2003 Colloquium on Differential Equations and Applications, Maracaibo, Venezuela.
Electron. J. Diff. Eqns., Conference 13, 2005, pp. 1-11.

Controllability, applications, and numerical simulations of 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. We impose the Von-Neumann boundary conditions and study the controllability of corresponding system, then these results are used in image detection by means of numerical simulations.

Published May 30, 2005.
Math Subject Classifications: 37N25, 34K20, 68T05.
Key Words: Cellular Neural Networks; circulant matrix; tridiagonal matrix; Controllability.

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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: tlara@ula.ve   teodorolara@cantv.net

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