Controllability of time-varying cellular neural networks
dc.contributor.author | Aziz, Wadie | |
dc.contributor.author | Lara, Teodoro | |
dc.date.accessioned | 2021-07-13T17:57:50Z | |
dc.date.available | 2021-07-13T17:57:50Z | |
dc.date.issued | 2005-11-30 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 10 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Aziz, W., & Lara, T. (2005). Controllability of time-varying cellular neural networks. Electronic Journal of Differential Equations, 2005(135), pp. 1-10. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/13860 | |
dc.language.iso | en | |
dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Cellular neural network | |
dc.subject | Circulant matrix | |
dc.subject | Sun product | |
dc.title | Controllability of time-varying cellular neural networks | |
dc.type | Article |