Asymptotic Stability and Exponential Stability of Impulsive Delayed Hopfield Neural Networks
Joint Authors
Li, Xiaodi
Wang, Dequan
Chen, Jing
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-25
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A criterion for the uniform asymptotic stability of the equilibrium point of impulsive delayed Hopfield neural networks is presented by using Lyapunov functions and linear matrix inequality approach.
The criterion is a less restrictive version of a recent result.
By means of constructing the extended impulsive Halanay inequality, we also analyze the exponential stability of impulsive delayed Hopfield neural networks.
Some new sufficient conditions ensuring exponential stability of the equilibrium point of impulsive delayed Hopfield neural networks are obtained.
An example showing the effectiveness of the present criterion is given.
American Psychological Association (APA)
Chen, Jing& Li, Xiaodi& Wang, Dequan. 2013. Asymptotic Stability and Exponential Stability of Impulsive Delayed Hopfield Neural Networks. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-487252
Modern Language Association (MLA)
Chen, Jing…[et al.]. Asymptotic Stability and Exponential Stability of Impulsive Delayed Hopfield Neural Networks. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-487252
American Medical Association (AMA)
Chen, Jing& Li, Xiaodi& Wang, Dequan. Asymptotic Stability and Exponential Stability of Impulsive Delayed Hopfield Neural Networks. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-487252
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487252