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| HAL : hal-00599627, version 1 |
| DOI : 10.1137/090762105 |
| Fiche détaillée |  Récupérer au format |
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| SIAM Journal on Control and Optimization 48, 8 (2010) 5028-5052 |
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| Stabilization of second order evolution equations with unbounded feedback with time-dependent delay |
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| Emilia Fridman 1Serge Nicaise 2 |
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| CORIDA Collaboration(s) |
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| (2010) |
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| We consider abstract second order evolution equations with unbounded feedback with time-varying delay. Existence results are obtained under some realistic assumptions. We prove the exponential decay under some conditions by introducing an abstract Lyapunov functional. Our abstract framework is applied to the wave, to the beam, and to the plate equations with boundary delays. |
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| 1 : | Department of Electrical Engineering Systems [Tel Aviv] |
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Tel Aviv University |
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| 2 : | Laboratoire de Mathématiques et leurs Applications de Valenciennes, EA 45 (LAMAV) |
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Université de Valenciennes et du Hainaut-Cambresis – CNRS : FRE2956 |
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| 3 : | CORIDA (INRIA Nancy - Grand Est / IECN / LMAM) |
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INRIA – CNRS : UMR7502 – Université de Lorraine |
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| 4 : | Institut Élie Cartan Nancy (IECN) |
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CNRS : UMR7502 – Université de Lorraine |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| second order evolution equations – wave equations – time-varying delay – stabilization – Lyapunov functional |
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| hal-00599627, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00599627 | |
| oai:hal.archives-ouvertes.fr:hal-00599627 | |
| Contributeur : Julie Valein | |
| Soumis le : Vendredi 10 Juin 2011, 13:56:25 | |
| Dernière modification le : Mardi 27 Mars 2012, 13:55:30 | |
