Synchronization control of switched linearly coupled neural networks with delay

Authors:
Wenwu Yu;Jinde Cao;Wenlian Lu
Affiliations:
Department of Mathematics, Southeast University, Nanjing 210096, China and Department of Electronic Engineering, City University of Hong Kong, Hong Kong;Department of Mathematics, Southeast University, Nanjing 210096, China;Laboratory of Nonlinear Mathematics Science, Institute of Mathematics, Fudan University, Shanghai, China
Venue:
Neurocomputing
Year:
2010

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Abstract

In this paper, synchronization control of switched linearly coupled delayed neural networks is investigated by using the Lyapunov functional method, synchronization manifold and linear matrix inequality (LMI) approach. A sufficient condition is derived to ensure the global synchronization of switched linearly coupled complex neural networks, which are controlled by some designed controllers. A globally convergent algorithm involving convex optimization is also presented to construct such controllers effectively. In many cases, it is desirable to control the whole network by changing the connections of some nodes in the complex network, and this paper provides an applicable approach. It is even applicable to the case when the derivative of the time-varying delay takes arbitrary. Finally, some simulations are constructed to justify the theoretical analysis.