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TDS'10, 9th IFAC Workshop on Time Delay Systems, Prague : Czech Republic (2010)
Delay dependent stability analysis of interval time-delay systems
Wenjuan Jiang 1, 2, Alexandre Kruszewski 3, Emilia Fridman 4, Jean-Pierre Richard 3, 5
(2010)

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.
1 :  Grenoble Images Parole Signal Automatique (GIPSA-lab)
CNRS : UMR5216 – Université Joseph Fourier - Grenoble I – Université Pierre-Mendès-France - Grenoble II – Université Stendhal - Grenoble III – Institut Polytechnique de Grenoble - Grenoble Institute of Technology
2 :  NeCS (INRIA Grenoble Rhône-Alpes / Gipsa-lab)
CNRS : UMR5216 – INRIA – Gipsa-lab – Université Joseph Fourier - Grenoble I – Institut National Polytechnique de Grenoble (INPG)
3 :  Laboratoire d'Automatique, Génie Informatique et Signal (LAGIS)
CNRS : UMR8146 – Université Lille I - Sciences et technologies – Ecole Centrale de Lille
4 :  Department of Electrical Engineering Systems [Tel Aviv]
Tel Aviv University
5 :  ALIEN (INRIA Saclay - Ile de France/Inria Lille - Nord Europe)
INRIA – Polytechnique - X – Ecole Centrale de Lille – CNRS : UMR8146
LAGIS-SYNER
Sciences de l'ingénieur/Automatique / Robotique

Informatique/Automatique
delay – time-varying delay – switching system – exponential stability – Lyapunov-Krasovskii functional – LMI.
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