Global exponential stability of a class of BAM networks with time-varying delays and continuously distributed delays

Authors:
Baoxian Wang;Jigui Jian;Chuande Guo
Affiliations:
Institute of Nonlinear Complex Systems, China Three Gorges University, Yichang, Hubei 443000, China;Institute of Nonlinear Complex Systems, China Three Gorges University, Yichang, Hubei 443000, China;Institute of Nonlinear Complex Systems, China Three Gorges University, Yichang, Hubei 443000, China
Venue:
Neurocomputing
Year:
2008

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Abstract

In this paper, we have investigated the existence and uniqueness and the global exponential stability of the equilibrium point for Cohen-Grossberg type BAM neural networks with time-varying delays and continuously distributed delays. Based on Lyapunov stability theory, some sufficient conditions ensuring existence and uniqueness of the equilibrium point and the global exponential stability are derived. These new conditions obtained here include some previously known criteria. Finally, an illustrative example is given to demonstrate the effectiveness of our obtained results.