Study On Properties Of Solutions For Cellular Neural Networks With Impulses

The cellular neural network (CNNs) and the cellular neural network with impulses (ICNNs) gets more and more attention, However, the results about the dynamic properties for cellular neural network with impulses are still relatively similar. So we mainly study the dynamic properties for following cellular neural networks.In this paper, on one hand, we study the existence and uniqueness of periodic solutions and solutions of the above equations and establish two new criterion-s (see Theorem2.3.1, Theorem3.3.1), on the other hand, we study exponential stability of solutions of the above equations,establish a new criterion (see theo-rem4.3.1), finally, we give two examples to apply our results.