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Bibliography

Publications of the year

Articles in International Peer-Reviewed Journals

  • 1A. Agrachev, L. Rizzi, P. Silveira.

    On conjugate times of LQ optimal control problems, in: Journal of Dynamical and Control Systems, 2014, 14 p.

    https://hal.archives-ouvertes.fr/hal-01096715
  • 2U. Boscain, M. Caponigro, M. Sigalotti.

    Multi-input Schrödinger equation: Controllability, tracking, and application to the quantum angular momentum, in: Electronic Journal of Differential Equations, June 2014, vol. 256, no 11, pp. 3524–3551. [ DOI : 10.1016/j.jde.2014.02.004 ]

    https://hal.archives-ouvertes.fr/hal-01097161
  • 3U. Boscain, R. A. Chertovskih, J. P. Gauthier, A. O. Remizov.

    Hypoelliptic Diffusion and Human Vision: A Semidiscrete New Twist, in: SIAM Journal on Imaging Sciences, 2014, vol. 7, no 2, pp. 669–695. [ DOI : 10.1137/130924731 ]

    https://hal.archives-ouvertes.fr/hal-01097156
  • 4U. Boscain, R. Duits, F. Rossi, Y. Sachkov.

    Curve cuspless reconstruction via sub-Riemannian geometry, in: ESAIM: Control, Optimisation and Calculus of Variations, July 2014, vol. 20, no 3, pp. 748-770. [ DOI : 10.1051/cocv/2013082 ]

    https://hal.archives-ouvertes.fr/hal-01097159
  • 5U. Boscain, F. Grönberg, R. Long, H. Rabitz.

    Minimal time trajectories for two-level quantum systems with two bounded controls, in: Journal of Mathematical Physics, June 2014, vol. 55, no 6, 062106. [ DOI : 10.1063/1.4882158 ]

    https://hal.archives-ouvertes.fr/hal-01097154
  • 6Y. Chitour, F. Colonius, M. Sigalotti.

    Growth rates for persistently excited linear systems, in: Mathematics of Control, Signals, and Systems, December 2014, vol. 26, no 4, pp. 589-616. [ DOI : 10.1007/s00498-014-0131-0 ]

    https://hal.archives-ouvertes.fr/hal-01097163
  • 7R. Duits, U. Boscain, F. Rossi, Y. Sachkov.

    Association Fields via Cuspless Sub-Riemannian Geodesics in SE(2), in: Journal of Mathematical Imaging and Vision, June 2014, vol. 49, no 2, pp. 384-417. [ DOI : 10.1007/s10851-013-0475-y ]

    https://hal.archives-ouvertes.fr/hal-01097158
  • 8F. Lafont, N. Pessel, J.-F. Balmat, J.-P. Gauthier.

    Unknown-input observability with an application to prognostics for Waste Water Treatment Plants, in: European Journal of Control, March 2014, vol. 20, no 2, 9 p. [ DOI : 10.1016/j.ejcon.2014.01.002 ]

    https://hal.inria.fr/hal-01097078
  • 9T. Maillot, U. Boscain, J.-P. Gauthier, U. Serres.

    Lyapunov and Minimum-Time Path Planning for Drones, in: Journal of Dynamical and Control Systems, May 2014, pp. 1-34. [ DOI : 10.1007/s10883-014-9222-y ]

    https://hal.archives-ouvertes.fr/hal-01097155
  • 10G. Mazanti.

    Stabilization of Persistently Excited Linear Systems by Delayed Feedback Laws, in: Systems and Control Letters, June 2014, vol. 68, pp. 57-67. [ DOI : 10.1016/j.sysconle.2014.03.006 ]

    https://hal.archives-ouvertes.fr/hal-00850971
  • 11F. Méhats, Y. Privat, M. Sigalotti.

    On the Controllability of Quantum Transport in an Electronic Nanostructure, in: SIAM Journal on Applied Mathematics, 2014, vol. 74, no 6, pp. 1870–1894. [ DOI : 10.1137/130939328 ]

    https://hal.archives-ouvertes.fr/hal-01097162
  • 12A. Rapaport, I. Haidar, J. Harmand.

    Global dynamics of the buffered chemostat for a general class of response functions, in: Journal of Mathematical Biology, 2014, 30 p. [ DOI : 10.1007/s00285-014-0814-7 ]

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

International Conferences with Proceedings

  • 13U. Boscain, J.-P. Gauthier, D. Prandi, A. Remizov.

    Image Reconstruction Via Non-Isotropic Diffusion in Dubins/Reed-Shepp- Like Control Systems, in: 53th IEEE Conference on Decision and Control, Los Angeles, United States, 2014.

    https://hal.inria.fr/hal-01103516
  • 14J.-P. Gauthier, M. Kawski.

    Minimal Complexity Sinusoidal Controls for Path Planning, in: IEEE Conference on Decision and Control, Los Angeles, United States, December 2014.

    https://hal.archives-ouvertes.fr/hal-01097149
  • 15J.-P. Gauthier, F. Monroy-Pérez, L. Jonathan.

    Non-holonomic interpolation motion planning for the car with trailers, in: XVI Congreso Latinoamericano de Control Automático, Cancún, Mexico, October 2014.

    https://hal.archives-ouvertes.fr/hal-01097150
  • 16I. Haidar, P. Mason, M. Sigalotti.

