On the absolute stability of delayed cellular neural networks

Abstract

This paper presents new (sufficient) conditions for the absolute stability of delayed cellular neural networks (CNNs) which improve on previously known ones. Importantly, we are able to give both necessary and sufficient conditions for the absolute stability of cooperative, delayed CNNs. We discuss these conditions with reference to the feedback and delay matrices, derive specific bounds for these parameters, and give some examples of these new results in comparison with known conditions.