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Preface
A constructive proof of Gibson's stability theorem
1. | L.M.A.M., CNRS-UMR 7122, Université de Metz, Ile du Saulcy, 57045 Metz Cedex 01, France |
2. | Dipartimento di Matematica, Università di Roma 'Tor Vergata', Via della Ricerca Scientica 1, 00133 Roma, Italy |
References:
[1] |
F. Alabau, Stabilisation frontière indirecte de systèmes faiblement couplés, C. R. Acad. Sci. Paris Sér. I, 328 (1999), 1015-1020.
doi: 10.1016/S0764-4442(99)80316-4. |
[2] |
F. Alabau-Boussouira, Indirect boundary stabilization of weakly coupled hyperbolic systems, SIAM J. Control Optim., 41 (2002), 511-541.
doi: 10.1137/S0363012901385368. |
[3] |
F. Alabau, P. Cannarsa and V. Komornik, Indirect internal stabilization of weakly coupled systems of evolution equations, J. Evol. Equ., 2 (2002), 127-150.
doi: 10.1007/s00028-002-8083-0. |
[4] |
K.-J. Engel and R. Nagel, "One-Parameter Semigroups for Linear Evolution Equation," Springer-Verlag, New York, 2000. |
[5] |
J. S. Gibson, A note on stabilization of infinite dimensional linear oscillators by compact linear feedback, SIAM J. Control Optim., 18 (1980), 311-316.
doi: 10.1137/0318022. |
[6] |
A. Haraux, "Semi-groupes Linéaires et Équations D'évolutions Linéaires Périodiques," Publications du Laboratoire d'Analyse Numérique 78011, Université Pierre et Marie Curie, Paris, 1978. |
[7] |
L. Hörmander, "Linear Partial Differential Operators," Springer-Verlag, Berlin, 1963. |
[8] |
V. Komornik, "Exact Controllability and Stabilization. The Multiplier Method," in "Collection RMA,'' 36, Masson-John Wiley, Paris-Chicester, 1994. |
show all references
References:
[1] |
F. Alabau, Stabilisation frontière indirecte de systèmes faiblement couplés, C. R. Acad. Sci. Paris Sér. I, 328 (1999), 1015-1020.
doi: 10.1016/S0764-4442(99)80316-4. |
[2] |
F. Alabau-Boussouira, Indirect boundary stabilization of weakly coupled hyperbolic systems, SIAM J. Control Optim., 41 (2002), 511-541.
doi: 10.1137/S0363012901385368. |
[3] |
F. Alabau, P. Cannarsa and V. Komornik, Indirect internal stabilization of weakly coupled systems of evolution equations, J. Evol. Equ., 2 (2002), 127-150.
doi: 10.1007/s00028-002-8083-0. |
[4] |
K.-J. Engel and R. Nagel, "One-Parameter Semigroups for Linear Evolution Equation," Springer-Verlag, New York, 2000. |
[5] |
J. S. Gibson, A note on stabilization of infinite dimensional linear oscillators by compact linear feedback, SIAM J. Control Optim., 18 (1980), 311-316.
doi: 10.1137/0318022. |
[6] |
A. Haraux, "Semi-groupes Linéaires et Équations D'évolutions Linéaires Périodiques," Publications du Laboratoire d'Analyse Numérique 78011, Université Pierre et Marie Curie, Paris, 1978. |
[7] |
L. Hörmander, "Linear Partial Differential Operators," Springer-Verlag, Berlin, 1963. |
[8] |
V. Komornik, "Exact Controllability and Stabilization. The Multiplier Method," in "Collection RMA,'' 36, Masson-John Wiley, Paris-Chicester, 1994. |
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