Bibliography
Major publications by the team in recent years
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1U. Boscain, G. Charlot, M. Sigalotti.
Stability of planar nonlinear switched systems, in: Discrete Contin. Dyn. Syst., 2006, vol. 15, no 2, p. 415–432. -
2C. Hazard, K. Ramdani.
Selective acoustic focusing using time-harmonic reversal mirrors, in: SIAM J. Appl. Math., 2004, vol. 64, no 3, p. 1057–1076. -
3A. Henrot.
Extremum problems for eigenvalues of elliptic operators, Frontiers in Mathematics, Birkhäuser Verlag, Basel, 2006. -
4A. Munnier, E. Zuazua.
Large time behavior for a simplified -dimensional model of fluid-solid interaction, in: Comm. Partial Differential Equations, 2005, vol. 30, no 1-3, p. 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, no 1, p. 193–229. -
6J. San Martin, 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, no 4, p. 1536–1571 (electronic). -
7J. San Martin, 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, no 3, p. 429–455.
http://dx. doi. org/ 10. 1007/ s00205-007-0092-2 -
8J. San Martin, 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, p. 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, no 12, p. 1499–1532. -
10M. Tucsnak, G. Weiss.
Simultaneous exact controllability and some applications, in: SIAM J. Control Optim., 2000, vol. 38, no 5, p. 1408–1427.
Articles in International Peer-Reviewed Journal
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11F. Alabau-Boussouira.
Strong lower energy estimates for nonlinearly damped Timoshenko beams and Petrowsky equations, in: NoDEA, 2011, vol. 18, p. 571–597. -
12F. Alabau-Boussouira, K. Ammari.
Sharp energy estimates for nonlinearly locally damped PDE's via observability for the associated undamped system., in: Journal of Functional Analysis, 2011, vol. 260, no 8, p. 2424–2450. [ DOI : 10.1016/j.jfa.2011.01.003 ]
http://hal. inria. fr/ hal-00594846/ en -
13F. Alabau-Boussouira, P. Cannarsa.
A constructive proof of Gibson's stability theorem, in: Discret and Continuous Dynamical Systems S, 2011, To appear. -
14F. Alabau-Boussouira, P. Cannarsa, R. Guglielmi.
Indirect stabilization of weakly coupled systems with hybrid boundary conditions, in: Mathematical Control and Related Fields, 2011, To appear. -
15F. Alabau-Boussouira, M. Léautaud.
Indirect stabilization of locally coupled wave-type systems, in: ESAIM COCV, 2011, To appear. -
16F. Alabau-Boussouira, M. Léautaud.
Indirect controllability of locally coupled systems under geometric conditions., in: Comptes Rendus Mathematique, 2011, vol. 349, no 7-8, p. 395-400. [ DOI : 10.1016/j.crma.2011.02.004 ]
http://hal. inria. fr/ hal-00594847/ en -
17F. Alabau-Boussouira, J. E. Muñoz-Rivera, D. da Silva Almeida Júnior.
Stability to weak dissipative Bresse system., in: Journal of Mathematical Analysis and applications, 2011, vol. 374, no 2, p. 481-498. [ DOI : 10.1016/j.jmaa.2010.07.046 ]
http://hal. inria. fr/ hal-00594844/ en -
18K. Ammari, D. Mercier, V. Régnier, J. Valein.
Spectral analysis and stabilization of a chain of serially connected Euler-Bernoulli beams and strings, in: Communications on Pure and Applied Analysis, 2011, to appear. -
19X. Antoine, C. Besse, P. Klein.
Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations, in: SIAM Journal on Scientific Computing, 2011, vol. 33, no 2, p. 1008-1033. -
20X. Antoine, C. Besse, P. Klein.
Numerical solution of time-dependent nonlinear Schrodinger equations using domain truncation techniques coupled with relaxation scheme, in: Laser Physics, 2011, vol. 21, no 8, p. 1491-1502. -
21X. Antoine, K. Ramdani, B. Thierry.
Wide Frequency Band Numerical Approaches for Multiple Scattering Problems by Disks, in: Journal of Algorithms & Computational Technologies, 2012, vol. 6, no 2. -
22P. Antunes, A. Henrot.
On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian, in: Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character, June 2011, vol. 467, no 2130, p. 1577-1603.
http://hal. inria. fr/ hal-00511096/ en -
23M. Badra, T. Takahashi.
