Electron. J. Diff. Eqns., Vol. 2005(2005), No. 135, pp. 1-10.

Controllability of time-varying cellular neural networks

Wadie Aziz, Teodoro Lara

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 $\omega$-periodic in time. By imposing periodic boundary conditions the matrices involved in the system become circulant and $\omega$-periodic. We show some results on the controllability of the linear model using a Theorem by Brunovsky for the case of linear and $\omega$-periodic system. Also we use this approach in image detection, specifically foreground, background and contours of figures in different scales of grey.

Submitted April 25, 2005. Published November 30, 2005.
Math Subject Classifications: 37N25, 34K20, 68T05.
Key Words: Cellular neural network; circulant matrix; sun product.

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Wadie Aziz
Departmento de Fisica y Matematicas
Nucleo Universitario ``Rafael Rangel"
Universidad de los Andes, Trujillo, Venezuela
email: wadie@ula.ve
Teodoro Lara
Departmento de Fisica y Matematicas
Nucleo Universitario ``Rafael Rangel"
Universidad de los Andes, Trujillo, Venezuela
email: teodorolara@cantv.net

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