Interval stability and interval stabilization of linear stochastic systems with time-varying delay

被引：26

作者：

Zhang, Huasheng ^{[1
]}

Xia, Jianwei ^{[1
]}

Park, Ju H. ^{[2
]}

Sun, Wei ^{[1
]}

Zhuang, Guangming ^{[1
]}

机构：

[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Shandong, Peoples R China

[2] Yeungnam Univ, Dept Elect Engn, Kyongsan 38541, South Korea

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2021年 / 31卷 / 06期

基金：

中国国家自然科学基金;

关键词：

interval stability; interval stabilization; L-K functional; time-delay system; NEURAL-NETWORKS; CRITERIA;

D O I：

10.1002/rnc.5408

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 article first investigates the criterion of interval stability for linear stochastic systems with time-varying delay via equivalent systems and Lyapunov-Krasovskii (L-K) functionals. Different from existing stability conditions, the criterion of interval stability can be used to make a more accurate judgment of the stability for linear time-delay systems. In other words, the new criterion can judge not only the stability of the system but also the speed of its convergence. Meanwhile, based on the criterion of the interval stability, the condition of interval stabilization is derived, which cannot only ensure the stability of the linear time-delay systems, but also adjust the convergence rate of the states to the ideal level. A numerical instance is presented to illustrate the advantages of the resulting interval stabilization criterion.

引用

页码：2334 / 2347

页数：14

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