Title :
A new sufficient condition for nonsymmetric CNNs to have a stable equilibrium point
Author :
Takahashi, Norikazu ; Chua, Leon O.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
fDate :
11/1/1997 12:00:00 AM
Abstract :
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 3×3 neighborhood
Keywords :
absolute stability; cellular neural nets; matrix algebra; stability criteria; 3×3 neighborhood; complete stability; feedback template; nonsymmetric CNNs; space invariant CNN; stable equilibrium point; state equation; sufficient condition; Cellular neural networks; Chaos; Circuit stability; Circuit theory; Control systems; Laboratories; Linear systems; Nonlinear circuits; Nonlinear control systems; Sufficient conditions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
