A new sufficient condition for nonsymmetric CNNs to have a stable equilibrium point

This letter gives a new sufficient condition for nonsymmetric CNNs to have at least one stable equilibrium point. Existence of a stable equilibrium point is important for nonsymmetric CNNs because it is a necessary condition for complete stability. It is shown that our sufficient condition is a generalization of a previous result concerning the existence of a stable equilibrium point, and that it can easily be applied to space invariant CNNs with a 3/spl times/3 neighborhood.