Some stability properties of CNN´s with delay

In this study of stability properties, reciprocal and nonreciprocal cellular neural networks with delay (DCNNs) are considered. It is shown that a symmetric DCNN can become unstable if the delay is suitably chosen; moreover, a sufficient condition to assure the complete stability is presented. Such a condition establishes a relation between the delay time and the parameters of the network. A sufficient condition for the complete stability for nonreciprocal networks is also given. Such a condition is independent of the delay time and depends only on the cloning template and the delay cloning template