Input-to-state stability for nonlinear systems with stochastic impulses

被引：160

作者：

Tang, Yang ^{[1
]}

Wu, Xiaotai ^{[2
]}

Shi, Peng ^{[3
]}

Qian, Feng ^{[1
]}

机构：

[1] East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China

[2] Anhui Polytech Univ, Sch Math & Phys, Wuhu 241000, Peoples R China

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

来源：

AUTOMATICA | 2020年 / 113卷

基金：

中国国家自然科学基金;

关键词：

Nonlinear systems; Input-to-state stability; Impulsive systems; Markov process; Stochastic process; MULTIAGENT SYSTEMS; CONSENSUS; DELAY; ISS;

D O I：

10.1016/j.automatica.2019.108766

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 problem of input-to-state stability (ISS) is systematically investigated for nonlinear systems with stochastic impulses. First, the ISS problem is considered for systems, where impulsive strengths are assumed to be stochastic and impulsive intervals are confined by the average impulsive interval. Then, the ISS problem is analyzed for nonlinear systems with both stochastic impulsive intensity and density. Several different cases are considered, i.e., cases where the impulsive instants are satisfied by a renewal process, Poisson process, semi-Markov chain and Markov chain. An example of coordination of multi-agent systems is provided to illustrate the effectiveness of the proposed new stability criteria. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：12

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