IJPAM: Volume 95, No. 1 (2014)

STABILITY ANALYSIS OF SWITCHED DISCRETE
TIME-DELAY SYSTEMS WITH CONVEX
POLYTOPIC UNCERTAINTIES

Manlika Rajchakit$^1$, Grienggrai Rajchakit$^2$
$^{1,2}$Department of Mathematics and Statistics
Maejo University
Chiangmai, 50290, THAILAND


Abstract. This article is concerned with robust stability of switched discrete time-delay systems with convex polytopic uncertainties. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for robust stability for switched system with convex polytopic uncertainties is designed via linear matrix inequalities.

Received: January 30, 2014

AMS Subject Classification: 47N10, 93C55, 93D20, 94C10

Key Words and Phrases: switching design, convex polytopic uncertainties, robust stability, interval time-varying delays, Lyapunov function, linear matrix inequalities

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DOI: 10.12732/ijpam.v95i1.8 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 95
Issue: 1
Pages: 69 - 78


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