期刊论文详细信息
Advances in Difference Equations | |
LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays | |
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
【 预 览 】
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