文献类型：期刊文献

英文题名：Almost sure stability of Caputo fractional-order switched linear systems with deterministic and stochastic switching signals

作者：Wang, Qixiang Long, Fei Mo, Lipo Yang, Jing

第一作者：Wang, Qixiang

通信作者：Long, F[1];Long, F[2]|[144401cdcd7b1b0915448]龙飞;

机构：[1]Guizhou Univ, Sch Elect Engn, Guiyang, Peoples R China;[2]Guizhou Inst Technol, Sch Artificial Intelligence & Elect Engn, Guiyang, Peoples R China;[3]Guizhou Key Lab Artificial Intelligence & Intellig, Guiyang, Peoples R China;[4]Beijing Technol & Business Univ, Sch Math & Stat, Beijing, Peoples R China;[5]Guizhou Inst Technol, Sch Artificial Intelligence & Elect Engn, Guiyang 550003, Guizhou, Peoples R China;[6]Guizhou Key Lab Artificial Intelligence & Intellig, Guiyang 550003, Guizhou, Peoples R China

第一机构：Guizhou Univ, Sch Elect Engn, Guiyang, Peoples R China

通信机构：corresponding author), Guizhou Inst Technol, Sch Artificial Intelligence & Elect Engn, Guiyang 550003, Guizhou, Peoples R China;corresponding author), Guizhou Key Lab Artificial Intelligence & Intellig, Guiyang 550003, Guizhou, Peoples R China.|贵州理工学院;

年份：2023

卷号：64

期号：4

起止页码：1296-1305

外文期刊名：AUTOMATIKA

收录：;Scopus(收录号：2-s2.0-85173763083);WOS:【SCI-EXPANDED(收录号:WOS:001080137100001)】；

基金：This research was supported by the National Natural Science Foundation of China [grant number 61813006], [grant number 61973329]; the Key Projects of Basic Research Program of Guizhou Province [grant number 20191416]; the Innovation Group of Guizhou Education Department [grant number Qianjiaohe KY [2021]012]; the Science and Technology Fund of Guizhou Province [grant number Qiankehe[2020]1Y266]; the innovation team of University in Guozhou Province [grant number 2022033]

语种：英文

外文关键词：Caputo fractional-order switched systems; deterministic switching; stochastic switching; multi-Lyapunov functions; Markov process

摘要：In this paper, we address the almost sure stability problem of Caputo fractional-order switched linear systems with deterministic and stochastic switching signals (DS-CFLSs). Firstly, due to the non-locality and memory of fractional-order switched systems, an inequality is proposed to solve the difficulties in the discussion of stability. Then, for DS-CFLSs, a deterministic switching strategy is predesigned, and stochastic switching signals are generated by the Markov process. After that, for the globally asymptotic stability almost surely (GAS a.s.) and exponential stability almost surely (ES a.s.) of DS-CFLSs, some sufficient conditions are proposed by using the multi-Lyapunov function and probability analysis methods. Finally, some numerical examples show that our results are effective.