Stability in Impulsive Bi-Directional Associative Memory Neural Networks with Time-Varying Delays 1

Liping Zhang · 2009

In this paper, a class of impulsive bi-directional associative memory (BAM) neural networks with time-varying delays is investigated. By employing the delay differential inequality with impulsive initial con-ditions and M-matrix theory, some new sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium point for impulsive BAM neural networks with time-varying delays are derived. In particular, the estimate of the exponential converging rate is also provided, which depends on the system parameters. An example is given to show the effectiveness of the results obtained here.

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