Necessary conditions of exponential stability for a class of linear neutral-type time-delay systems

被引：6

作者：

Zhang, Xian ^{[1
]}

Zhao, Ning ^{[1
]}

Shi, Peng ^{[2
,3
]}

机构：

[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Heilongjiang, Peoples R China

[2] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia

[3] Victoria Univ, Coll Engn & Sci, Melbourne, Vic 8001, Australia

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2019年 / 92卷 / 06期

基金：

澳大利亚研究理事会; 中国国家自然科学基金;

关键词：

Exponential stability; neutral-type time-delay systems; complete-type Lyapunov-Krasovskii functional;

D O I：

10.1080/00207179.2017.1390259

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For a class of linear neutral-type time-delay systems (NTTDSs), this paper will present necessary exponential stability conditions by employing the Lyapunov--Krasovskii functional approach. Since these conditions are represented by the Lyapunov matrix and the neutral coefficient matrix, they not only offer a novel tool for analysing stability of linear NTTDSs by characterising instability domains, but also extend the existing results of the neutral-delay-free systems. As a medium step, the relations between the Lyapunov matrix and the fundamental matrix are characterised. The validation of the obtained results is explained by numerical examples and comparison with some existing results.

引用

页码：1289 / 1297

页数：9

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