Necessary and sufficient conditions for one-dimensional discrete-time binary cellular neural networks with unspecified fixed boundaries to be stable

H. Sato, T. Nishi, Norikazu Takahashi

Research output: Contribution to journalArticle

3 Citations (Scopus)


The behavior of one-dimensional discrete-time binary cellular neural networks (1-D DBCNN) with both the A- and B-templates was discussed. Necessary and sufficient conditions were given to make 1-D DBCNN stable for unspecified fixed boundaries. The stability conditions for the general case where α, β, γ do not vanish were shown, where α, β, γ represent A- and B-templates.

Original languageEnglish
Pages (from-to)2036-2043
Number of pages8
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issue number9
Publication statusPublished - Sep 2002
Externally publishedYes



  • Fixed boundary
  • One-dimensional discrete binary cellular neural networks
  • Stability condition

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Hardware and Architecture
  • Information Systems

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