一类具有大时滞的切换时滞系统的稳定性分析-陕西师范大学学报期刊社网站

陕西师范大学学报（自然科学版）

数学与计算机科学

一类具有大时滞的切换时滞系统的稳定性分析

史鑫鹏, 吴保卫*

(陕西师范大学数学与信息科学学院, 陕西西安 710119)

吴保卫,男,教授，博士生导师。E-mail: Wubw@snnu.edu.cn

摘要:

研究了一类具有大时滞的切换时滞系统稳定性分析的问题,提出了具有大时滞的非线性切换时滞系统指数稳定的判定方法。考虑大时滞存在时，线性切换时滞系统的一些子系统可能不稳定的情况下，通过构造新的Lyapunov函数，使用自由权矩阵方法和平均驻留时间方法，得到所考虑系统是指数稳定的充分条件;并举出数值例子验证了所提出方法的有效性。

关键词：

切换时滞系统; 大时滞; 指数稳定

收稿日期：

2017-04-17

中图分类号：

O231.1

文献标识码：

文章编号：

1672-4291(2018)02-0001-05

基金项目：

国家自然科学基金(61403241,11371233)

Doi:

Stability analysis of a class of switched delay systems with large delay period

SHI Xinpeng, WU Baowei*

(School of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710119, Shaanxi, China)

Abstract:

The stability issue of a class of switched delay systems with large delay period is studied.A sufficient criterion is proposed to guarantee exponentially stability of nonlinear switched delay systems with large delay period. Then some subsystems of linear switched delay systems may unstable when the large delay period exists are considered, the sufficient conditions are provided to ensure the exponentially stability of the systems which we consider by constructing a new Lyapunov functional and using the free-weighting matrix method and the average dwell time method.A numerical example is given to illustrate the validity of the presented method.

KeyWords:

switched delay systems; large delay period; exponentially stability