Necessary and sufficient conditions for one-dimensional discrete-time autonomous binary cellular neural networks to be stable

Tetsuo Nishi; Norikazu Takahashi; Hajime Hara

doi:10.1093/ietfec/e89-a.12.3693

Necessary and sufficient conditions for one-dimensional discrete-time autonomous binary cellular neural networks to be stable

Tetsuo Nishi, Norikazu Takahashi, Hajime Hara

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

We give the necessary and sufficient conditions for a one-dimensional discrete-time autonomous binary cellular neural networks to be stable in the case of fixed boundary. The results are complete generalization of our previous one [16] in which the symmetrical connections were assumed. The conditions are compared with some stability conditions so far known.

Original language	English
Pages (from-to)	3693-3698
Number of pages	6
Journal	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Volume	E89-A
Issue number	12
DOIs	https://doi.org/10.1093/ietfec/e89-a.12.3693
Publication status	Published - Dec 2006
Externally published	Yes

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Keywords

1-D DBCNN
CNN
Stability
Unsymmetric connection

ASJC Scopus subject areas

Signal Processing
Computer Graphics and Computer-Aided Design
Electrical and Electronic Engineering
Applied Mathematics

Cite this

Nishi, T., Takahashi, N., & Hara, H. (2006). Necessary and sufficient conditions for one-dimensional discrete-time autonomous binary cellular neural networks to be stable. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E89-A(12), 3693-3698. https://doi.org/10.1093/ietfec/e89-a.12.3693

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10.1093/ietfec/e89-a.12.3693