Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions

In this paper the problem of the stability of Cellular Neural Networks (CNN's) and Delayed Cellular Neural Networks (DCNN's) is addressed by means of Lyapunov functions (functionals in the delayed case); new classes of nonpositive templates, describing CNN's and DCNN's, are shown to be stable and some conditions are found ensuring the complete stability of dominant template DCNN's and CNN's with nonmonotonic output functions.>