On finite-time stability for nonlinear impulsive switched systems

被引：63
|
作者：
Wang, Yijing [1 ]
Shi, Xiaomeng [1 ]
Zuo, Zhiqiang [1 ]
Chen, Michael Z. Q. [2 ]
Shao, Yitian [1 ]
机构：
[1] Tianjin Univ, Sch Elect Engn & Automat, Tianjin Key Lab Proc Measurement & Control, Tianjin 300072, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2013年 / 14卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Finite-time stability; Switched systems; Average dwell time; Nonlinear perturbation; Impulse effects; OUTPUT-FEEDBACK CONTROL; LINEAR-SYSTEMS; STABILIZATION; STABILIZABILITY; SUBJECT; DESIGN; MODEL;
D O I：
10.1016/j.nonrwa.2012.08.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the finite-time stability problem for switched systems subject to both nonlinear perturbation and impulse effects. The average dwell time approach, combined with the algebraic matrix theory, is utilized to derive a criterion guaranteeing that the state trajectory does not exceed a certain threshold over a pre-specified finite-time interval. The requirement that at least one subsystem should be stable to ensure asymptotic stability is no longer necessary. Moreover, the finite-time stability degree could be positive, which is a relaxed condition for asymptotic stability. A numerical example is presented to illustrate the effectiveness of the proposed method. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：807 / 814
页数：8
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