Controllability of time-varying cellular neural networks
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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