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| HAL : hal-00400945, version 1 |
| Fiche détaillée |  Récupérer au format |
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| 44 th IEEE Conference on Decision and Control and European Control Conference, ECC-CDC 05, Sevilla : Spain (2005) |
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| Stability and stabilization of distributed time delay systems |
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| Frédéric Gouaisbaut 1 |
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| (2005) |
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| This paper is dedicated to the stability and stabilization of state-distributed delay systems. The key idea is to express the distributed delay system as a barycentric sum of linear pointwise time delay systems. By using this reformulation, new stability criterion is proposed and is formulated in the form of Linear Matrix Inequality. These conditions for the stability of the system are obtained by using a Lyapunov Krasovskii functional . Based on this stability criterion, new types of controllers, taking into account the delayed part, are designed to ensure the asymptotic stability of the system. Several examples illustrate the proposed method. |
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| 1 : | Laboratoire d'analyse et d'architecture des systèmes (LAAS) |
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CNRS : UPR8001 – Université Paul Sabatier - Toulouse III – Institut National Polytechnique de Toulouse - INPT – Institut National des Sciences Appliquées de Toulouse |
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| Domaine | : | Informatique/Automatique |
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| Delay Systems – Distributed delay systems – Stability – Stabilization – LMIs |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00400945, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00400945 | |
| oai:hal.archives-ouvertes.fr:hal-00400945 | |
| Contributeur : Frédéric Gouaisbaut | |
| Soumis le : Jeudi 2 Juillet 2009, 11:13:46 | |
| Dernière modification le : Jeudi 16 Juillet 2009, 13:07:58 | |
