On the Dynamics in High-Order Cellular Neural Networks with Time-Varying Delays

摘要

In this paper, the uniform boundedness and exponential stability analysis problems are considered for a class of high-order neural networks with time-varying delays. Without assuming the boundedness on the activation functions, some sufficient conditions are derived for checking the existence, uniqueness and exponential stability of equilibrium point and uniform boundedness for this system by using Brouwer’s fixed point and employing analysis technique. It is believed that these results are significant and useful for the design and applications of HCNNs. Finally, two examples with numerical simulation are given to show the effectiveness of the proposed method and results.