Existence of Periodic Solutions for the Discrete-Time Counterpart of a Neutral-Type Cellular Neural Network with Time-Varying Delays and Impulses

摘要

From the mathematical point of view, a cellular neural network (CNN) can be characterized by an array ofidentical nonlinear dynamical systems called cells (neurons) that are locally interconnected. Using thesemi-discretization method, in the present paper a discrete-time counter part of a neutral-type CNN with time-varying delays and impulses is constructed. Sufficient conditions for the existence of periodic solutions of the discrete-time system thus obtained arefoundby using thecontinuation theorem of coincidencedegreetheory.