Stabilization of parabolic nonlinear systems with finite dimensional feedback or dynamical controllers. Application to the Navier-Stokes system, in: SIAM Journal on Control and Optimization, 2011, vol. 49, no 2, p. 420-463. [ DOI : 10.1137/090778146 ]
http://hal. inria. fr/ hal-00431041/ en -
24L. Baudouin, E. Crépeau, J. Valein.
Global Carleman estimate on a network for the wave equation and application to an inverse problem., in: Mathematical Control and Related Fields, September 2011, vol. 1, no 3, p. p.307-330, 20 pages. [ DOI : 10.3934/mcrf.2011.1.307 ]
http://hal. inria. fr/ hal-00576296/ en -
25U. 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.
http://hal. inria. fr/ hal-00557742/ en -
26Y. Boubendir, X. Antoine, C. Geuzaine.
A Quasi-Optimal Non-Overlapping Domain Decomposition Algorithm for the Helmholtz Equation, in: Journal of Computational Physics, 2011, vol. 231, no 2, p. 262-280, 24 pages.
http://hal. inria. fr/ hal-00573550/ en -
27T. Chambrion, A. Munnier.
Locomotion and control of a self-propelled shape-changing body in a fluid, in: Journal of Nonlinear Science, 2011, 52 pages. [ DOI : 10.1007/s00332-010-9084-8 ]
http://hal. inria. fr/ hal-00422429/ en -
28A. H. Chiara Bianchini.
Optimal sets for a class of minimization problems with convex constraints, in: Journal Convex Analysis, 2012, to appear. -
29N. Cindea, S. Micu, I. Roventa, M. Tucsnak.
Controllability of a nonlinear hybrid system, in: An. Univ. Craiova Ser. Mat. Inform., 2011, vol. 38, no 1, p. 35–48. -
30N. Cindea, S. Micu, M. Tucsnak.
An approximation method for exact controls of vibrating systems, in: SIAM Journal on Control and Optimization, 2011, vol. 49, no 3, p. 1283-1305. [ DOI : 10.1137/09077641X ]
http://hal. inria. fr/ hal-00430266/ en -
31G. Garcia, T. Takahashi.
Inverse problem and null-controllability for parabolic systems, in: Journal of Inverse and Ill-posed Problems, 2011, vol. 19, p. 379–405. [ DOI : 10.1515/JIIP.2011.036 ]
http://hal. inria. fr/ hal-00590645/ en -
32M. Gugat, M. Tucsnak.
An example for the switching delay feedback stabilization of an infinite dimensional system : The boundary stabilization of a string, in: Systems & Control Letters / Systems and Control Letters, 2011, vol. 60, no 4, p. 226-233. [ DOI : 10.1016/j.sysconle.2011.01.004 ]
http://hal. inria. fr/ hal-00588246/ en -
33G. Haine, K. Ramdani.
Observateurs itératifs en horizon fini. Application à la reconstruction de données initiales pour des EDP d'évolution, in: J. Eur. Syst. Automatisés, 2012, to appear. -
34G. Haine, K. Ramdani.
Reconstructing initial data using observers: error analysis of the semi-discrete and fully discrete approximations, in: Numer. Math., 2012, p. 1-37. -
35F. Hante, M. Sigalotti.
Converse Lyapunov theorems for switched systems in Banach and Hilbert spaces, in: SIAM J. Control Optim., 2011, vol. 49, no 2, p. 752–770.
http://dx. doi. org/ 10. 1137/ 100801561 -
36A. Henrot, G. Croce, G. Pisante.
An isoperimetric inequality for a nonlinear eigenvalue problem, in: Annales de l'Institut Henri Poincaré Analyse non linéaire, 2012, 15 pages p.
http://hal. inria. fr/ hal-00581455/ en -
37A. Henrot, E. H. Laamri, D. Schmitt.
On some spectral problems arising in dynamic populations, in: Communications in Pure and Applied Analysis, 2011.
http://hal. inria. fr/ hal-00585251/ en -
38P. Klein, X. Antoine, C. Besse, M. Ehrhardt.
Absorbing Boundary Conditions for Solving -Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities, in: Communications in Computational Physics, 2011, vol. 10, no 5, p. 1280-1304. -
39Y. Liu, T. Takahashi, M. Tucsnak.
Strong solutions for a phase field Navier-Stokes vesicle-fluid interaction model, in: Journal of Mathematical Fluid Mechanics, 2011, page : to appear. [ DOI : 10.1007/s00021-011-0059-9 ]
http://hal. inria. fr/ hal-00590656/ en -
40Y. Liu, T. Takahashi, M. Tucsnak.
Single input controllability of a simplifed fuid-structure interaction model, in: ESAIM COCV, 2012, to appear. -
41R. L. Mark S. Ashbaugh.
