News & Events
Speaker: Zhu Quanxin, Distinguished Professor, Hunan Normal University
Date: October 28, 2022
Location: Tencent Meeting
Sponsor: School of Mathematics, Shandong University
Switched systems are composed of both continuous-time and discrete-time subsystems. Different from the traditional deterministic switched systems and Markov switching systems, we are concerned with stochastic nonlinear systems with semi-Markov switching. Firstly, we introduce the background of our concerning questions, and some existing results on this topic. Then, we present the definitions and properties of semi-Markov process, as well as the model of semi-Markov switched stochastic system. Next, we present our main result, which removes the previous strong condition: the transition rates are required to be uniformly bounded. Finally, we make some comparisons with some known results on Markov switching systems.
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