文献类型：期刊文献

英文题名：Stability Analysis of Semi-Markov Jump Stochastic Nonlinear Systems

作者：Wu, Xiaotai[1,2];Shi, Peng[3];Tang, Yang[4];Mao, Shuai[4];Qian, Feng[4]

机构：[1]Anhui Polytech Univ, Minist Educ, Key Lab Adv Percept & Intelligent Control High En, Wuhu 241000, Peoples R China;[2]Key Lab Informat Percept & Cooperat Control Multi, Nanjing 210094, Peoples R China;[3]Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia;[4]East China Univ Sci & Technol, Key Lab Smart Mfg Energy Chem Proc, Minist Educ, Shanghai 200237, Peoples R China

年份：2022

卷号：67

期号：4

起止页码：2084

外文期刊名：IEEE TRANSACTIONS ON AUTOMATIC CONTROL

收录：;EI(收录号：20211610229389);WOS:【SCI-EXPANDED(收录号:WOS:000776167500046)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant Grant 61751305, and Grant 61873294, in part by the Research Fund for Distinguished Young Scholars of Anhui Province under Grant 1908085J04, and in part by the Talent Programme of Anhui Province, in part by Program of Shanghai Academic Research Leader under Grant 20XD1401300, in part by YKey-Area Research and Development Program of Guangdong Province under Grant 2020B0909020001, in part by the Programme of Introducing Talents of Discipline to Universities (the 111 Project) under Grant B17017, and in part by the Fundamental Research Funds for the Central Universities under Grant 30919011409. Recommended by Associate Editor A. Chaillet.

语种：英文

外文关键词：Switches; Nonlinear systems; Markov processes; Stability criteria; Asymptotic stability; Circuit stability; Control theory; Exponential stability; nonlinear systems; semi-Markov chain; stochastic systems

摘要：The problem of exponential stability for semi-Markov jump stochastic nonlinear systems is studied in this article. Semi-Markov chain is well known as an extension of the Markov chain, whose sojourn time distribution depends on the current and next states, and is no longer limited to the exponential distribution. However, in the existing works, the independence and the distribution function limitation are imposed on the sojourn time of semi-Markov jump systems. In this article, without additional constraints for the sojourn time, the problem of almost surely exponential stability is investigated for semi-Markov jump stochastic nonlinear systems by developing a new stochastic analysis method. In addition, mode-dependent linear comparable relationships are assumed among Lyapunov like functions, which can effectively reduce the conservatism caused by mode-independent case. To validate the developed theoretic results, two examples are provided in this article.