ON THE COMPLETE STABILITY OF NONSYMMETRIC CELLULAR NEURAL NETWORKS

Authors
TAKAHASHI N CHUA LO
Citation
N. Takahashi et Lo. Chua, ON THE COMPLETE STABILITY OF NONSYMMETRIC CELLULAR NEURAL NETWORKS, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 45(7), 1998, pp. 754-758
Citations number
15
Categorie Soggetti
Engineering, Eletrical & Electronic
Journal title
IEEE transactions on circuits and systems. 1, Fundamental theory andapplications → ACNP
ISSN journal
10577122
Volume
45
Issue
7
Year of publication
1998
Pages
754 - 758
Database
ISI
SICI code
1057-7122(1998)45:7<754:OTCSON>2.0.ZU;2-4
Abstract
This paper gives a new sufficient condition for complete stability of a nonsymmetric cellular neural network (CNN). The convergence theorem of the Gauss-Seidel method, which is an iterative technique for solvin g a linear algebraic equation, plays an important role in our proof. I t is also shown that the existence of a stable equilibrium point does not imply complete stability of a nonsymmetric CNN.