Prof.  Quanxin  Zhu
Hunan Normal University,  China

Title: Stabilization of stochastic nonlinear delay systems via the event-triggered feedback control method

Abstract:

In this report, we study the stabilization problem of stochastic nonlinear delay systems with exogenous disturbances and the event-triggered feedback control. By introducing the notation of input-to-state practical stability and an event-triggered strategy, we establish the inputto-state practically exponential mean-square stability of the suggested system. Moreover, we investigate the stabilization result by designing the feedback gain matrix and the eventtriggered feedback controller, which is expressed in terms of linear matrix inequalities (LMIs). Also, the lower bounds of inter-execution times by the proposed event-triggered control method are obtained. Finally, an example is given to show the effectiveness of the proposed method. Compared with large number of results for discrete-time stochastic systems, only a few results have appeared on the event-triggered control for continuous-time stochastic systems. In particular, there has been no published papers on the event-triggered control for continuous-time stochastic delay systems. Our work is a first try to fill the gap on the topic.

Biography:

Professor Quanxin Zhu received the Ph.D. degree from Sun Yatsen (Zhongshan) University, Guangzhou,China, in 2005. He is currently a professor of Hunan Normal University, and he has obtained the Alexander von Humboldt Foundation of Germany. Professor Zhu is Distinguished professor of Furong scholars in Hunan Province, Leading talent of scientific and technological innovation in Hunan Province, and deputy director of the Key Laboratory of computing and stochastic mathematics of the Ministry of education. Professor Zhu is a Highly Cited Scientist in the world, in 2018-2020. Also, Professor Zhu is a senior member of the IEEE and he is the Lead Guest Editor of 6 international journals. He has obtained the first prize of Hunan Natural Science Award in 2021, the list of top 100000 scientists in the world in 2021, and the list of top 2% scientists in 2020. Professor Zhu has obtained 2011 Annual Chinese ``One Hundred The Most Influential International Academic Paper" Award and has been One of most cited Chinese researchers in 2014-2020, Elsevier. Professor Zhu is a reviewer of more than 50 other journals and he is the author or coauthor of more than 250 journal papers. His research interests include stochastic control, stochastic differential equations, stochastic stability, stochastic complex nonlinear systems, Markovian jumpsystems and stochastic complex networks.