Speaker: Zhu Quanxin, Distinguished Professor, Hunan Normal University

Date: October 28, 2022

Time: 10:15-12:00

Location: Tencent Meeting

Sponsor: School of Mathematics, Shandong University

Abstract:

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.

For more information, please visit:

https://view.sdu.edu.cn/info/1020/170951.htm