Bibliography

Major publications by the team in recent years

• 1U. Boscain, G. Charlot, M. Sigalotti.
  Stability of planar nonlinear switched systems, in: Discrete Contin. Dyn. Syst., 2006, vol. 15, n^o 2, pp. 415–432.
• 2C. Hazard, K. Ramdani.
  Selective acoustic focusing using time-harmonic reversal mirrors, in: SIAM J. Appl. Math., 2004, vol. 64, n^o 3, pp. 1057–1076.
• 3A. Henrot.
  Extremum problems for eigenvalues of elliptic operators, Frontiers in Mathematics, Birkhäuser Verlag, Basel, 2006, x+202 p.
• 4A. Munnier, E. Zuazua.
  Large time behavior for a simplified $N$-dimensional model of fluid-solid interaction, in: Comm. Partial Differential Equations, 2005, vol. 30, n^o 1-3, pp. 377–417.
• 5K. Ramdani, T. Takahashi, G. Tenenbaum, M. Tucsnak.
  A spectral approach for the exact observability of infinite-dimensional systems with skew-adjoint generator, in: J. Funct. Anal., 2005, vol. 226, n^o 1, pp. 193–229.
• 6J. San Martín, J.-F. Scheid, T. Takahashi, M. Tucsnak.
  Convergence of the Lagrange-Galerkin method for the equations modelling the motion of a fluid-rigid system, in: SIAM J. Numer. Anal., 2005, vol. 43, n^o 4, pp. 1536–1571.
• 7J. San Martín, J.-F. Scheid, T. Takahashi, M. Tucsnak.
  An initial and boundary value problem modeling of fish-like swimming, in: Arch. Ration. Mech. Anal., 2008, vol. 188, n^o 3, pp. 429–455.
  http://dx.doi.org/10.1007/s00205-007-0092-2
• 8J. San Martín, V. Starovoitov, M. Tucsnak.
  Global weak solutions for the two dimensional motion of several rigid bodies in an incompressible viscous fluid, in: Archive for Rational Mechanics and Analysis, 2002, vol. 161, pp. 113-147.
• 9T. Takahashi.
  Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain, in: Adv. Differential Equations, 2003, vol. 8, n^o 12, pp. 1499–1532.
• 10M. Tucsnak, G. Weiss.
  Simultaneous exact controllability and some applications, in: SIAM J. Control Optim., 2000, vol. 38, n^o 5, pp. 1408–1427.

