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Bibliography

Publications of the year

Articles in International Peer-Reviewed Journals

  • 1M. Barbero-Liñán, M. Sigalotti.

    New high order sufficient conditions for configuration tracking, in: Automatica, 2015, vol. 62, pp. 222-226.

    https://hal.inria.fr/hal-01105126
  • 2U. Boscain, G. Charlot, M. Gaye, P. Mason.

    Local properties of almost-Riemannian structures in dimension 3, in: Discrete and Continuous Dynamical Systems - Series A, September 2015, vol. 35, no 9. [ DOI : 10.3934/dcds.2015.35.4115 ]

    https://hal.inria.fr/hal-01247787
  • 3U. Boscain, J.-P. Gauthier, F. Rossi, M. Sigalotti.

    Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems, in: Communications in Mathematical Physics, February 2015, vol. 333, no 3, pp. 1225-1239. [ DOI : 10.1007/s00220-014-2195-6 ]

    https://hal.archives-ouvertes.fr/hal-00869706
  • 4U. Boscain, P. Mason, G. Panati, M. Sigalotti.

    Controllability of spin-boson systems, in: Journal of Mathematical Physics, 2015, vol. 56.

    https://hal.inria.fr/hal-01132741
  • 5Y. Chitour, M. Gaye, P. Mason.

    Geometric and asymptotic properties associated with linear switched systems, in: Journal of Differential Equations,, December 2015, vol. 259, no 11, pp. 5582-5616.

    https://hal.archives-ouvertes.fr/hal-01064241
  • 6I. Haidar, P. Mason, M. Sigalotti.

    Converse Lyapunov-Krasovskii theorems for uncertain retarded differential equations, in: Automatica, 2015, vol. 62, pp. 263-273.

    https://hal.inria.fr/hal-00924252
  • 7F. Jean, D. Prandi.

    Complexity of control-affine motion planning, in: SIAM Journal on Control and Optimization, April 2015, vol. 53, no 2, pp. 816-844, 29 pages. [ DOI : 10.1137/130950793 ]

    https://hal.archives-ouvertes.fr/hal-00909748
  • 8T. Maillot, U. Boscain, J.-P. Gauthier, U. Serres.

    Lyapunov and Minimum-Time Path Planning for Drones, in: Journal of Dynamical and Control Systems, January 2015, vol. 21, no 1, pp. 1-34. [ DOI : 10.1007/s10883-014-9222-y ]

    https://hal.archives-ouvertes.fr/hal-01097155
  • 9E. Paduro, M. Sigalotti.

    Approximate Controllability of the Two Trapped Ions System, in: Quantum Information Processing, 2015, vol. 14, pp. 2397-2418.

    https://hal.inria.fr/hal-01092509
  • 10A. Rapaport, I. Haidar, J. Harmand.

    Global dynamics of the buffered chemostat for a general class of response functions, in: Journal of Mathematical Biology, July 2015, vol. 71, no 1, pp. 69-98. [ DOI : 10.1007/s00285-014-0814-7 ]

    https://hal.inria.fr/hal-00923826

International Conferences with Proceedings

  • 11M. Barbero-Liñán, M. Sigalotti.

    Configuration Tracking for Mechanical Systems by Kinematic Reduction and Fast Oscillating Controls, in: 54th IEEE Conference on Decision and Control, Osaka, Japan, 2015.

    https://hal.inria.fr/hal-01216015
  • 12D. Barilari, U. Boscain, E. Le Donne, M. Sigalotti.

    Time-Optimal Synthesis for Three Relevant Problems: The Brockett Integrator, the Grushin Plane and the Martinet Distribution, in: 54th IEEE Conference on Decision and Control, Osaka, Japan, 2015.

    https://hal.inria.fr/hal-01216012
  • 13U. Boscain, J.-P. Gauthier, F. Rossi, M. Sigalotti.

    Equivalence between Exact and Approximate Controllability for Finite-Dimensional Quantum Systems, in: 54th IEEE Conference on Decision and Control, Osaka, Japan, 2015.

    https://hal.inria.fr/hal-01216023
  • 14Y. Chitour, P. Mason, M. Sigalotti.

