Necessary and sufficient conditions for finite-time stability of impulsive dynamical linear systems

被引：163
|
作者：
Amato, F. [1 ]
De Tommasi, G. [2 ]
Pironti, A. [2 ]
机构：
[1] Magna Graecia Univ Catanzaro, Sch Comp & Biomed Engn, I-88100 Catanzaro, Italy
[2] Univ Naples Federico II, Dipartimento Ingn Elettr & Tecnol Informaz, Naples, Italy
来源：
AUTOMATICA | 2013年 / 49卷 / 08期
关键词：
Finite-time stability; Impulsive linear systems; Differential-difference LMIs; Differential-difference Lyapunov equations; STABILIZATION;
D O I：
10.1016/j.automatica.2013.04.004
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Sufficient conditions for the finite-time stability (FTS) of impulsive dynamical linear systems (IDLSs) have been provided in Amato, Ambrosino, Cosentino, and De Tommasi (2011). In this brief note we show that, when time-dependent IDLSs are dealt with, the sufficient condition for FTS derived in Amato, Ambrosino, Cosentino et al. (2011) is also necessary. Moreover, an alternative necessary and sufficient condition for FTS is proposed, which is based on the solution of a coupled differential-difference Lyapunov equation. This condition turns out to be more efficient from the computational point of view. The proposed approach is illustrated through some examples. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2546 / 2550
页数：5
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