Perturbations of CNNs

Author

Joy, Mark P. ; Tavsanoglu, V.

Author_Institution

Centre for Inf. Eng., South Bank Univ., London, UK

Volume

6

fYear

1994

fDate

30 May-2 Jun 1994

Firstpage

221

Abstract

If a CNN template, through the application of one of the sign-changing transformations T defined by Chua and Wu (see Int. Journal of Circuit Theory and Applications, vol. 20, p.497-517, 1992), is positive and cell-linking and has isolated equilibria then the convergence of the original CNN follows; this is theorem 4 of the aforementioned paper. The main results of this paper use the condition of isolated equilibria. We show that it is possible to drop this requirement by demonstrating that having isolated equilibria is a generic condition on templates. Thus all templates can be perturbed slightly to a `close´ template, which has isolated equilibria. Perturbing templates allows us to consider the useful idea of making new sufficiently weak, cell connections in convergent CNN, so that the perturbed CNN is also convergent

Keywords

cellular neural nets; convergence; matrix algebra; CNN template; cell connections; cellular neural networks; convergence; convergent CNN; isolated equilibria; perturbations; perturbed CNN; sign-changing transformations; Cellular neural networks; Cloning; Convergence; Equations; Feedback; Neural networks;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1994. ISCAS '94., 1994 IEEE International Symposium on

Conference_Location

London

Print_ISBN

0-7803-1915-X

Type

conf

DOI

10.1109/ISCAS.1994.409567

Filename

409567