Abstract
This paper gives a new sufficient condition for cellular neural networks with delay (DCNNs) to be completely stable. The result is a generalization of two existing stability conditions for DCNNs, and also contains a complete stability condition for standard CNNs as a special case. Our new sufficient condition does not require the uniqueness of equilibrium point of DCNNs and is independent of the length of delay.
| Original language | English |
|---|---|
| Pages (from-to) | 2044-2051 |
| Number of pages | 8 |
| Journal | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |
| Volume | E85-A |
| Issue number | 9 |
| Publication status | Published - Sep 2002 |
| Externally published | Yes |
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Keywords
- Cellular neural networks
- Complete stability
- Delay
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Hardware and Architecture
- Information Systems
Cite this
A generalization of some complete stability conditions for cellular neural networks with delay. / Takahashi, Norikazu; Nishi, Tetsuo.
In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E85-A, No. 9, 09.2002, p. 2044-2051.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A generalization of some complete stability conditions for cellular neural networks with delay
AU - Takahashi, Norikazu
AU - Nishi, Tetsuo
PY - 2002/9
Y1 - 2002/9
N2 - This paper gives a new sufficient condition for cellular neural networks with delay (DCNNs) to be completely stable. The result is a generalization of two existing stability conditions for DCNNs, and also contains a complete stability condition for standard CNNs as a special case. Our new sufficient condition does not require the uniqueness of equilibrium point of DCNNs and is independent of the length of delay.
AB - This paper gives a new sufficient condition for cellular neural networks with delay (DCNNs) to be completely stable. The result is a generalization of two existing stability conditions for DCNNs, and also contains a complete stability condition for standard CNNs as a special case. Our new sufficient condition does not require the uniqueness of equilibrium point of DCNNs and is independent of the length of delay.
KW - Cellular neural networks
KW - Complete stability
KW - Delay
UR - http://www.scopus.com/inward/record.url?scp=0036740526&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036740526&partnerID=8YFLogxK
M3 - Article
VL - E85-A
SP - 2044
EP - 2051
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 - 9
ER -