LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays

Advances in Difference Equations

Grienggrai Rajchakit¹  Piyapong Niamsup²  Manlika Rajchakit³ 

[1] Center of Excellence in Mathematics, CHE, Bangkok, Thailand;Department of Mathematics, Faculty of Science, Chiang Mai University, Chiangmai, Thailand;Division of Mathematics and Statistics, Faculty of Science, Maejo University, Chiangmai, Thailand

关键词: decentralized exponential stability;    large-scale systems;    uncertain systems;    interval time-varying delay;    Lyapunov function;    linear matrix inequalities;   

DOI  :  10.1186/1687-1847-2013-332

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper addresses decentralized exponential stability problem for a class of linear large-scale systems with time-varying delay in interconnection. The time delay is any continuous function belonging to a given interval, but not necessarily differentiable. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, new delay-dependent sufficient conditions for the existence of decentralized exponential stability are established in terms of LMIs. Numerical examples are given to show the effectiveness of the obtained results.

【 授权许可】

CC BY