Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/31172
Title: Some sufficient conditions for global exponential stability of delayed Hopfield neural networks
Authors: Lu, H
Chung, FL 
He, Z
Keywords: Delayed Hopfield neural networks
Global exponential stability
p -Norms
Issue Date: 2004
Publisher: Pergamon-Elsevier Science Ltd
Source: Neural networks, 2004, v. 17, no. 4, p. 537-544 How to cite?
Journal: Neural Networks 
Abstract: In this paper, we have derived some sufficient conditions for existence and uniqueness of equilibrium and global exponential stability in delayed Hopfield neural networks by using a different approach from the usually used one where the existence, uniqueness of equilibrium and stability are proved in two separate steps, rather we first prove global exponential convergence to 0 of the difference between any two solutions of the original neural networks, the existence and uniqueness of equilibrium is the direct results of this procedure. We obtain the conditions by suitable construction of Lyapunov functionals and estimation of derivates of the Lyapunov functionals by the well-known Young's inequality and Holder's inequality. The proposed conditions are related to p-norms of vector or matrix, p∈[1,∞], and thus unify and generalize some results in the literature.
URI: http://hdl.handle.net/10397/31172
ISSN: 0893-6080
DOI: 10.1016/j.neunet.2004.01.004
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