A study on global robust stability of delayed full-range cellular neural networks

Abstract

The paper considers a class of full-range (FR) cellular neural networks (CNNs) characterized by a finite constant delay in the neuron interconnections and intervalized interconnection parameters. A theorem is proved which ensures global robust stability (GRS), i.e., global stability of the equilibrium point for any FR-CNN whose parameters belong to given intervals. The theorem extends to FR-CNNs a result on GRS for standard (S) CNNs obtained in a recent paper by Shen and Zhang. The significance of the result in this paper is discussed in relation to the results in a paper by Corinto and Gilli, which addresses the equivalence of the dynamical behavior of FR-CNNs and S-CNNs, when they are defined by the same set of parameters.