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Medientyp: E-Artikel Titel: A study on WTA cellular neural networks Beteiligte: Forti, Mauro Erschienen: Wiley, 2001 Erschienen in: International Journal of Circuit Theory and Applications, 29 (2001) 6, Seite 537-552 Sprache: Englisch DOI: 10.1002/cta.170 ISSN: 0098-9886; 1097-007X Schlagwörter: Applied Mathematics ; Electrical and Electronic Engineering ; Computer Science Applications ; Electronic, Optical and Magnetic Materials Entstehung: Anmerkungen: Beschreibung: AbstractThis paper addresses a number of basic issues concerning the dynamics of a class of winner‐take‐all cellular neural networks (WTA CNNs) proposed by Seiler and Nossek. The main result is an analytical estimate for the settling time, which shows from a theoretical point of view that such CNNs are well suited for on‐line applications requiring a large number of units, fast processing speed and a relatively high resolution. Other results are the determination of the largest parameter set that guarantee a correct WTA functionality for all initial conditions and the solution of a conjecture made by Seiler and Nossek. These results are proved by means of a new Lyapunov function to analyse the global dynamical behaviour of the WTA CNNs. Copyright © 2001 John Wiley & Sons, Ltd.