    Converse Lyapunov–Krasovskii Theorems for Uncertain Time-Delay Systems, in: 19th IFAC World Congress, Cape Town, South Africa, Proceedings of the 19th IFAC World Congress, 2014, August 2014, pp. 10096-10100. [ DOI : 10.3182/20140824-6-ZA-1003.00561 ]

    https://hal.archives-ouvertes.fr/hal-01101995

Scientific Books (or Scientific Book chapters)

Other Publications

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.
  • 31A. 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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  • 32A. 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.
  • 33A. 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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  • 34F. 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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    An optimality principle governing human locomotion, in: IEEE Trans. on Robotics, 2008, vol. 24, no 1.
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    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.
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    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.
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    Constructive solution of a bilinear optimal control problem for a Schrödinger equation, in: Systems Control Lett., 2008, vol. 57, no 6, pp. 453–464.

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    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.

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

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  • 45F. 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
  • 46A. M. Bloch, R. W. Brockett, C. Rangan.

    Finite Controllability of Infinite-Dimensional Quantum Systems, in: IEEE Trans. Automat. Control, 2010.
  • 47V. 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
  • 48A. 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.
  • 49B. 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
  • 50A. 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.
  • 51A. 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
  • 52C. 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.
  • 53F. Bullo, A. D. Lewis.

    Geometric control of mechanical systems, Texts in Applied Mathematics, Springer-Verlag, New York, 2005, vol. 49, xxiv+726 p.
  • 54R. 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
  • 55G. 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
  • 56J.-M. Coron.

    Control and nonlinearity, Mathematical Surveys and Monographs, American Mathematical Society, Providence, RI, 2007, vol. 136, xiv+426 p.
  • 57W. 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
  • 58L. 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.
  • 59S. 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.
  • 60M. 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
  • 61B. 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.
  • 62M. 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.
  • 63J. 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.
  • 64D. Hubel, T. Wiesel.

    Brain and Visual Perception: The Story of a 25-Year Collaboration, Oxford University Press, Oxford, 2004.
  • 65R. 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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  • 66A. Isidori.

    Nonlinear control systems, Communications and Control Engineering Series, Second, Springer-Verlag, Berlin, 1989, xii+479 p, An introduction.
  • 67K. Ito, K. Kunisch.

    Optimal bilinear control of an abstract Schrödinger equation, in: SIAM J. Control Optim., 2007, vol. 46, no 1, pp. 274–287.
  • 68K. 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
  • 69R. Kalman.

    When is a linear control system optimal?, in: ASME Transactions, Journal of Basic Engineering, 1964, vol. 86, pp. 51–60.
  • 70N. 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.
  • 71N. 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.

    http://dx.doi.org/10.1073/pnas.2134111100
  • 72V. S. Kozyakin.

    Algebraic unsolvability of a problem on the absolute stability of desynchronized systems, in: Avtomat. i Telemekh., 1990, pp. 41–47.
  • 73G. Lafferriere, H. J. Sussmann.

    A differential geometry approach to motion planning, in: Nonholonomic Motion Planning (Z. Li and J. F. Canny, editors), Kluwer Academic Publishers, 1993, pp. 235-270.
  • 74J.-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
  • 75D. 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.

    http://dx.doi.org/10.1016/S0167-6911(99)00012-2
  • 76D. Liberzon.

    Switching in systems and control, Systems & Control: Foundations & Applications, Birkhäuser Boston Inc., Boston, MA, 2003, xiv+233 p.
  • 77H. Lin, P. J. Antsaklis.

    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.

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  • 78Y. Lin, E. D. Sontag, Y. Wang.

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  • 79W. Liu.

    Averaging theorems for highly oscillatory differential equations and iterated Lie brackets, in: SIAM J. Control Optim., 1997, vol. 35, no 6, pp. 1989–2020.

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  • 80Y. Maday, J. Salomon, G. Turinici.

    Monotonic parareal control for quantum systems, in: SIAM J. Numer. Anal., 2007, vol. 45, no 6, pp. 2468–2482.

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  • 81A. N. Michel, Y. Sun, A. P. Molchanov.

    Stability analysis of discountinuous dynamical systems determined by semigroups, in: IEEE Trans. Automat. Control, 2005, vol. 50, no 9, pp. 1277–1290.

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  • 82M. Mirrahimi.

    Lyapunov control of a particle in a finite quantum potential well, in: Proceedings of the 45th IEEE Conference on Decision and Control, 2006.
  • 83M. Mirrahimi, P. Rouchon.

    Controllability of quantum harmonic oscillators, in: IEEE Trans. Automat. Control, 2004, vol. 49, no 5, pp. 745–747.
  • 84A. P. Molchanov, Y. S. Pyatnitskiy.

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  • 89J. Petitot.

    Neurogéomètrie de la vision. Modèles mathématiques et physiques des architectures fonctionnelles, Les Éditions de l'École Polythechnique, 2008.
  • 90J. Petitot, Y. Tondut.

    Vers une neurogéométrie. Fibrations corticales, structures de contact et contours subjectifs modaux, in: Math. Inform. Sci. Humaines, 1999, no 145, pp. 5–101.
  • 91H. Rabitz, H. de Vivie-Riedle, R. Motzkus, K. Kompa.

    Wither the future of controlling quantum phenomena?, in: SCIENCE, 2000, vol. 288, pp. 824–828.
  • 92D. Rossini, T. Calarco, V. Giovannetti, S. Montangero, R. Fazio.

    Decoherence by engineered quantum baths, in: J. Phys. A, 2007, vol. 40, no 28, pp. 8033–8040.

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    Stability of switching infinite-dimensional systems, in: Automatica J. IFAC, 2005, vol. 41, no 1, pp. 75–78.

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    Stability analysis of linear hyperbolic systems with switching parameters and boundary conditions, in: Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008, December 9-11, 2008, Cancún, Mexico, 2008, pp. 2081–2086.
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