On the stability analysis of cellular neural networks

Author

Savaci, F.A. ; Vandewalle, J.

Author_Institution

Dept. of Electr. and Electron. Eng., Istanbul Tech. Univ., Turkey

Volume

Issue

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

213

Lastpage

215

Abstract

Introduces the eigenvalue formulas for cellular neural network (CNNs) with positive-cell linking and opposite-sign-type templates by exploiting the Toeplitz-tridiagonal structure of the state matrix and then gives the convergency conditions for such CNNs. The existence conditions of equilibrium points for a more general type of piecewise-linear neural network have also been investigated

Keywords

eigenvalues and eigenfunctions; neural nets; stability; Toeplitz-tridiagonal structure; cellular neural networks; convergency conditions; eigenvalue formulas; equilibrium points; opposite-sign-type templates; piecewise-linear neural network; positive-cell linking; stability analysis; state matrix; Cellular neural networks; Eigenvalues and eigenfunctions; Joining processes; LAN interconnection; Neural networks; Piecewise linear techniques; Stability analysis; Sufficient conditions; Symmetric matrices;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.222803

Filename

222803

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=921486