Asymptotical stability of fractional order systems with time delay via an integral inequality

被引：63

作者：

He, Bin-Bin ^{[1
]}

Zhou, Hua-Cheng ^{[2
]}

Chen, YangQuan ^{[3
]}

Kou, Chun-Hai ^{[4
]}

机构：

[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China

[2] Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China

[3] Univ Calif, Mechatron Embedded Syst & Automat Lab, Merced, CA 95343 USA

[4] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2018年 / 12卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Lyapunov methods; asymptotic stability; delays; fractional order systems; time delay; integral inequality; fractional order differential systems; fractional order case; generalised Halanay inequality; asymptotical stability conditions; STABILIZATION;

D O I：

10.1049/iet-cta.2017.1144

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this study, the asymptotical stability for several classes of fractional order differential systems with time delay is investigated. The authors first present an integral inequality by which the Halanay inequality is extended to fractional order case. Based on the generalised Halanay inequality, the authors establish several asymptotical stability conditions under which the fractional order systems with time delay are asymptotically stable. It is worth to note that these stability conditions are easy to check without resorting to the solution expression of the systems.

引用

页码：1748 / 1754

页数：7

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