Controllability of time-varying cellular neural networks

Date

2005-11-30

Authors

Aziz, Wadie
Lara, Teodoro

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

In this work, we consider the model of Cellular Neural Network (CNN) introduced by Chua and Yang in 1988, but with the cloning templates ω-periodic in time. By imposing periodic boundary conditions the matrices involved in the system become circulant and ω-periodic. We show some results on the controllability of the linear model using a Theorem by Brunovsky for the case of linear and ω-periodic system. Also we use this approach in image detection, specifically foreground, background and contours of figures in different scales of grey.

Description

Keywords

Cellular neural network, Circulant matrix, Sun product

Citation

Aziz, W., & Lara, T. (2005). Controllability of time-varying cellular neural networks. <i>Electronic Journal of Differential Equations, 2005</i>(135), pp. 1-10.

Rights

Attribution 4.0 International

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