Global exponential stability of interval general BAM neural networks with reaction-diffusion terms and multiple time-varying delays

Authors:
Zhengqiu Zhang;Yan Yang;Yesheng Huang
Affiliations:
College of Mathematics, Hunan University, Changsha, 410082, PR China;College of Mathematics, Hunan University, Changsha, 410082, PR China;College of Computer, Hunan University, Changsha, 410082, PR China
Venue:
Neural Networks
Year:
2011

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Abstract

In this paper, we first discuss the existence and uniqueness of the equilibrium point of interval general BAM neural networks with reaction-diffusion terms and multiple time-varying delays by means of using degree theory. Then by applying the existence result of an equilibrium point and constructing a Lyapunov functional, we discuss global exponential stability for above neural networks. In the last section, we also give an example to demonstrate the validity of our global exponential stability result for above neural network.