Bibliography

Articles in International Peer-Reviewed Journal

• 1D. Barilari, U. Boscain, J.-P. Gauthier.
  
  On 2-step, corank 2 nilpotent sub-Riemannian metrics, in: SIAM J. Control Optim., 2012, to appear.
• 2U. Boscain, M. Caponigro, T. Chambrion, M. Sigalotti.
  
  A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule, in: Communications in Mathematical Physics, 2012, to appear.
• 3U. Boscain, G. Charlot, R. Ghezzi, M. Sigalotti.
  
  Lipschitz classification of almost-Riemannian distances on compact oriented surfaces , in: Journal of Geometric Analysis, 2012, to appear.
  
  http://www.springerlink.com/content/3771184321200437/
• 4U. Boscain, F. Chittaro, P. Mason, M. Sigalotti.
  
  Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues, in: IEEE Trans. Automat. Control, 2012, to appear.
• 5Y. Chitour, F. Jean, P. Mason.
  
  Optimal control models of the goal-oriented human locomotion, in: SIAM J. Control Optim., 2012, to appear.
• 6F. Chittaro, F. Jean, P. Mason.
  
  On the inverse optimal control problems of the human locomotion: stability and robustness of the minimizers, in: Journal of Mathematical Sciences, 2011.
• 7F. Lafont, E. Busvelle, J.-P. Gauthier.
  
  An adaptive high-gain observer for wastewater treatment systems, in: Journal of Process Control, 2011, p. 893–900.
• 8S. Methnani, J.-P. Gauthier, F. Lafont.
  
  Sensor fault reconstruction and observability for unknown inputs, with an application to wastewater treatment plants, in: International Journal of Control, 2011.
  
  http://www.informaworld.com/smpp/title~content=t713393989

National Conferences with Proceeding

• 9A. Ajami, T. Maillot, N. Boizot, J.-F. Balmat, J.-P. Gauthier.
  
  Simulation of a UAV ground control station, in: Performance, interoperability and safety for sustainable development, 2012.

Other Publications

• 10U. Boscain, J. Duplaix, J.-P. Gauthier, F. Rossi.
  
  Anthropomorphic image reconstruction via hypoelliptic diffusion.
  
  http://arxiv.org/abs/1006.3735
• 11Y. Chitour, G. Mazanti, M. Sigalotti.
  
  Stabilization of two-dimensional persistently excited linear control systems with arbitrary rate of convergence, 2011.
  
  http://hal.inria.fr/inria-00610345/en
• 12R. Ghezzi, F. Jean.
  
  A new class of $({\mathscr{H}}^k,1)$-rectifiable subsets of metric spaces, 2011.
  
  http://hal.archives-ouvertes.fr/hal-00623647/en/
• 13F. Hante, M. Sigalotti, M. Tucsnak.
  
  On conditions for asymptotic stability of dissipative infinite-dimensional systems with intermittent damping.
  
  http://hal.inria.fr/inria-00616474/en
• 14P. Mason, M. Sigalotti, J. Daafouz.
  
  Equivalence between classes of state-quadratic Lyapunov functions for discrete-time linear polytopic and switched systems.
  
  http://hal.inria.fr/inria-00629245/en

• 15A. A. Agrachev, T. Chambrion.
  
  An estimation of the controllability time for single-input systems on compact Lie groups, in: ESAIM Control Optim. Calc. Var., 2006, vol. 12, n^o 3, p. 409–441.
• 16A. A. Agrachev, D. Liberzon.
  
  Lie-algebraic stability criteria for switched systems, in: SIAM J. Control Optim., 2001, vol. 40, n^o 1, p. 253–269.
  
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• 17A. A. Agrachev, Y. L. Sachkov.
  
  Control theory from the geometric viewpoint, Encyclopaedia of Mathematical Sciences, Springer-Verlag, Berlin, 2004, vol. 87, Control Theory and Optimization, II.
• 18A. A. Agrachev, A. V. Sarychev.
  
  Navier-Stokes equations: controllability by means of low modes forcing, in: J. Math. Fluid Mech., 2005, vol. 7, n^o 1, p. 108–152.
  
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• 19F. Albertini, D. D'Alessandro.
  
