This 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 CN-Ns 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 (C) 2001 John Wiley & Sons, Ltd.

Forti, M. (2001). A study on WTA cellular neural networks. INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 29(6), 537-552 [10.1002/cta.170].

A study on WTA cellular neural networks

FORTI, MAURO
2001-01-01

Abstract

This 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 CN-Ns 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 (C) 2001 John Wiley & Sons, Ltd.
2001
Forti, M. (2001). A study on WTA cellular neural networks. INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 29(6), 537-552 [10.1002/cta.170].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/9086
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