Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/34007
Title: A new stability criterion for discrete-time neural networks : nonlinear spectral radius
Authors: Mak, KL
Peng, JG
Xu, ZB
Yiu, KFC 
Issue Date: 2007
Publisher: Pergamon Press
Source: Chaos, solitons and fractals, 2007, v. 31, no. 2, p. 424-436 How to cite?
Journal: Chaos, solitons and fractals 
Abstract: In this paper, the exponential stability of nonlinear discrete-time systems is studied. A novel notion of nonlinear spectral radius is defined. Under the assumption of Lipschitz continuity for the activation function, the developed approach is applied to stability analysis of discrete-time neural networks. A series of sufficient conditions for global exponential stability of the neural networks are established and an estimate of the exponential decay rate is also derived for each case.
URI: http://hdl.handle.net/10397/34007
ISSN: 0960-0779
EISSN: 1873-2887
DOI: 10.1016/j.chaos.2005.09.075
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