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

被引：2

作者：

Rajchakit, Manlika ^{[1
]}

Niamsup, Piyapong ^{[2
,3
]}

Rajchakit, Grienggrai ^{[1
]}

机构：

[1] Maejo Univ, Fac Sci, Div Math & Stat, Chiangmai 50290, Thailand

[2] Chiang Mai Univ, Fac Sci, Dept Math, Chiangmai 50200, Thailand

[3] CHE, Ctr Excellence Math, Bangkok 10400, Thailand

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

decentralized exponential stability; large-scale systems; uncertain systems; interval time-varying delay; Lyapunov function; linear matrix inequalities; ROBUST STABILITY; STABILIZATION; CRITERIA; DESIGN;

D O I：

10.1186/1687-1847-2013-332

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：16

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