    Quasi-Barabanov Semigroups and Finiteness of the L2-Induced Gain for Switched Linear Control Systems: Case of Full-State Observation, in: 54th IEEE Conference on Decision and Control, Osaka, Japan, 2015.

    https://hal.inria.fr/hal-01216017
  • 15I. Haidar, P. Mason, S.-I. Niculescu, M. Sigalotti, A. Chaillet.

    Further remarks on Markus-Yamabe instability for time-varying delay differential equations, in: 12th IFAC Workshop on Time Delay Systems (TDS), Ann Arbor, United States, 2015.

    https://hal.inria.fr/hal-01215997
  • 16E. Paduro, M. Sigalotti.

    Control of a Quantum Model for Two Trapped Ions, in: 54th IEEE Conference on Decision and Control, Osaka, Japan, 2015.

    https://hal.inria.fr/hal-01216018
  • 17N. Pouradier Duteil, F. Rossi, U. Boscain, B. Piccoli.

    Developmental Partial Differential Equations, in: 54th IEEE Conference on Decision and Control, Osaka, Japan, 2015.

    https://hal.inria.fr/hal-01216030

Other Publications

  • 18A. Agrachev, D. Barilari, L. Rizzi.

    Sub-Riemannian curvature in contact geometry, December 2015, to appear on Journal of Geometric Analysis.

    https://hal.archives-ouvertes.fr/hal-01160901
  • 19A. Agrachev, U. Boscain, R. Neel, L. Rizzi.

    Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling, January 2016, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01259762
  • 20D. Barilari, U. Boscain, E. L. Donne, M. Sigalotti.

    Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions, June 2015, 24 pages, 17 figures.

    https://hal.inria.fr/hal-01164043
  • 21D. Barilari, L. Rizzi.

    On Jacobi fields and canonical connection in sub-Riemannian geometry, November 2015, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01160902
  • 22U. Boscain, R. Neel, L. Rizzi.

    Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry, November 2015, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01122735
  • 23Y. Chitour, P. Mason, M. Sigalotti.

    A characterization of switched linear control systems with finite L2-gain, 2015, working paper or preprint.

    https://hal.inria.fr/hal-01198394
  • 24Y. Chitour, G. Mazanti, M. Sigalotti.

    Stability of non-autonomous difference equations with applications to transport and wave propagation on networks, April 2015, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01139814
  • 25F. Colonius, G. Mazanti.

    Lyapunov exponents for random continuous-time switched systems and stabilizability, November 2015, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01232164
  • 26S. J. Glaser, U. Boscain, T. Calarco, C. P. Koch, W. Köckenberger, R. Kosloff, I. Kuprov, B. Luy, S. Schirmer, T. Schulte-Herbrüggen, D. Sugny, F. K. Wilhelm.

    Training Schrödinger's cat: quantum optimal control, 2015, 31 pages; this is the starting point for a living document - we welcome feedback and discussion.

    https://hal.inria.fr/hal-01216034
  • 27D. Prandi, A. Remizov, R. Chertovskih, U. Boscain, J.-P. Gauthier.

    Highly corrupted image inpainting through hypoelliptic diffusion, February 2015, working paper or preprint.

    https://hal.inria.fr/hal-01139521
References in notes
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    An estimation of the controllability time for single-input systems on compact Lie groups, in: ESAIM Control Optim. Calc. Var., 2006, vol. 12, no 3, pp. 409–441.
  • 29A. A. Agrachev, D. Liberzon.

    Lie-algebraic stability criteria for switched systems, in: SIAM J. Control Optim., 2001, vol. 40, no 1, pp. 253–269.

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  • 30A. A. Agrachev, Y. L. Sachkov.

    Control theory from the geometric viewpoint, Encyclopaedia of Mathematical Sciences, Springer-Verlag, Berlin, 2004, vol. 87, xiv+412 p, Control Theory and Optimization, II.
  • 31A. A. Agrachev, A. V. Sarychev.

    Navier-Stokes equations: controllability by means of low modes forcing, in: J. Math. Fluid Mech., 2005, vol. 7, no 1, pp. 108–152.

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  • 32F. Albertini, D. D'Alessandro.

    Notions of controllability for bilinear multilevel quantum systems, in: IEEE Trans. Automat. Control, 2003, vol. 48, no 8, pp. 1399–1403.
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    Controllability properties for finite dimensional quantum Markovian master equations, in: J. Math. Phys., 2003, vol. 44, no 6, pp. 2357–2372.
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    Topics on analysis in metric spaces, Oxford Lecture Series in Mathematics and its Applications, Oxford University Press, Oxford, 2004, vol. 25, viii+133 p.
  • 35G. Arechavaleta, J.-P. Laumond, H. Hicheur, A. Berthoz.

    An optimality principle governing human locomotion, in: IEEE Trans. on Robotics, 2008, vol. 24, no 1.
  • 36L. 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, no 3, pp. 293–325.
  • 37L. 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, no 1, pp. 188–222.
  • 38L. Baudouin, J. Salomon.

    Constructive solution of a bilinear optimal control problem for a Schrödinger equation, in: Systems Control Lett., 2008, vol. 57, no 6, pp. 453–464.

    http://dx.doi.org/10.1016/j.sysconle.2007.11.002
  • 39K. Beauchard.

    Local controllability of a 1-D Schrödinger equation, in: J. Math. Pures Appl. (9), 2005, vol. 84, no 7, pp. 851–956.
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    Controllability of a quantum particle in a moving potential well, in: J. Funct. Anal., 2006, vol. 232, no 2, pp. 328–389.
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    A stable toolkit method in quantum control, in: J. Phys. A, 2008, vol. 41, no 36, 362001, 10 p.

    http://dx.doi.org/10.1088/1751-8113/41/36/362001
  • 42F. Blanchini.

    Nonquadratic Lyapunov functions for robust control, in: Automatica J. IFAC, 1995, vol. 31, no 3, pp. 451–461.

    http://dx.doi.org/10.1016/0005-1098(94)00133-4
  • 43F. 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, no 3, pp. 641–647.

    http://dx.doi.org/10.1109/9.751368
  • 44A. M. Bloch, R. W. Brockett, C. Rangan.

    Finite Controllability of Infinite-Dimensional Quantum Systems, in: IEEE Trans. Automat. Control, 2010.
  • 45V. D. Blondel, J. Theys, A. A. Vladimirov.

    An elementary counterexample to the finiteness conjecture, in: SIAM J. Matrix Anal. Appl., 2003, vol. 24, no 4, pp. 963–970.

    http://dx.doi.org/10.1137/S0895479801397846
  • 46A. Bonfiglioli, E. Lanconelli, F. Uguzzoni.

    Stratified Lie groups and potential theory for their sub-Laplacians, Springer Monographs in Mathematics, Springer, Berlin, 2007, xxvi+800 p.
  • 47B. Bonnard, D. Sugny.

    Time-minimal control of dissipative two-level quantum systems: the integrable case, in: SIAM J. Control Optim., 2009, vol. 48, no 3, pp. 1289–1308.

    http://dx.doi.org/10.1137/080717043
  • 48A. Borzì, E. Decker.

    Analysis of a leap-frog pseudospectral scheme for the Schrödinger equation, in: J. Comput. Appl. Math., 2006, vol. 193, no 1, pp. 65–88.
  • 49A. Borzì, U. Hohenester.

    Multigrid optimization schemes for solving Bose-Einstein condensate control problems, in: SIAM J. Sci. Comput., 2008, vol. 30, no 1, pp. 441–462.

    http://dx.doi.org/10.1137/070686135
  • 50C. Brif, R. Chakrabarti, H. Rabitz.

    Control of quantum phenomena: Past, present, and future, Advances in Chemical Physics, S. A. Rice (ed), Wiley, New York, 2010.
  • 51F. Bullo, A. D. Lewis.

