EXPONENTIAL STABILITY OF SINGULARLY PERTURBED DISCRETE SYSTEMS WITH TIME-DELAY

被引：0
|
作者：
Park, Kyun-Sang [1 ]
Lim, Jong-Tae [1 ]
机构：
[1] Korea Adv Inst Sci & Technol, Dept Elect Engn, 373-1 Guseong Dong, Daejeon 305701, South Korea
来源：
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2013年 / 9卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Singularly perturbed system; Discrete-time system; Time-delay;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, the exponential stability of singularly perturbed discrete systems (SPDSs) with time-delay is investigated via the Lyapunov's direct method. In the previous results about the SPDS with time-delay, the asymptotic stability is obtained using the frequency-domain approach. However, we propose a composite Lyapunov function to show that the SPDS with time-delay is exponentially stable with the decay rate gamma. In terms of the LMI, the sufficient condition for the exponential stability of the linear SPDS is presented. Moreover, based on the linear SPDS result, the exponential stability of the nonlinear SPDS with time-delay is also considered. Finally, numerical examples are given to validate the proposed results.
引用
收藏
页码：865 / 874
页数：10
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