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Zbl 1102.68117
Li, Yao-Tang; Yang, Chang-Bo
Global exponential stability analysis on impulsive BAM neural networks with distributed delays. (English)
[J] J. Math. Anal. Appl. 324, No. 2, 1125-1139 (2006). ISSN 0022-247X

Summary: Using M-matrix and topological degree tool, sufficient conditions are obtained for the existence, uniqueness and global exponential stability of the equilibrium point of bidirectional associative memory neural networks with distributed delays and subjected to impulsive state displacements at fixed instants of time by constructing a suitable Lyapunov functional. The results remove the usual assumptions that the boundedness, monotonicity, and differentiability of the activation functions. It is shown that in some cases, the stability criteria can be easily checked. Finally, an illustrative example is given to show the effectiveness of the presented criteria.

MSC 2000:: *68T05 Learning and adaptive systems

Keywords: global exponential stability; bidirectional associative memory; distributed delays; impulses; nonsingular $M$-matrix

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