Lecture Topic：Synchronization for differential equations with discontinuous state on the right-hand side

Lecturer: Prof. Yang Xinsong

Lecture Time: September 18, 2019 (Wednesday), 15:00-17:00

Lecture Location: Mingli Building A514

About the Lecturer:

Yang Xinsong, professor and doctoral supervisor at Chongqing Normal University. He is the reviewer at AMS Mathematical Reviews and more than 20 SCI journals，associate editor at Neural Processing Letters, and expert board member at CCCN 2019. He has published more than 100 papers with 92 papers indexed by SCI and 3600 citations by SCI-indexed journals, and 218 citations in the most cited paper.

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.

Host Organizations:

School of Sciences

SWPU Department of Science and Technology