Prof. Xinsong Yang

Sichuan University, China

Title：
Synchronization of Coupled Time-Delay Neural Networks with Mode-Dependent Average Dwell Time Switching

Abstract：
In the literature, the effects of switching with average dwell time (ADT), Markovian switching, and intermittent coupling on stability and synchronization of dynamic systems have been extensively investigated. However, all of them are considered separately because it seems that the three kinds of switching are different from each other. This paper proposes a new concept to unify these switchings and considers global exponential synchronization almost surely (GES a.s.) in an array of neural networks (NNs) with mixed delays (including time-varying delay and unbounded distributed delay), switching topology, and stochastic perturbations. A general switching mechanism with transition probability (TP) and mode-dependent average dwell time (MDADT) (\emph{i.e.} TP-based MDADT switching in this paper) is  introduced. By designing a multiple Lyapunov-Krasovskii functional and developing a set of new analytical techniques, sufficient conditions are obtained to ensure that the coupled NNs with the general switching topology achieve GES a.s., even in the case that there are both synchronizing and non-synchronizing modes. Our results have removed the restrictive condition that the increment coefficients of the multiple Lyapunov-Krasovskii functional at switching instants are larger than one. As applications, the coupled NNs with Markovian switching topology and intermittent coupling are employed. Numerical examples are provided  to demonstrate the effectiveness and the merits of the theoretical analysis.

Biography：

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.