Publications of the year

Articles in International Peer-Reviewed Journals

• 11F. Abdallah, S. Nicaise, J. Valein, A. Wehbe.
  Uniformly exponentially or polynomially stable approximations for second order evolution equations and some applications, in: ESAIM: Control, Optimisation and Calculus of Variations, 2013, vol. 19, n^o 3, pp. 844-887.
  http://hal.inria.fr/hal-00755744
• 12S. Ammar, H. Feki, J.-C. Vivalda.
  Observability under sampling for bilinear system, in: International Journal of Control, July 2013. [ DOI : 10.1080/00207179.2013.830338 ]
  http://hal.inria.fr/hal-00876666
• 13X. Antoine, C. Besse, P. Klein.
  Absorbing Boundary Conditions for the Two-Dimensional Schrödinger Equation with an Exterior Potential. Part II: Discretization and Numerical Results, in: Numerische Mathematik, 2013, vol. 125, n^o 2, pp. 191-223.
  http://hal.inria.fr/hal-00931115
• 14X. Antoine, R. Duboscq.
  Robust and Efficient Preconditioned Krylov Spectral Solvers for Computing the Ground States of Fast Rotating and Strongly Interacting Bose-Einstein Condensates, in: Journal of Computational Physics, 2014, vol. 258, n^o 1, pp. 509-523. [ DOI : 10.1016/j.jcp.2013.10.045 ]
  http://hal.inria.fr/hal-00931117
• 15X. Antoine, B. Thierry.
  Spectral and Condition Number Estimates of the Acoustic Single-Layer Operator for Low-Frequency Multiple Scattering in Dense Media, in: Journal of Computational and Applied Mathematics, 2013, vol. 239, pp. 380-395.
  http://hal.inria.fr/hal-00755676
• 16X. Antoine, B. Thierry.
  Spectral and Condition Number Estimates of the Acoustic Single-Layer Operator for Low-Frequency Multiple Scattering in Dilute Media, in: Computer Methods in Applied Mechanics and Engineering, 2013, vol. 265, pp. 242-256. [ DOI : 10.1016/j.cma.2012.04.017 ]
  http://hal.inria.fr/hal-00755645
• 17S. A. Avdonin, V. Mikhaylov, K. Ramdani.
  Reconstructing the potential for the 1D Schrödinger equation from boundary measurements, in: IMA Journal of Mathematical Control and Information, 2013, To appear.
  http://hal.inria.fr/hal-00804268
• 18A. Bacciotti, J.-C. Vivalda.
  On radial and directional controllability of bilinear systems, in: Systems and Control Letters, July 2013, vol. 62, n^o 7, pp. 575-580. [ DOI : 10.1016/j.sysconle.2013.03.011 ]
  http://hal.inria.fr/hal-00876014
• 19C. Besse, J. Coatleven, S. Fliss, I. Lacroix-Violet, K. Ramdani.
  Transparent boundary conditions for locally perturbed infinite hexagonal periodic media., in: Communications in Mathematical Sciences, 2013, vol. 11, n^o 4, pp. 907-938.
  http://hal.inria.fr/hal-00698916
• 20U. Boscain, G. Charlot, R. Ghezzi, M. Sigalotti.
  Lipschitz classification of almost-Riemannian distances on compact oriented surfaces, in: Journal of Geometric Analysis, 2013, vol. 23, pp. 438-455.
  http://hal.inria.fr/hal-00464414
• 21N. Boussaid, M. Caponigro, T. Chambrion.
  Weakly-coupled systems in quantum control, in: IEEE Transactions on Automatic Control, March 2013, vol. 58, n^o 9, pp. 2205-2216. [ DOI : 10.1109/TAC.2013.2255948 ]
  http://hal.inria.fr/hal-00620733
• 22C. Burkard, A. Minut, K. Ramdani.
  Far field model for time reversal and application to selective focusing on small dielectric inhomogeneities, in: Inverse Problems and Imaging, 2013, 26 p.
  http://hal.inria.fr/hal-00793911
• 23M. El Bouajaji, S. Lanteri.
  High order discontinuous Galerkin method for the solution of 2D time-harmonic Maxwell's equations, in: Applied Mathematics and Computation, March 2013, vol. 219, n^o 13, pp. 7241-7251. [ DOI : 10.1016/j.amc.2011.03.140 ]
  http://hal.inria.fr/hal-00922826
• 24Y. Liu, T. Takahashi, M. Tucsnak.
  Single input controllability of a simplified fluid-structure interaction model, in: ESAIM: Control, Optimisation and Calculus of Variations, May 2013, vol. 19, n^o 01, pp. 20-42.
  http://hal.inria.fr/hal-00922193
• 25J. Lohéac, J.-F. Scheid.
  Time optimal control for a nonholonomic system with state constraint, in: Mathematical Control and Related Fields, 2013, vol. 3, n^o 2, pp. 185–208. [ DOI : 10.3934/mcrf.2013.3.185 ]
  http://hal.inria.fr/hal-00713280
• 26J. Lohéac, J.-F. Scheid, M. Tucsnak.
  Controllability and time optimal control for low Reynolds numbers swimmers, in: Acta Applicandae Mathematicae. An International Survey Journal on Applying Mathematics and Mathematical Applications, 2013, vol. 123, pp. 175–200. [ DOI : 10.1007/s10440-012-9760-9 ]
  http://hal.inria.fr/hal-00635981
• 27J. Lohéac, M. Tucsnak.
  Maximum principle and bang-bang property of time optimal controls for Schrödinger type systems, in: SIAM Journal on Control and Optimization, 2013, vol. 51, n^o 5, pp. 4016–4038. [ DOI : 10.1137/120872437 ]
  http://hal.inria.fr/hal-00685359
• 28J. Lohéac, M. Tucsnak.
  Maximum principle and bang-bang property of time optimal controls for Schrödinger type systems, in: SIAM Journal on Control and Optimization, February 2014, to appear.
  http://hal.inria.fr/hal-00858870
• 29P. Martin, L. Rosier, P. Rouchon.
  Null controllability of the structurally damped wave equation with moving point control, in: SIAM Journal on Control and Optimization, February 2013, vol. 51, n^o 1, pp. 660-684. [ DOI : 10.1137/110856150 ]
  http://hal.inria.fr/hal-00829857
• 30J. San Martin, J.-F. Scheid, L. Smaranda.
  The Lagrange-Galerkin method for fluid-structure interaction problems, in: Boundary Value Problems, 2013, vol. 2013, 246 p, 15 pages. [ DOI : 10.1186/10.1186/1687-2770-2013-246 ]
  http://hal.inria.fr/hal-00918005

