Pseudo almost periodic solutions for neutral type high-order Hopfield neural networks with mixed time-varying delays and leakage delays on time scales

摘要

In this paper, a class of neutral type high-order Hopfield neural networkswith mixed time-varying delays and leakage delays on time scales is proposed.Based on the exponential dichotomy of linear dynamic equations on time scales,Banach's fixed point theorem and the theory of calculus on time scales, somesufficient conditions are obtained for the existence and global exponentialstability of pseudo almost periodic solutions for this class of neuralnetworks. Our results are completely new. Finally, we present an example toillustrate our results are effective. Our example also shows that thecontinuous-time neural network and its discrete-time analogue have the samedynamical behaviors for the pseudo almost periodicity.