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Existence and Globally Exponential Stability of Equilibrium for BAM Neural Networks with Mixed Delays and Impulses

Authors: Xiaomei Wang, Shouming Zhong


In this paper, a class of generalized bi-directional associative memory (BAM) neural networks with mixed delays is investigated. On the basis of Lyapunov stability theory and contraction mapping theorem, some new sufficient conditions are established for the existence and uniqueness and globally exponential stability of equilibrium, which generalize and improve the previously known results. One example is given to show the feasibility and effectiveness of our results.

Keywords: Equilibrium, existence, mixed delays, globally exponential stability, Bi-directional associative memory (BAM) neural networks, Lyapunov stability theory, contraction mapping theorem

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