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Stability in impulsive Cohen-Grossberg-type BAM neural networks with distributed delays
Authors:Kelin Li  Liping Zhang  Xinhua Zhang  Zuoan Li
Institution:Department of Mathematics, Sichuan University of Science & Engineering, Sichuan 643000, China
Abstract:In this paper, a class of impulsive Cohen-Grossberg-type bi-directional associative memory (BAM) neural networks with distributed delays is investigated. By establishing an integro-differential inequality with impulsive initial conditions and employing the homeomorphism theory, the M-matrix theory and inequality technique, some new general sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium point for impulsive Cohen-Grossberg-type BAM neural networks with distributed delays are obtained. In particular, the estimate of the exponential convergence rate is also provided, which depends on the system parameters and impulsive disturbed intension. An example is given to show the effectiveness of the results obtained here.
Keywords:Bi-directional associative memory  Cohen-Grossberg neural networks  Distributed delays  Impulses  Global exponential stability
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