A new sufficient condition for nonsymmetric CNN's to have a stable equilibrium point

Norikazu Takahashi; Leon O. Chua

doi:10.1109/81.641777

A new sufficient condition for nonsymmetric CNN's to have a stable equilibrium point

Norikazu Takahashi, Leon O. Chua

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

This letter gives a new sufficient condition for nonsymmetric CNN's to have at least one stable equilibrium point. Existence of a stable equilibrium point is important for nonsymmetric CNN's 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 CNN's with a 3 × 3 neighborhood.

Original language	English
Pages (from-to)	1092-1095
Number of pages	4
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	44
Issue number	11
DOIs	https://doi.org/10.1109/81.641777
Publication status	Published - 1997
Externally published	Yes

Keywords

Cellular neural networks
Complete stability
Stable equilibrium points

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/81.641777

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abstract = "This letter gives a new sufficient condition for nonsymmetric CNN's to have at least one stable equilibrium point. Existence of a stable equilibrium point is important for nonsymmetric CNN's 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 CNN's with a 3 × 3 neighborhood.",

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author = "Norikazu Takahashi and Chua, {Leon O.}",

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AU - Takahashi, Norikazu

AU - Chua, Leon O.

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PY - 1997

Y1 - 1997

N2 - This letter gives a new sufficient condition for nonsymmetric CNN's to have at least one stable equilibrium point. Existence of a stable equilibrium point is important for nonsymmetric CNN's 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 CNN's with a 3 × 3 neighborhood.

AB - This letter gives a new sufficient condition for nonsymmetric CNN's to have at least one stable equilibrium point. Existence of a stable equilibrium point is important for nonsymmetric CNN's 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 CNN's with a 3 × 3 neighborhood.

KW - Cellular neural networks

KW - Complete stability

KW - Stable equilibrium points

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A new sufficient condition for nonsymmetric CNN's to have a stable equilibrium point

Abstract

Keywords

ASJC Scopus subject areas

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