M. Gilli, STABILITY OF CELLULAR NEURAL NETWORKS AND DELAYED CELLULAR NEURAL NETWORKS WITH NONPOSITIVE TEMPLATES AND NONMONOTONIC OUTPUT FUNCTIONS, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 41(8), 1994, pp. 518-528
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 cl
asses of nonpositive templates, describing CNN's and DCNN's, are shown
to be stable and some conditions are found ensuring the complete stab
ility of dominant template DCNN's and CNN's with nonmonotonic output f
unctions.