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.
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页数：16
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