International Conferences with Proceedings

• 31V. Andrieu, M. Nadri, U. Serres, J.-C. Vivalda.
  Continuous Discrete Observer with Updated Sampling Period, in: NOLCOS 2013, Toulouse, France, S. Tarbouriech, M. Krstic (editors), Nonlinear Control Systems, International Federation of Automatic Control, September 2013, vol. 9, pp. 439-444. [ DOI : 10.3182/20130904-3-FR-2041.00084 ]
  http://hal.inria.fr/hal-00923820
• 32U. Boscain, T. Chambrion, M. Sigalotti.
  On some open questions in bilinear quantum control, in: European Control Conference (ECC), Zurich, Switzerland, 2013, pp. 2080-2085.
  http://hal.inria.fr/hal-00818216
• 33N. Boussaid, M. Caponigro, T. Chambrion.
  Small time reachable set of bilinear quantum systems, in: 51st Conference on Decision and Control (CDC), Maui, HI, United States, February 2013, pp. 1083-1087. [ DOI : 10.1109/CDC.2012.6426208 ]
  http://hal.inria.fr/hal-00710040
• 34N. Boussaid, M. Caponigro, T. Chambrion.
  Total Variation of the Control and Energy of Bilinear Quantum Systems, in: Conference on Decision and Control, Florence, Italy, 2013, pp. 3714-3719.
  http://hal.inria.fr/hal-00800548
• 35T. Chambrion.
  A Sufficient Condition for Partial Ensemble Controllability of Bilinear Schrödinger Equations with Bounded Coupling Terms, in: Conference on Decision and Control, Florence, Italy, 2013, pp. 3708-3713, 6 pages..
  http://hal.inria.fr/hal-00795862
• 36M. El Bouajaji, N. Gmati, S. Lanteri, J. Salhi.
  Coupling of an exact transparent boundary condition with a DG method for the solution of the time-harmonic Maxwell equations, in: ICOSAHOM 2012, Gammarth, Tunisia, M. Azaïez, H. E. Fekih, J. S. Hesthaven (editors), Lecture Notes in Computational Science and Engineering, Springer, January 2014, vol. 95, pp. 238-249. [ DOI : 10.1007/978-3-319-01601-6_19 ]
  http://hal.inria.fr/hal-00922163
• 37T. Manrique-Espindola, M. Fiacchini, T. Chambrion, G. Millérioux.
  MPC for a low consumption electric vehicle with time-varying constraints, in: 5th Symposium on System Structure and Control, IFAC Joint Conference 2013 SSSC, TDS, FDA, Grenoble, France, February 2013.
  http://hal.inria.fr/hal-00842578

Internal Reports

• 38V. Andrieu, M. Nadri, U. Serres, J.-C. Vivalda.
  Continuous Discrete Observer with Updated Sampling Period (long version), May 2013.
  http://hal.inria.fr/hal-00828578

