Journal of Applied Mathematics

Piecewise Convex Technique for the Stability Analysis of Delayed Neural Network

Zixin Liu, Jian Yu, Daoyun Xu, and Dingtao Peng

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 710741, 10 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394808070

Digital Object Identifier
doi:10.1155/2013/710741

Mathematical Reviews number (MathSciNet)
MR3082128

Zentralblatt MATH identifier
1271.92006

Citation

Liu, Zixin; Yu, Jian; Xu, Daoyun; Peng, Dingtao. Piecewise Convex Technique for the Stability Analysis of Delayed Neural Network. J. Appl. Math. 2013 (2013), Article ID 710741, 10 pages. doi:10.1155/2013/710741. https://projecteuclid.org/euclid.jam/1394808070


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