  Notions of controllability for bilinear multilevel quantum systems, in: IEEE Trans. Automat. Control, 2003, vol. 48, n^o 8, p. 1399–1403.
• 20C. Altafini.
  
  Controllability properties for finite dimensional quantum Markovian master equations, in: J. Math. Phys., 2003, vol. 44, n^o 6, p. 2357–2372.
• 21L. Ambrosio, P. Tilli.
  
  Topics on analysis in metric spaces, Oxford Lecture Series in Mathematics and its Applications, Oxford University Press, Oxford, 2004, vol. 25.
• 22G. Arechavaleta, J.-P. Laumond, H. Hicheur, A. Berthoz.
  
  An optimality principle governing human locomotion, in: IEEE Trans. on Robotics, 2008, vol. 24, n^o 1.
• 23L. Baudouin.
  
  A bilinear optimal control problem applied to a time dependent Hartree-Fock equation coupled with classical nuclear dynamics, in: Port. Math. (N.S.), 2006, vol. 63, n^o 3, p. 293–325.
• 24L. Baudouin, O. Kavian, J.-P. Puel.
  
  Regularity for a Schrödinger equation with singular potentials and application to bilinear optimal control, in: J. Differential Equations, 2005, vol. 216, n^o 1, p. 188–222.
• 25L. Baudouin, J. Salomon.
  
  Constructive solution of a bilinear optimal control problem for a Schrödinger equation, in: Systems Control Lett., 2008, vol. 57, n^o 6, p. 453–464.
  
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• 26K. Beauchard.
  
  Local controllability of a 1-D Schrödinger equation, in: J. Math. Pures Appl. (9), 2005, vol. 84, n^o 7, p. 851–956.
• 27K. Beauchard, J.-M. Coron.
  
  Controllability of a quantum particle in a moving potential well, in: J. Funct. Anal., 2006, vol. 232, n^o 2, p. 328–389.
• 28M. Belhadj, J. Salomon, G. Turinici.
  
  A stable toolkit method in quantum control, in: J. Phys. A, 2008, vol. 41, n^o 36, 362001, 10 p.
  
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• 29F. Blanchini.
  
  Nonquadratic Lyapunov functions for robust control, in: Automatica J. IFAC, 1995, vol. 31, n^o 3, p. 451–461.
  
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• 30F. Blanchini, S. Miani.
  
  A new class of universal Lyapunov functions for the control of uncertain linear systems, in: IEEE Trans. Automat. Control, 1999, vol. 44, n^o 3, p. 641–647.
  
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• 31A. M. Bloch, R. W. Brockett, C. Rangan.
  
  Finite Controllability of Infinite-Dimensional Quantum Systems, in: IEEE Trans. Automat. Control, 2010.
• 32V. D. Blondel, J. Theys, A. A. Vladimirov.
  
  An elementary counterexample to the finiteness conjecture, in: SIAM J. Matrix Anal. Appl., 2003, vol. 24, n^o 4, p. 963–970.
  
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• 33A. Bonfiglioli, E. Lanconelli, F. Uguzzoni.
  
  Stratified Lie groups and potential theory for their sub-Laplacians, Springer Monographs in Mathematics, Springer, Berlin, 2007.
• 34B. Bonnard, D. Sugny.
  
  Time-minimal control of dissipative two-level quantum systems: the integrable case, in: SIAM J. Control Optim., 2009, vol. 48, n^o 3, p. 1289–1308.
  
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• 35A. Borzì, E. Decker.
  
  Analysis of a leap-frog pseudospectral scheme for the Schrödinger equation, in: J. Comput. Appl. Math., 2006, vol. 193, n^o 1, p. 65–88.
• 36A. Borzì, U. Hohenester.
  
  Multigrid optimization schemes for solving Bose-Einstein condensate control problems, in: SIAM J. Sci. Comput., 2008, vol. 30, n^o 1, p. 441–462.
  
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• 37C. Brif, R. Chakrabarti, H. Rabitz.
  
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• 38F. Bullo, A. D. Lewis.
  
