文献类型：期刊文献

英文题名：Almost Sure Stability of Dual Switching Continuous-time Nonlinear System With Deterministic and Stochastic Subsystems

作者：Mu, Qian-qian Long, Fei Wang, Qi-xiang Zhang, Lang Mo, Li-po

第一作者：Mu, Qian-qian

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

机构：[1]Guizhou Univ, Coll Big Data & Informat Engn, Guiyang, Guizhou, Peoples R China;[2]Guizhou Educ Univ, Sch Math & Big Data, Guiyang, Guizhou, Peoples R China;[3]Guizhou Inst Technol, Coll Artificial Intelligence & Elect Engn, Special Key Lab Artificial Intelligence & Intellig, Guiyang, Guizhou, Peoples R China;[4]Beijing Technol & Business Univ, Sch Math & Stat, Beijing, Peoples R China

第一机构：Guizhou Univ, Coll Big Data & Informat Engn, Guiyang, Guizhou, Peoples R China

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

年份：2024

卷号：22

期号：1

起止页码：127-135

外文期刊名：INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS

收录：;EI(收录号：20240115328308);Scopus(收录号：2-s2.0-85181241184);WOS:【SCI-EXPANDED(收录号:WOS:001136094700003)】；

基金：This work is supported by National Natural Science Foundation (61863006, 61973329), the Basic Research Project (Key Project) of Guizhou Province (20191416), Youth Science and Technology Talent Growth Project of Guizhou Education Department (QianJiaoHe-KY-Zi[2021]239), the Innovation Team of Universities in Guizhou Province (2022033) and the High-level talent research start-up project for Guizhou Institute of Technology(2019).

语种：英文

外文关键词：Almost surely exponential stability; almost surely globally asymptotical stability; dual switching nonlinear system; probability analysis; stochastic multi-Lyapunov function

摘要：In this paper, the almost surely globally asymptotical stability and the almost surely exponential stability for dual switching continuous-time nonlinear system are investigated by using the probability analysis method and stochastic Multi-Lyapunov function, respectively. Different from the previous research results, it is the first time that dual switching continuous-time nonlinear system is used as a study object to investigate its switching stability. Then, the probability analysis method is used to overcome the deficiency that the ergodicity no longer holds due to the variable transition rate of Markov process. Some sufficient conditions for the globally asymptomatic stability almost surely and the almost surely exponential stability of dual switching continuous-time nonlinear system are given under the pre-designed deterministic switching strategy. Finally, two numerical examples are provided to verify the effectiveness of the proposed approach.