Delay dependent stability analysis of interval time-delay systems

Wenjuan Jiang 1 Alexandre Kruszewski 2 Emilia Fridman 3 Jean-Pierre Richard 4, 5
1 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
4 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
5 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : We consider interval time-varying delay systems. The time-delay interval is divided into several zones and the systems switch among the different zones. Based on Lyapunov-Krasovskii functional methods and on linear matrix inequality (LMI) techniques, exponential stability is exploited for every time-delay zone. The global stability of the switched system is guaranteed if some minimum average dwell time conditions are satisfied. Numerical examples and comparisons with other works show that the methods enlarge the value of the maximum upper-bound of allowable time-delays.
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Submitted on : Monday, September 20, 2010 - 2:51:34 PM
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Wenjuan Jiang, Alexandre Kruszewski, Emilia Fridman, Jean-Pierre Richard. Delay dependent stability analysis of interval time-delay systems. IFAC-TDS 2010 - 9th IFAC Workshop on Time Delay Systems, Jun 2010, Prague, Czech Republic. ⟨hal-00519491⟩

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