文献类型：期刊文献

英文题名：Input-to-state stability for nonlinear systems with stochastic impulses

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

年份：2020

卷号：113

外文期刊名：AUTOMATICA

收录：;EI(收录号：20195207902816);WOS:【SCI-EXPANDED(收录号:WOS:000514216600004)】；

基金：The authors would like to thank the Associate Editor and anonymous referees for their helpful comments and suggestions, which have greatly improved this paper. This work was supported by the National Key Research and Development Program of China under Grant 2018YFC0809302, the National Natural Science Foundation of China under Grant Nos. 61751305, 61673176, 61873294, by the Research Fund for Distinguished Young Scholars of Anhui Province (1908085J04), and by the Programme of Introducing Talents of Discipline to Universities (the 111 Project) under Grant B17017.

语种：英文

外文关键词：Nonlinear systems; Input-to-state stability; Impulsive systems; Markov process; Stochastic process

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.