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

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2 Author(s)
Takahashi, N. ; Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA ; Chua, L.O.

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

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:44 ,  Issue: 11 )