Piecewise Convex Technique for the Stability Analysis of Delayed Neural Network
Joint Authors
Xu, Daoyun
Peng, Dingtao
Yu, Jian
Liu, Zixin
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-25
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
On the basis of the fact that the neuron activation function is sector bounded, this paper transforms the researched original delayed neural network into a linear uncertain system.
Combined with delay partitioning technique, by using the convex combination between decomposed time delay and positive matrix, this paper constructs a novel Lyapunov function to derive new less conservative stability criteria.
The benefit of the method used in this paper is that it can utilize more information on slope of the activations and time delays.
To illustrate the effectiveness of the new established stable criteria, one numerical example and an application example are proposed to compare with some recent results.
American Psychological Association (APA)
Liu, Zixin& Yu, Jian& Xu, Daoyun& Peng, Dingtao. 2013. Piecewise Convex Technique for the Stability Analysis of Delayed Neural Network. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-492463
Modern Language Association (MLA)
Liu, Zixin…[et al.]. Piecewise Convex Technique for the Stability Analysis of Delayed Neural Network. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-492463
American Medical Association (AMA)
Liu, Zixin& Yu, Jian& Xu, Daoyun& Peng, Dingtao. Piecewise Convex Technique for the Stability Analysis of Delayed Neural Network. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-492463
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492463