Geodesic
Controllability of time-varying cellular neural networks
Electronic journal of differential equations, Tome 2005 (2005)
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 
@article{EJDE_2005__2005__a200,
     author = {Aziz,  Wadie and Lara,  Teodoro},
     title = {Controllability of time-varying cellular neural networks},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1097.37057},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a200/}
}
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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__a200/