Extended Finite-Time Boundedness and Stability for Switched Linear Systems with Large Delay Period

被引：5
|
作者：
Wang, Chunxiao [1 ,2 ]
Wu, Yuqiang [1 ]
Zong, Guangdeng [1 ]
机构：
[1] Qufu Normal Univ, Inst Automat, Rizhao 276862, Shandong, Peoples R China
[2] Shandong Jianzhu Univ, Sch Sci, Jinan 250101, Shandong, Peoples R China
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2017年 / 36卷 / 09期
关键词：
Finite-time stability; Finite-time boundedness; Switched system; Large delay period; Piecewise Lyapunov functional; DEPENDENT STABILITY; NONLINEAR-SYSTEMS; STABILIZATION; INTERVAL;
D O I：
10.1007/s00034-016-0473-6
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, finite-time stability (FTS) and finite-time boundedness (FTB) are investigated for a class of switched linear systems with large delay period and input disturbances. The limitation of the frequency and the maximum ratio of large delay period are used to guarantee the properties of FTS and FTB. By constructing a piecewise Lyapunov functional with large delay integral terms, sufficient conditions that can guarantee the FTS and FTB are developed in the form of linear matrix inequalities. Two numerical examples are provided to demonstrate the effectiveness of the proposed results.
引用
收藏
页码：3616 / 3629
页数：14
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