Rebuttal of Donnelly's paper on the spectral gap, in: Mathematische Zeitschrift, 2011, vol. 269, Issue 1, p. 5-7. -
42A. Munnier.
Passive and self-propelled locomotion of an elastic swimmer in a perfect fluid, in: SIAM journal of applied dynamical systems, 2012, To appear. -
43Š. Nečasová, T. Takahashi, M. Tucsnak.
Weak Solutions for the Motion of a Self-propelled Deformable Structure in a Viscous Incompressible Fluid, in: Acta Applicandae Mathematicae, 2012, to appear. -
44S. Nicaise, C. Pignotti, J. Valein.
Exponential stability of the wave equation with boundary time-varying delay, in: Discrete and Continuous Dynamical Systems. Series S, 2011, p. 693-722.
http://hal. inria. fr/ hal-00599629/ en -
45S. Nicaise, J. Valein.
Stabilization of non-homogeneous elastic materials with voids, in: Journal of Mathematical Analysis and Applications, 2011, to appear. -
46K. Ramdani, M. Tucsnak, K. Ito.
A time reversal based algorithm for solving initial data inverse problems, in: Discrete and continuous Dynamical Systems: Series S, 2011, vol. 4, no 3, p. 641-652.
http://hal. inria. fr/ hal-00586314/ en -
47U. Serres, J.-C. Vivalda, P. Riedinger.
On the convergence of linear switched systems, in: IEEE Transactions on Automatic Control, February 2011, vol. 56, no 2, p. 320-332. [ DOI : 10.1109/TAC.2010.2054950 ]
http://hal. inria. fr/ hal-00481048/ en
International Conferences with Proceedings
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48F. Benaicha, K. Bencherif, M. Sorine, J.-C. Vivalda.
Model Based Mass Soot Observer of Diesel Particle Filter, in: Proceedings of the 18th IFAC World Congress, Milano, Italy, 2011, vol. 18.
http://dx. doi. org/ 10. 3182/ 20110828-6-IT-1002. 02777 -
49M. Caponigro, U. Boscain, T. Chambrion, M. Sigalotti.
Control of the bilinear Schrödinger equation for fully coupling potentials, in: 18th World Congress of the International Federation of Automatic Control (IFAC), Milan, Italy, 2011, to appear.
http://hal. inria. fr/ hal-00589363/ en -
50F. El Hachemi, M. Sigalotti, J. Daafouz.
Stability of planar singularly perturbed switched systems, in: American Control Conference, ACC 2011, San Francisco, United States, June 2011.
http://hal. inria. fr/ hal-00589703/ en -
51J. San Martin, J.-F. Scheid, L. Smaranda.
Convergence of a discretization scheme based on characteristics method for a fluid-rigid system, in: IMSE 2010. The Eleventh International Conference on Integral Methods in Science and Engineering, Brighton, United Kingdom, 2011, to appear.
http://hal. inria. fr/ hal-00589917/ en
Scientific Books (or Scientific Book chapters)
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52F. Alabau-Boussouira.
On some recent advances on stabilization for hyperbolic equations, Springer-Verlag, 2011.
Internal Reports
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53Y. Chitour, P. Mason, M. Sigalotti.
On the marginal instability of linear switched systems, INRIA, 2011.
http://hal. inria. fr/ inria-00578133/ en -
54J. Lohéac, J.-F. Scheid, M. Tucsnak.
Controllability and time optimal control for low Reynolds numbers swimmers, INRIA, October 2011.
http://hal. inria. fr/ hal-00635981/ en
Other Publications
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55F. Alabau-Boussouira, P. Cannarsa, R. Guglielmi.
Indirect stabilization of weakly coupled systems with hybrid boundary conditions, 2011, Submitted on 1 Jun 2011.
http://hal. inria. fr/ hal-00601281/ en -
56F. Alabau-Boussouira, M. Léautaud.
Indirect controllability of locally coupled wave-type systems and applications, 2011, submitted.
http://hal. inria. fr/ hal-00636605/ en -
57X. Antoine, M. Darbas.
Integral Equations and Iterative Schemes for Acoustic Scattering Problems, 2011, to appear.
http://hal. inria. fr/ hal-00591456/ en -
58F. Barthe, C. Bianchini, A. Colesanti.
Isoperimetry and stability of hyperplanes for product probability measures, 2011.
http://hal. inria. fr/ hal-00566568/ en -
59U. Boscain, F. Chittaro, P. Mason, M. Sigalotti.
Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues, 2011, Submitted.
http://hal. inria. fr/ hal-00565773/ en -
60N. Boussaid, M. Caponigro, T. Chambrion.
Implementation of logical gates on infinite dimensional quantum oscillators, 2011, submitted.
http://hal. inria. fr/ hal-00637115/ en -
61N. Boussaid, M. Caponigro, T. Chambrion.
Periodic control laws for bilinear quantum systems with discrete spectrum, 2011, submitted.
http://hal. inria. fr/ hal-00637116/ en -
62N. Boussaid, M. Caponigro, T. Chambrion.
Weakly-coupled systems in quantum control, 2011, submitted.
http://hal. inria. fr/ hal-00620733/ en -
63T. Chambrion.
Periodic excitations of bilinear quantum systems, 2011, submitted.
http://hal. inria. fr/ hal-00594895/ en -
64T. Chambrion, A. Munnier.
Generic Controllability of 3D Swimmers in a Perfect Fluid, 2011, submitted.
http://hal. inria. fr/ hal-00579986/ en -
65O. Glass, L. Rosier.
On the control of the motion of a boat, 2011, Submitted.
http://hal. inria. fr/ hal-00580724/ en -
66F. Hante, M. Sigalotti, M. Tucsnak.
On conditions for asymptotic stability of dissipative infinite-dimensional systems with intermittent damping, 2011, submitted.
http://hal. inria. fr/ inria-00616474/ en -
67E. Harrell, A. Henrot, J. Lamboley.
On the local minimizers of the Mahler volume, 2011, submitted.
http://hal. inria. fr/ inria-00586882/ en -
68S. Micu, I. Roventa, M. Tucsnak.
Time optimal boundary controls for the heat equation, 2011, submitted.
http://hal. inria. fr/ hal-00639717/ en
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69A. Agrachev, A. V. Sarychev.
Navier-Stokes equations: controllability by means of low modes forcing, in: J. Math. Fluid Mech., 2005, vol. 7, no 1, p. 108–152. -
70V. Barbu.
Feedback stabilization of Navier-Stokes equations, in: ESAIM Control Optim. Calc. Var., 2003, vol. 9, p. 197–206 (electronic). -
71C. 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, no 5, p. 1024–1065. -
72M. Fink.
Time-reversal in acoustics, in: Contemporary Physics, 1996, vol. 37, p. 95–109. -
73M. Fink, C. Prada.
Eigenmodes of the time reversal operator: a solution to selective focusing in multiple-target media, in: Wave Motion, 1994, vol. 20, no 2, p. 151–163. -
74M. Hautus.
Controllability and observability conditions of linear autonomous systems, in: Nederl. Akad. Wet., Proc., Ser. A, 1969, vol. 72, p. 443-448. -
75O. Y. Imanuvilov.
Remarks on exact controllability for the Navier-Stokes equations, in: ESAIM Control Optim. Calc. Var., 2001, vol. 6, p. 39–72 (electronic). -
76P. Lanzer, C. Barta, E. H. Botvinick, H. U. Wiesendanger, G. Modin, C. B. Higgins.
ECG-synchronized cardiac MR imaging: method and evaluation, in: Radiology, Jun 1985, vol. 155, no 3, p. 681–686. -
77J.-L. Lions.
Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués. Tome 1, Recherches en Mathématiques Appliquées, Masson, Paris, 1988, vol. 8. -
78J.-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. -
79K. Liu.
Locally distributed control and damping for the conservative systems, in: SIAM J. Control Optim., 1997, vol. 35, no 5, p. 1574–1590. -
80L. Miller.
Controllability cost of conservative systems: resolvent condition and transmutation, in: J. Funct. Anal., 2005, vol. 218, no 2, p. 425–444. -
81K. Ramdani, M. Tucsnak, G. Weiss.
Recovering the initial state of an infinite-dimensional system using observers, in: Automatica, 2010, vol. 46, no 10, p. 1616-1625. -
82D. L. Russell.
Controllability and stabilizability theory for linear partial differential equations: recent progress and open questions, in: SIAM Rev., 1978, vol. 20, no 4, p. 639–739. -
83T. I. Seidman.
How violent are fast controls?, in: Math. Control Signals Systems, 1988, vol. 1, no 1, p. 89–95. -
84L. 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, p. 563-598. -
85E. B. Welch, J. P. Felmlee, R. L. Ehman, A. Manduca.
Motion correction using the k-space phase difference of orthogonal acquisitions, in: Magn Reson Med, 2002, vol. 48, no 1, p. 147–56.