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 | |
| Publication status | Published - Dec 2006 |
| Externally published | Yes |
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Keywords
- 1-D DBCNN
- CNN
- Stability
- Unsymmetric connection
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Hardware and Architecture
- Information Systems
Cite this
Necessary and sufficient conditions for one-dimensional discrete-time autonomous binary cellular neural networks to be stable. / Nishi, Tetsuo; Takahashi, Norikazu; Hara, Hajime.
In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E89-A, No. 12, 12.2006, p. 3693-3698.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Necessary and sufficient conditions for one-dimensional discrete-time autonomous binary cellular neural networks to be stable
AU - Nishi, Tetsuo
AU - Takahashi, Norikazu
AU - Hara, Hajime
PY - 2006/12
Y1 - 2006/12
N2 - 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.
AB - 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.
KW - 1-D DBCNN
KW - CNN
KW - Stability
KW - Unsymmetric connection
UR - http://www.scopus.com/inward/record.url?scp=33845581230&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33845581230&partnerID=8YFLogxK
U2 - 10.1093/ietfec/e89-a.12.3693
DO - 10.1093/ietfec/e89-a.12.3693
M3 - Article
AN - SCOPUS:33845581230
VL - E89-A
SP - 3693
EP - 3698
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 - 12
ER -