Geodesic
Controllability of time-varying cellular neural networks
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 37N25, 34K20, 68T05
Keywords: cellular neural network, circulant matrix, Sun product 
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     author = {Aziz, Wadie and Lara, Teodoro},
     title = {Controllability of time-varying cellular neural networks},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a0/}
}
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Aziz, Wadie; Lara, Teodoro. Controllability of time-varying cellular neural networks. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a0/