On almost automorphic solutions for cellular neural networks with time-varying delays in leakage terms on time scales

摘要

In this paper, cellular neural networks(CNNs) with time-varying leakage delays on time scales are investigated. By applying the existence of the exponential dichotomy of linear dynamic equations on time scales, fixed point theorem and the theory of calculus on time scales, a set of sufficient conditions are obtained for the existence and exponential stability of almost automorphic solutions for the model. An example with its numerical simulations is given to illustrate the feasibility and effectiveness of the obtained results.