文献类型：会议论文

英文题名：Exponentially Almost Sure Stability of Dual Switching Discrete-time Linear Positive System

作者：Hu, Yina Long, Fei

第一作者：Hu, Yina

通信作者：Hu, YN[1]

机构：[1]Guizhou Univ, Coll Big Date & Informat Engn, Guiyang 550025, Peoples R China;[2]Guizhou Inst Technol, Coll Artificial Intelligence & Elect Engn, Guiyang 550003, Peoples R China;[3]Special Key Lab Artificial Intelligence & Intelli, Guiyang 550003, Peoples R China

第一机构：Guizhou Univ, Coll Big Date & Informat Engn, Guiyang 550025, Peoples R China

通信机构：corresponding author), Guizhou Univ, Coll Big Date & Informat Engn, Guiyang 550025, Peoples R China.

会议论文集：39th Chinese Control Conference (CCC)

会议日期：JUL 27-29, 2020

会议地点：Shenyang, PEOPLES R CHINA

语种：英文

外文关键词：Dual Switching; Exponentially Almost Sure Stability; Stochastic Multiple Linear Co-positive Lyapunov Function; Positive System; Deterministic Switching Strategy

年份：2020

摘要：Dual Switching Discrete-time Linear Positive System (DSDLPS), which subjects simultaneously to deterministic switching mechanisms and stochastic Markov switching mechanisms commutation, is a class of switched system that is switched among finite Markov Switching Discrete-time Linear Positive Systems (MSDLPS), that is, Markov Switching Discrete-time Linear Positive System with non-negative state variables. Meanwhile, the transition probability of the Markov chain is not fixed and is determined by the current position of deterministic switching. In this paper, we address the exponentially almost sure stability problem for DSDLPS. By using stochastic multiple linear co-positive Lyapunov function and the transient analysis of Markov chains, a sufficient condition for the exponentially almost sure stability of DSDLPS under the per-designed deterministic switching strategy is presented. It is remarkable that, owing to the positive system, the sufficient conditions for the exponentially almost sure stability of DSDLPS are solvable in terms of linear programming. Finally, a numerical example is given to illustrate the effectiveness of our results.