Existence and stability of periodic solution of high-order discrete-time Cohen-Grossberg neural networks with varying delays

摘要

This paper studies the existence and stability of periodic solution of the high-order discrete-time Cohen-Grossberg neural networks with varying delays. The properties of M-matrix and the contracting mapping principle are used to obtain a sufficient condition that guarantees the uniqueness and global exponential stability of the periodic solution. In addition, a numerical example is given that demonstrates the effectiveness of the proposed theoretical results.