Stability Analysis for a Class of Impulsive Bidirectional Associative Memory (BAM) Neural Networks with Distributed Delays and Leakage Time-Varying Delays

摘要

In this paper, by employing contraction mapping principle theorem and by finding suitable Lyapunov–Krasovskii functional, some sufficient conditions are given for the existence and the global exponential stability, the uniform asymptotic stability, the global asymptotic stability and the uniform stability of the unique equilibrium point of bidirectional associative memory neural networks with distributed delays and leakage time-varying delays. Three illustrative examples are given at the end of this paper to demonstrate the effectiveness of our theoretical results.