Improved Razumikhin and Krasovskii stability criteria for time-varying stochastic time-delay systems

被引：97

作者：

Zhou, Bin ^{[1
]}

Luo, Weiwei ^{[1
]}

机构：

[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, POB 416, Harbin 150001, Heilongjiang, Peoples R China

来源：

AUTOMATICA | 2018年 / 89卷

基金：

中国国家自然科学基金;

关键词：

pth moment stability; Input-to-state stability; Razumikhin-type theorems; Krasovskii-type theorems; Stochastic time-delay systems; TO-STATE STABILITY; PTH MOMENT STABILITY; FUNCTIONAL-DIFFERENTIAL EQUATIONS; H-INFINITY CONTROL; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; RETARDED-SYSTEMS; NONLINEAR-SYSTEMS; INTERVAL SYSTEMS; INPUT;

D O I：

10.1016/j.automatica.2017.12.015

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of pth moment stability for time-varying stochastic time-delay systems with Markovian switching is investigated in this paper. Some novel stability criteria are obtained by applying the generalized Razumikhin and Krasovskii stability approaches. Both pth moment asymptotic stability and (integral) input-to-state stability are considered based on the notion and properties of uniformly stable functions and the improved comparison lemmas. The established results show that time-derivatives of the constructed Razumikhin functions and Krasovskii functionals are allowed to be indefinite, which improve the existing results on this topic. By applying the obtained results for stochastic systems, we also analyze briefly the stability of time-varying deterministic time-delay systems. Finally, examples are provided to illustrate the effectiveness of the proposed results. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：382 / 391

页数：10

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