Mean square robust stability of stochastic switched discrete-time systems with convex polytopic uncertainties

Abstract

This article is concerned with mean square robust stability of stochastic 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 the mean square robust stability for the stochastic switched system with convex polytopic uncertainties is designed via linear matrix inequalities. Numerical examples are included to illustrate the effectiveness of the results.

New stabilization results for discrete-time positive switched systems with forward mode-dependent average dwell time

“…The application of such systems can be found in various areas such as event-driven systems, embedded systems, chemical processes, controlled systems and so on (Goebel et al, 2009;Li et al, 2005;Liberzon, 2003). The problems of stability analysis and controller synthesis of switched systems have been highlighted by many researchers (see Phat et al (2011), Ratchagit et al (2010), Rajchakit et al (2013), Rajchakit (2014a), Rajchakit (2014b), Wang et al (2009), Wang et al (2013a), Wang et al (2013b), and the references cited therein).…”

Robust stability and H∞ control for nonlinear discrete‐time switched systems with interval time‐varying delay

“…However, as time goes by, discrete‐time switched systems have gained more importance among researchers focusing on switched systems. During the last decade, there have been many studies on stability analysis and H ∞ controller synthesis for discrete‐time switched systems . In the study of Rajchakit et al, the sufficient conditions for robust stability and stabilization of a class of uncertain switched discrete‐time systems were presented.…”

“…During the last decade, there have been many studies on stability analysis and H ∞ controller synthesis for discrete-time switched systems. [16][17][18][19][20][21] In the study of Rajchakit et al, 16 the sufficient conditions for robust stability and stabilization of a class of uncertain switched discrete-time systems were presented. In the study of Arunkumar et al, 17 stability of switched nonlinear systems with delay and disturbance was investigated.…”

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