Stability and Robust Stability of Integral Delay Systems With Multiple Exponential Kernels

被引：6

作者：

Li, Zhao-Yan ^{[1
]}

Fang, Ru ^{[1
]}

Wang, Yong ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

来源：

IEEE ACCESS | 2017年 / 5卷

基金：

中国国家自然科学基金;

关键词：

Time-delay systems; multiple Jensen inequality; stability; robust stability; linear matrix inequalities (LMIs); TIME-VARYING DELAY; NEURAL-NETWORKS; ADDITIONAL DYNAMICS; SYNCHRONIZATION;

D O I：

10.1109/ACCESS.2017.2761352

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies stability analysis of a class of integral delay systems with multiple exponential kernels. By using the multiple Jensen inequalities established recently and the Lyapunov Krasovskii functional approach, some new sufficient stability conditions expressed by linear matrix inequalities (LMIs) are obtained. It is shown that the obtained stability conditions are always less conservative than the existing ones. Robust stability of this class of integral delay systems with parameter uncertainties is also investigated and some sufficient conditions expressed by LMIs are obtained. The effectiveness of the proposed methods is illustrated by some numerical examples.

引用

页码：21650 / 21659

页数：10