Stability of abstract linear switched impulsive differential equations

被引：36

作者：

Slyn'ko, Vitalii ^{[1
]}

Tunc, Cemil ^{[2
]}

机构：

[1] NAS Ukraine, SP Timoshenko Inst Mech, Stabil Proc Dept, UA-03680 Kiev 57, Ukraine

[2] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey

来源：

AUTOMATICA | 2019年 / 107卷

关键词：

Lyapunov stability; Hilbert spaces; Switched systems; Impulsive systems; Lyapunov function; SYSTEMS;

D O I：

10.1016/j.automatica.2019.06.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Linear impulsive switched differential equations in Hilbert space are studied. We propose a new method of stability investigation, which is based in constructing an equivalent impulsive system without switching. Using operator-valued and scalar Lyapunov functions, sufficient conditions for Lyapunov stability of linear switched impulsive equations in a Banach space are established. The examples of studies of this class of equations with periodic switching are given. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：433 / 441

页数：9