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

Norikazu Takahashi, Leon O. Chua

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22 Citations (Scopus)


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 languageEnglish
Pages (from-to)1092-1095
Number of pages4
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Issue number11
Publication statusPublished - 1997
Externally publishedYes


  • Cellular neural networks
  • Complete stability
  • Stable equilibrium points

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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