  Geometric control of mechanical systems, Texts in Applied Mathematics, Springer-Verlag, New York, 2005, vol. 49, Modeling, analysis, and design for simple mechanical control systems.
• 39R. Cabrera, H. Rabitz.
  
  The landscape of quantum transitions driven by single-qubit unitary transformations with implications for entanglement, in: J. Phys. A, 2009, vol. 42, n^o 27, 275303, 9 p.
  
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• 40T. Chambrion, P. Mason, M. Sigalotti, U. Boscain.
  
  Controllability of the discrete-spectrum Schrödinger equation driven by an external field, in: Ann. Inst. H. Poincaré Anal. Non Linéaire, 2009, vol. 26, n^o 1, p. 329–349.
  
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• 41Y. Chitour, M. Sigalotti.
  
  On the stabilization of persistently excited linear systems, in: SIAM J. Control Optim., 2010, vol. 48, n^o 6, p. 4032–4055.
  
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• 42G. Citti, A. Sarti.
  
  A cortical based model of perceptual completion in the roto-translation space, in: J. Math. Imaging Vision, 2006, vol. 24, n^o 3, p. 307–326.
  
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• 43J.-M. Coron.
  
  Control and nonlinearity, Mathematical Surveys and Monographs, American Mathematical Society, Providence, RI, 2007, vol. 136.
• 44W. P. Dayawansa, C. F. Martin.
  
  A converse Lyapunov theorem for a class of dynamical systems which undergo switching, in: IEEE Trans. Automat. Control, 1999, vol. 44, n^o 4, p. 751–760.
  
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• 45L. El Ghaoui, S.-I. Niculescu.
  
  Robust decision problems in engineering: a linear matrix inequality approach, in: Advances in linear matrix inequality methods in control, Philadelphia, PA, Adv. Des. Control, SIAM, Philadelphia, PA, 2000, vol. 2, p. xviii, 3–37.
• 46S. Ervedoza, J.-P. Puel.
  
  Approximate controllability for a system of Schrödinger equations modeling a single trapped ion, in: Ann. Inst. H. Poincaré Anal. Non Linéaire, 2009, vol. 26, p. 2111–2136.
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  Regular hypersurfaces, intrinsic perimeter and implicit function theorem in Carnot groups, in: Comm. Anal. Geom., 2003, vol. 11, n^o 5, p. 909–944.
• 49M. Gugat.
  
  Optimal switching boundary control of a string to rest in finite time, in: ZAMM Z. Angew. Math. Mech., 2008, vol. 88, n^o 4, p. 283–305.
• 50J. Hespanha, S. Morse.
  
  Stability of switched systems with average dwell-time, in: Proceedings of the 38th IEEE Conference on Decision and Control, CDC 1999, Phoenix, AZ, USA, 1999, p. 2655–2660.
• 51D. Hubel, T. Wiesel.
  
  Brain and Visual Perception: The Story of a 25-Year Collaboration, Oxford University Press, Oxford, 2004.
• 52R. Illner, H. Lange, H. Teismann.
  
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• 53A. Isidori.
  
  Nonlinear control systems, Communications and Control Engineering Series, Second, Springer-Verlag, Berlin, 1989, An introduction.
• 54K. Ito, K. Kunisch.
  
  Optimal bilinear control of an abstract Schrödinger equation, in: SIAM J. Control Optim., 2007, vol. 46, n^o 1, p. 274–287.
• 55K. Ito, K. Kunisch.
  
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• 59V. S. Kozyakin.
  
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• 60G. Lafferriere, H. J. Sussmann.
  
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• 61J.-S. Li, N. Khaneja.
  
  Ensemble control of Bloch equations, in: IEEE Trans. Automat. Control, 2009, vol. 54, n^o 3, p. 528–536.
  
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• 62D. Liberzon, J. P. Hespanha, A. S. Morse.
  
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• 64H. Lin, P. J. Antsaklis.
  
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• 65Y. Lin, E. D. Sontag, Y. Wang.
  
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• 66W. Liu.
  
  Averaging theorems for highly oscillatory differential equations and iterated Lie brackets, in: SIAM J. Control Optim., 1997, vol. 35, n^o 6, p. 1989–2020.
  
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• 68A. N. Michel, Y. Sun, A. P. Molchanov.
  
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