文献类型：会议论文

英文题名：Almost sure stability for a class of dual switching linear discrete-time systems

作者：Long, Fei Liu, Cai Ou, Weihua

第一作者：龙飞

通信作者：Ou, Weihua

机构：[1] School of Electrical Engineering, Guizhou Institute of Technology, Guiyang, China; [2] College of Big Data and Information Engineering, Guizhou University, Guiyang, China; [3] School of Big Data and Computer Science, Guizhou Normal University, Guiyang, China

第一机构：贵州理工学院电气与信息工程学院

语种：英文

外文关键词：Digital control systems - Discrete time control systems - Linear matrix inequalities - Linear systems - Lyapunov functions - Markov chains - Stochastic systems - Switching

年份：2021

摘要：In this paper, a dual switching discrete-time linear system, simultaneously subject to deterministic switching and Markov chain, is considered. This study does not consider the transition probability of the Markov chain as fixed but determined by the current position of deterministic switching. Namely, such dual switching discrete-time linear system is composed of a family of discrete-time Markov jump systems and follows a rule that directs the switching sequences between them. The exponentially almost sure stability problem, for dual switching discrete-time linear system with exponential uncertainty, is addressed by using persistent dwell time and stochastic multi-Lyapunov function. The sufficient conditions for the exponentially almost sure stability of dual switching discrete-time linear system are expressed as linear matrix inequalities. Finally, a simulation example demonstrates the validity of the derived results. ? 2020 John Wiley & Sons, Ltd.