New results on stability analysis for systems with discrete distributed delay

被引：336

作者：

Zeng, Hong-Bing ^{[1
]}

He, Yong ^{[2
]}

Wu, Min ^{[2
]}

She, Jinhua ^{[2
,3
]}

机构：

[1] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China

[2] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China

[3] Tokyo Univ Technol, Sch Engn, Tokyo 1920982, Japan

来源：

AUTOMATICA | 2015年 / 60卷

基金：

中国国家自然科学基金;

关键词：

Systems with time delay; Integral inequality; Stability; Lyapunov-Krasovskii functional; ROBUST STABILITY; STABILIZATION;

D O I：

10.1016/j.automatica.2015.07.017

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The integral inequality technique is widely used to derive delay-dependent conditions, and various integral inequalities have been developed to reduce the conservatism of the conditions derived. In this study, a new integral inequality was devised that is tighter than existing ones. It was used to investigate the stability of linear systems with a discrete distributed delay, and a new stability condition was established. The results can be applied to systems with a delay belonging to an interval, which may be unstable when the delay is small or nonexistent. Three numerical examples demonstrate the effectiveness and the smaller conservatism of the method. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：189 / 192

页数：4

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