DocumentCode
1402593
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
Volume
44
Issue
11
fYear
1997
fDate
11/1/1997 12:00:00 AM
Firstpage
1092
Lastpage
1095
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;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.641777
Filename
641777
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