On the complete stability of nonsymmetric cellular neural networks

Norikazu Takahashi, Leon O. Chua

Research output: Contribution to journalArticle

61 Citations (Scopus)

Abstract

This paper gives a new sufficient condition for complete stability of a nonsymmetric cellular neural network (CNN). The convergence theorem of the Gauss-Seidel method, which is an iterative technique for solving a linear algebraic equation, plays an important role in our proof. It is also shown that the existence of a stable equilibrium point does not imply complete stability of a nonsymmetric CNN.

Original languageEnglish
Pages (from-to)754-758
Number of pages5
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume45
Issue number7
DOIs
Publication statusPublished - 1998
Externally publishedYes

Keywords

  • Cellular neural networks
  • Complete stability
  • Gaussseidel method

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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