I received my B.S. degree in 1986 from Anhui Normal University, Wuhu, China, my M.S. degree in 1989 from Yunnan University, Kunming, China, and my Ph.D. degree in 1998 from Sichuan University, Chengdu, China, all in mathematics/applied mathematics. From March 1989 to May 2000, I was with Yunnan University. In May 2000, I joined the Department of Mathematics, Southeast University, Nanjing, China.

From July 2001 to June 2002, I was a Post-doctoral Research Fellow in the Department of Automation and Computer-aided Engineering, Chinese University of Hong Kong. From August 2002 to October 2002, I was a Senior Visiting Scholar at the Institute of Mathematics, Fudan University, Shanghai, China.

“The obtained results could be applied to many fields, such as signal processing, moving images processing, speed detection of moving objects, quadratic optimization, associative memory, pattern classification, fixed point computation, and robotics and control, etc.”

From February 2003 to May 2003, I was a Senior Research Associate in the Department of Mathematics, City University of Hong Kong. From July 2003 to September 2003, I was a Senior Visiting Scholar in the Institute of Intelligent Machines, Chinese Academy of Sciences, Hefei, China.

From January 2004 to April 2004, I was a Research Fellow in the Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong. From January 2005 to April 2005, I was a Research Fellow in the Department of Mathematics, City University of Hong Kong, Hong Kong.

From January 2006 to April 2006, I was a Research Fellow in the Department of Electronics Engineering, City University of Hong Kong, Hong Kong. From February 2007 to April 2007, I was a Research Fellow in the Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong. In 2006 and 2007, I was a Visiting Research Fellow and a Visiting Professor in the School of Information Systems, Computing and Mathematics, Brunel University, UK.

I am currently a Professor and Doctoral Advisor at the Southeast University, prior to which I was a Professor at Yunnan University from 1996 to 2000. I have authored or coauthored more than 150 journal papers and five edited books, and I am a reviewer of Mathematical Reviews and Zentralblatt-Math.

I am a Senior Member of IEEE, and an Associate Editor of the IEEE Transaction On Neural Networks, Journal Of The Franklin Institute, Mathematics And Computers In Simulation, and Neurocomputing.

My research interests include nonlinear systems, neural networks, complex systems, complex networks, stability theory, computational intelligence, intelligent control, differential equations, and applied mathematics.

  What first interested you in artificial neural networks?

I first became interested in artificial neural networks in 1994. When I started working in this field in 1995, there were only a few interesting works and some related references on artificial neural networks (such as K. Gopalsamy, X.X. Liao, Hopfield J.J., B. Kosko, M.A. Cohen, and S. Grossberg’s works).

In this paper, we established a new stability criterion for checking the existence of a unique equilibrium point and its global asymptotic stability of delayed CNNs based on the Lyapunov stability theorem as well as some facts about the positive definiteness and inequality of matrices. This criterion is independent of the delay parameter and imposed constraints on both the feedback matrices and the matrix-norm inequality of the delay feedback matrix, and our results provide two parameters to appropriately compensate for the tradeoff between matrix definite condition on feedback matrix and the norm inequality condition on delayed feedback matrix. Therefore, the given condition is less restrictive than that given in the earlier references.

The obtained results could be applied to many fields, such as signal processing, moving images processing, speed detection of moving objects, quadratic optimization, associative memory, pattern classification, fixed point computation, and robotics and control, etc.

The main contributions of our paper are to introduce the theory of functional differential equations and Lyapunov functional method into the study of neural networks, and to present several new criteria for ascertaining the stability of a class of delayed cellular neural networks (DCNN). These criteria can be used to design globally stable networks and thus have important significance in both theory and application.

(1) Theory of neurodynamics

(2) Synchronization scheme of coupled neural networks

(3) Communication schemes based on synchronization

(4) Bifurcation and bifurcation control of neural networks

(5) Parameters identification in delayed chaotic neural networks

(6) Optimization methods of neural networks

(7) Cryptography based on delayed chaotic neural networks

(8) Robust Adaptive Control of Neural Networks

  Where do you see this field going in five to ten years?

(1) Theory of Neurodynamics

(2) Optimization and control methods of neural networks

(3) Engineering applications of neural networks

(4) Neural computation

(5) The study of coupled neural networks