Controllability of time-varying cellular neural networks
| dc.contributor.author | Aziz, Wadie (  0000-0002-6725-5871 ) | |
| 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.identifier.citation | Aziz, W., & Lara, T. (2005). Controllability of time-varying cellular neural networks. Electronic Journal of Differential Equations, 2005(135), pp. 1-10. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/13860 | |
| 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.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | en_US |
| 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 | en_US |
| dc.subject | Circulant matrix | en_US |
| dc.subject | Sun product | en_US |
| dc.title | Controllability of time-varying cellular neural networks | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
