37000gcom威尼斯2023年第46期数理大讲堂

报告题目：Stabilization of Stochastic McKean-Vlasov Equations with Feedback Control Based on 

       Discrete-Time State Observation

主讲人：袁成桂 教授  斯旺西大学(Swansea University)

主持人：何林李 教授 （37000gcom威尼斯）

时间：2023年12月26日下午15:00

地点：37000gcom威尼斯3号楼3B205

摘要：In this talk, the stability of solutions of stochastic McKean-Vlasov equations (SMVEs) via feedback control based on discrete-time state observation is investigated, which includes the $H_{\infty}$ stability, asymptotic stability and exponential stability in mean square. Since the distribution of solution is difficult to be observed, we study the corresponding particle system which can be observed for the feedback control. We show that the exponential stability of control system is equivalent to the exponential stability of the corresponding particle system. Moreover, we will give an example to illustrate the theory.

（主讲人）简介：Chenggui Yuan obtained a BSc degree from Central-China Normal University in 1985, a MSc degree from Beijing Normal University in 1988, a PhD degree from Changsha Railway University (Central South University) in 1994. He was a Lecturer and an Associate Professor in Changsha Railway University from 1994 to 2000. Then he moved to UK as a PhD student in University of Strathclyde from 2000 to 2003. He was a research associate in University of Cambridge from 2003 to 2004. He moved to Swansea University as a Lecturer in 2004, then he was promoted to Senior Lecturer, Reader and Professor. His research fields are stochastic analysis, stochastic control and population dynamics. He has published more than 130 papers. He is now an Associate Editor of three international-journals.