Other Publications

• 39N. Aguillon, A. Benki, S. Henrot, C. Steiner, I. Zangré.
  Semaine d'Etude Mathématiques et Entreprises 5 : Détection de marques de cylindres sur une ligne sidérurgique, ou comment séparer des sources périodiques dans une image bruitée, 2013.
  http://hal.inria.fr/hal-00833430
• 40B. Andreianov, F. Lagoutière, N. Seguin, T. Takahashi.
  Well-posedness for a one-dimensional fluid-particle interaction model, 2013.
  http://hal.inria.fr/hal-00789315
• 41M. Badra, T. Takahashi.
  Feedback stabilization of a simplified 1d fluid- particle system, April 2013.
  http://hal.inria.fr/hal-00814009
• 42N. Boussaid, M. Caponigro, T. Chambrion.
  Energy Estimates for Low Regularity Bilinear Schrödinger Equations, 2013.
  http://hal.inria.fr/hal-00784876
• 43M. El Bouajaji, V. Dolean, M. Gander, S. Lanteri, R. Perrussel.
  DG discretization of optimized Schwarz methods for Maxwell's equations, June 2013.
  http://hal.inria.fr/hal-00830274
• 44G. Garcia, T. Takahashi.
  Numerical observers with vanishing viscosity for the 1d wave equation, December 2013.
  http://hal.inria.fr/hal-00914924
• 45Y. Liu, T. Takahashi.
  Existence of global weak solutions for a phase–field model of a vesicle moving into a viscous incompressible fluid, December 2013.
  http://hal.inria.fr/hal-00914930
• 46P. Riedinger, J.-C. Vivalda.
  An LQ sub-optimal stabilizing feedback law for switched linear systems, 2013.
  http://hal.inria.fr/hal-00874921
• 47A. L. Silvestre, T. Takahashi.
  The motion of a fluid-rigid ball system at the zero limit of the rigid ball radius, December 2013.
  http://hal.inria.fr/hal-00914936

References in notes

• 48A. 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, pp. 108–152.
• 49V. Barbu.
  Feedback stabilization of Navier-Stokes equations, in: ESAIM Control Optim. Calc. Var., 2003, vol. 9, pp. 197–206.
• 50C. Bardos, G. Lebeau, J. Rauch.
  Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary, in: SIAM J. Control Optim., 1992, vol. 30, n^o 5, pp. 1024–1065.
• 51M. Fink.
  Time-reversal in acoustics, in: Contemporary Physics, 1996, vol. 37, pp. 95–109.
• 52M. Fink, C. Prada.
  Eigenmodes of the time reversal operator: a solution to selective focusing in multiple-target media, in: Wave Motion, 1994, vol. 20, n^o 2, pp. 151–163.
• 53M. Hautus.
  Controllability and observability conditions of linear autonomous systems, in: Nederl. Akad. Wet., Proc., Ser. A, 1969, vol. 72, pp. 443-448.
• 54C. Hazard, K. Ramdani.
  Selective acoustic focusing using time-harmonic reversal mirrors, in: SIAM J. Appl. Math., 2004, vol. 64, n^o 3, pp. 1057–1076.
• 55O. Y. Imanuvilov.
  Remarks on exact controllability for the Navier-Stokes equations, in: ESAIM Control Optim. Calc. Var., 2001, vol. 6, pp. 39–72.
• 56J.-L. Lions.
  Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués. Tome 1, Recherches en Mathématiques Appliquées, Masson, Paris, 1988, vol. 8, x+541 p.
• 57J.-L. Lions.
  Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués. Tome 2, Recherches en Mathématiques Appliquées [Research in Applied Mathematics], Masson, Paris, 1988, vol. 9, xiv+273 p.
• 58K. Liu.
  Locally distributed control and damping for the conservative systems, in: SIAM J. Control Optim., 1997, vol. 35, n^o 5, pp. 1574–1590.
• 59L. Miller.
  Controllability cost of conservative systems: resolvent condition and transmutation, in: J. Funct. Anal., 2005, vol. 218, n^o 2, pp. 425–444.
• 60D. L. Russell.
  Controllability and stabilizability theory for linear partial differential equations: recent progress and open questions, in: SIAM Rev., 1978, vol. 20, n^o 4, pp. 639–739.
• 61T. I. Seidman.
  How violent are fast controls?, in: Math. Control Signals Systems, 1988, vol. 1, n^o 1, pp. 89–95.
• 62L. Tcheougoué Tebou, E. Zuazua.
  Uniform exponential long time decay for the space semi-discretization of a localy damped wave equation via an artificial numerical viscosity, in: Numerische Mathematik, 2003, vol. 95, pp. 563-598.