Necessary and sufficient conditions for a 1-D DBCNN with an input to be stable in terms of connection coefficients

Tetsuo Nishi, Hajime Hara, Norikazu Takahashi

Research output: Contribution to journalArticle

Abstract

We give necessary and sufficient conditions for a 1-D DBCNN (1-dimensional discrete-time binary cellular neural network) with an external input to be stable in terms of connection coefficients. The results are generalization of our previous one [18], [19] in which the input was assumed to be zero.

Original languageEnglish
Pages (from-to)2825-2832
Number of pages8
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE89-A
Issue number10
DOIs
Publication statusPublished - Oct 2006
Externally publishedYes

Fingerprint

Connection Coefficients
Cellular neural networks
Cellular Networks
Discrete-time
Neural Networks
Binary
Necessary Conditions
Sufficient Conditions
Zero
Generalization

Keywords

  • 1-D DBCNN
  • CNN
  • Nonzero input
  • Stability

ASJC Scopus subject areas

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

Cite this

@article{43cabf70cad74b0a86db11fbd4873f62,
title = "Necessary and sufficient conditions for a 1-D DBCNN with an input to be stable in terms of connection coefficients",
abstract = "We give necessary and sufficient conditions for a 1-D DBCNN (1-dimensional discrete-time binary cellular neural network) with an external input to be stable in terms of connection coefficients. The results are generalization of our previous one [18], [19] in which the input was assumed to be zero.",
keywords = "1-D DBCNN, CNN, Nonzero input, Stability",
author = "Tetsuo Nishi and Hajime Hara and Norikazu Takahashi",
year = "2006",
month = "10",
doi = "10.1093/ietfec/e89-a.10.2825",
language = "English",
volume = "E89-A",
pages = "2825--2832",
journal = "IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences",
issn = "0916-8508",
publisher = "Maruzen Co., Ltd/Maruzen Kabushikikaisha",
number = "10",

}

TY - JOUR

T1 - Necessary and sufficient conditions for a 1-D DBCNN with an input to be stable in terms of connection coefficients

AU - Nishi, Tetsuo

AU - Hara, Hajime

AU - Takahashi, Norikazu

PY - 2006/10

Y1 - 2006/10

N2 - We give necessary and sufficient conditions for a 1-D DBCNN (1-dimensional discrete-time binary cellular neural network) with an external input to be stable in terms of connection coefficients. The results are generalization of our previous one [18], [19] in which the input was assumed to be zero.

AB - We give necessary and sufficient conditions for a 1-D DBCNN (1-dimensional discrete-time binary cellular neural network) with an external input to be stable in terms of connection coefficients. The results are generalization of our previous one [18], [19] in which the input was assumed to be zero.

KW - 1-D DBCNN

KW - CNN

KW - Nonzero input

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=33750037651&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33750037651&partnerID=8YFLogxK

U2 - 10.1093/ietfec/e89-a.10.2825

DO - 10.1093/ietfec/e89-a.10.2825

M3 - Article

AN - SCOPUS:33750037651

VL - E89-A

SP - 2825

EP - 2832

JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

SN - 0916-8508

IS - 10

ER -