T.; Gauthier, J.-P. 13 2002 On the minimum time problem for driftless left-invariant control systems on \(SO(3)\). Zbl 1034.49015Boscain, Ugo; Chitour, Yacine 3 2002 On automaton recognizability of abnormal extremals. Zbl 1024.49020Boscain, Ugo; Piccoli, Benedetto 1 2002 Extremal synthesis for generic planar systems. Zbl 1013.49025Boscain, Ugo; Piccoli, Benedetto 8 2001 Morse properties for the minimum time function on 2-D manifolds. Zbl 1041.58005Boscain, Ugo; Piccoli, Benedetto 1 2001 Geometric control approach to synthesis theory. Zbl 1028.49031Boscain, U.; Piccoli, B. 1 1998 all cited Publications top 5 cited Publications 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) Citations by Year