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Prof. Changyou Wang

Prof. Changyou Wang |

Prof. Changyou Wang

College of Applied Mathematics, Chengdu University of Information Technology, China

**Speech title:** Synchronization analysis of a fractional-order non-autonomous neural network with time delay

**Abstract**

In this talk, we are mainly concerned with the synchronization problem of a class of fractional-order non-autonomous neural network models with time delay. By using the Mittag-Leffler function and the linear feedback control, the analytic expression of the synchronous controller is given. Moreover, a sufficient condition is obtained ensuring the synchronization of such delayed fractional-order neural network with Caputo derivatives by developing some new analysis methods and using the theory of delayed differential inequalities as well as constructing a suitable Lyapunov function. Finally, some numerical simulations are given to verify the effectiveness of the proposed results. As we all know, there has been a lot of research on the synchronization of integer (fractional) order autonomous neural network models with or without time delay. However, there is little research on the synchronization properties of non-autonomous (variable coefficient) neural network models with delay.

**Biography**

Changyou Wang is Professor and Director of the Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing, China, since 2012, and is Professor of the College of Applied Mathematics, Chengdu University of Information Technology, Sichuan, China, since 2017. He acts as a reviewer for Mathematical Reviews for the American Mathematical Society, since 2014. His education background is as follows: (1) Ph.D. degree from College of Applied Science, Beijing University of Technology, Beijing, China, in September 2008–June 2012, majoring in applied mathematics; (2) M.S. degree from College of Mathematics and Software, Sichuan Normal University, Chengdu, China, in September 2001–June 2004, majoring in applied mathematics; (3) B.S. degree from College of Mathematics, East China University of Science and Technology, Shanghai, China, majoring in basic mathematics, in September 1987–June 1989.