New sufficient conditions for the asymptotic stability of discrete time-delay systems

Advances in Difference Equations

P Sangapate¹ 

[1] Department of Mathematics, Maejo University, Chiangmai, Thailand

关键词: Switching design;    discrete system;    asymptotic stability;    Lyapunov function;    linear matrix inequality;   

DOI  :  10.1186/1687-1847-2012-28

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY