Abstract
This paper is concerned with asymptotic stability of switched discrete time-delay systems. 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 asymptotic stability for the system is designed via linear matrix inequalities. Numerical example is included to illustrate the effectiveness of the result.
Highlights
As an important class of hybrid systems, switched systems arise in many practical processes that cannot be described by exclusively continuous or exclusively discrete models, such as manufacturing, communication networks, automotive engineering control and chemical processes
The main approach for stability analysis relies on the use of Lyapunov-Krasovskii functionals and linear matrix inequlity (LMI) approach for constructing a common Lyapunov function [19,20,21,22,23,24]
This paper studies asymptotic stability problem for switched linear discrete systems with interval time-varying delays
Summary
As an important class of hybrid systems, switched systems arise in many practical processes that cannot be described by exclusively continuous or exclusively discrete models, such as manufacturing, communication networks, automotive engineering control and chemical processes (see, e.g., [1,2,3] and the references therein). The stability analysis of switched linear continuous/discrete time-delay systems has attracted a lot of attention [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18]. Many important results have been obtained for switched linear continuoustime systems, there are few results concerning the stability of switched linear discrete systems with time-varying delays.
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