    Geometric control of mechanical systems, Texts in Applied Mathematics, Springer-Verlag, New York, 2005, vol. 49, xxiv+726 p.
  • 52R. 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, no 27, 275303, 9 p.

    http://dx.doi.org/10.1088/1751-8113/42/27/275303
  • 53G. Citti, A. Sarti.

    A cortical based model of perceptual completion in the roto-translation space, in: J. Math. Imaging Vision, 2006, vol. 24, no 3, pp. 307–326.

    http://dx.doi.org/10.1007/s10851-005-3630-2
  • 54J.-M. Coron.

    Control and nonlinearity, Mathematical Surveys and Monographs, American Mathematical Society, Providence, RI, 2007, vol. 136, xiv+426 p.
  • 55W. 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, no 4, pp. 751–760.

    http://dx.doi.org/10.1109/9.754812
  • 56L. 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, 2000, vol. 2, pp. 3–37.
  • 57S. 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, pp. 2111–2136.
  • 58M. Fliess, J. Lévine, P. Martin, P. Rouchon.

    Flatness and defect of non-linear systems: introductory theory and examples, in: Internat. J. Control, 1995, vol. 61, no 6, pp. 1327–1361.

    http://dx.doi.org/10.1080/00207179508921959
  • 59B. Franchi, R. Serapioni, F. Serra Cassano.

    Regular hypersurfaces, intrinsic perimeter and implicit function theorem in Carnot groups, in: Comm. Anal. Geom., 2003, vol. 11, no 5, pp. 909–944.
  • 60M. Gugat.

    Optimal switching boundary control of a string to rest in finite time, in: ZAMM Z. Angew. Math. Mech., 2008, vol. 88, no 4, pp. 283–305.
  • 61J. 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, pp. 2655–2660.
  • 62D. Hubel, T. Wiesel.

    Brain and Visual Perception: The Story of a 25-Year Collaboration, Oxford University Press, Oxford, 2004.
  • 63R. Illner, H. Lange, H. Teismann.

    Limitations on the control of Schrödinger equations, in: ESAIM Control Optim. Calc. Var., 2006, vol. 12, no 4, pp. 615–635.

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  • 64A. Isidori.

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  • 65K. Ito, K. Kunisch.

    Optimal bilinear control of an abstract Schrödinger equation, in: SIAM J. Control Optim., 2007, vol. 46, no 1, pp. 274–287.
  • 66K. Ito, K. Kunisch.

    Asymptotic properties of feedback solutions for a class of quantum control problems, in: SIAM J. Control Optim., 2009, vol. 48, no 4, pp. 2323–2343.

    http://dx.doi.org/10.1137/080720784
  • 67R. Kalman.

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  • 68N. Khaneja, S. J. Glaser, R. W. Brockett.

    Sub-Riemannian geometry and time optimal control of three spin systems: quantum gates and coherence transfer, in: Phys. Rev. A (3), 2002, vol. 65, no 3, part A, 032301, 11 p.
  • 69N. Khaneja, B. Luy, S. J. Glaser.

    Boundary of quantum evolution under decoherence, in: Proc. Natl. Acad. Sci. USA, 2003, vol. 100, no 23, pp. 13162–13166.

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  • 70V. S. Kozyakin.

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  • 72J.-S. Li, N. Khaneja.

    Ensemble control of Bloch equations, in: IEEE Trans. Automat. Control, 2009, vol. 54, no 3, pp. 528–536.

    http://dx.doi.org/10.1109/TAC.2009.2012983
  • 73D. Liberzon, J. P. Hespanha, A. S. Morse.

    Stability of switched systems: a Lie-algebraic condition, in: Systems Control Lett., 1999, vol. 37, no 3, pp. 117–122.

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    Switching in systems and control, Systems & Control: Foundations & Applications, Birkhäuser Boston Inc., Boston, MA, 2003, xiv+233 p.
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    Stability and stabilizability of switched linear systems: a survey of recent results, in: IEEE Trans. Automat. Control, 2009, vol. 54, no 2, pp. 308–322.

    http://dx.doi.org/10.1109/TAC.2008.2012009
  • 76Y. Lin, E. D. Sontag, Y. Wang.

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