DocumentCode
1147832
Title
Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions
Author
Gilli, Marco
Author_Institution
Dipartimento di Elettronica, Politecnico di Torino, Italy
Volume
41
Issue
8
fYear
1994
fDate
8/1/1994 12:00:00 AM
Firstpage
518
Lastpage
528
Abstract
In this paper the problem of the stability of Cellular Neural Networks (CNN´s) and Delayed Cellular Neural Networks (DCNN´s) is addressed by means of Lyapunov functions (functionals in the delayed case); new classes of nonpositive templates, describing CNN´s and DCNN´s, are shown to be stable and some conditions are found ensuring the complete stability of dominant template DCNN´s and CNN´s with nonmonotonic output functions.
Keywords
Lyapunov methods; neural nets; piecewise-linear techniques; stability; Lyapunov functions; cellular neural networks; delayed cellular neural networks; nonmonotonic output functions; nonpositive templates; stability; Asymptotic stability; Cellular neural networks; Chaos; Delay; Eigenvalues and eigenfunctions; Joining processes; Lyapunov method; Neural networks; Piecewise linear techniques; Signal processing; Stability;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.311541
Filename
311541
Link To Document