Prof. Xinsong Yang
Sichuan University, China
Synchronization And Control for Differential Equations with Discontinuous State on the Right-Hand Sides
In this talk, we mainly focus on the existence of Filippov solution of neural networks with discontinuous activation functions and mixed time-delays (time-varying discrete delay and infinite-time distributed delay) and some synchronization control methods for differential equations with discontinuous state on the right-hand sides. Firstly, sufficient conditions for the global existence of Filippov solutions to neural networks with discontinuous activation functions and the mixed delays are given by strict mathematical proof. Then, some novel control schemes are designed to guarantee that several discontinuous chaotic systems can be driven to realize synchronization, including exponential synchronization and finite-time synchronization.
I received the B.S. degree in mathematics from Huaihua Normal University, Hunan, China, in 1992, and the M.S. degree in mathematics from Yunnan University, Yunnan, China, in 2006. From 2006 to 2012, I was with Honghe University, Honghe State, Yunnan. From 2012 to 2020, I was a professor with Chongqing Normal University, Chongqing, China. I am currently a professor with Sichuan University, Chengdu, China. From September 2008 to June 2009, he was a Visiting Scholar at the Department of Mathematics, Southeast University, China. From July to August 2014, I was a Visiting Professor at the Department of Mathematics, City University of Hongkong, China. From August to October 2015, I am a Research Fellow at the Department of Mechanical Engineering, University of Hong Kong, China. On August 2016, I was a Research Fellow at the Department of Mathematics, HongKong Polytechnic University. I serve as a reviewer of several international journals. I am the author or co-author of more than 100 papers in refereed international journals. I have been named as a Highly-Cited Researcher by Clarivate Analytics in 2019--2020. My current research interests include collective behavior in complex dynamical networks, multi-agent system, chaos synchronization, control theory, discontinuous dynamical systems and neural networks. I serve as an associate editor for the Neural Processing Letters.