Single/Multiple Integral Inequalities With Applications to Stability Analysis of Time-Delay Systems

被引：125

作者：

Chen, Jun ^{[1
,2
]}

Xu, Shengyuan ^{[1
]}

Zhang, Baoyong ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

[2] Jiangsu Normal Univ, Sch Elect Engn & Automat, Xuzhou 221116, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2017年 / 62卷 / 07期

关键词：

Integral inequality; Lyapunov-Krasovskii (L-K) functional; stability analysis; time-delay systems; STABILIZATION;

D O I：

10.1109/TAC.2016.2617739

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 technical note is concerned with the problem of stability analysis for time-delay systems. A new series of integral inequalities to bound a single integral term is presented by introducing some free matrices, which produces tighter bounds than some existing ones. Similarly, based on orthogonal polynomials defined in integral inner spaces, new series of multiple integral inequalities are presented as well, which include the existing double ones. To show the effectiveness of the proposed inequalities, their applications to stability analysis of systems with discrete and distributed delays are provided with numerical examples.

引用

页码：3488 / 3493

页数：6

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