Published May 30, 2009 | Version v1
Journal article

LMI conditions for stability of stochastic recurrent neural networks with distributed delays

  • 1. Department of Mathematics, Gandhigram Rural University, Gandhigram 624 302, Tamil Nadu (India)

Description

In this paper, the global asymptotic stability of stochastic recurrent neural networks with discrete and distributed delays is analyzed by utilizing the Lyapunov-Krasovskii functional and combining with the linear matrix inequality (LMI) approach. A new sufficient condition ensuring the global asymptotic stability for delayed recurrent neural networks is obtained in the stochastic sense using the powerful MATLAB LMI Toolbox. In addition, an example is also provided to illustrate the applicability of the result.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2007.09.052

Additional details

Identifiers

DOI
10.1016/j.chaos.2007.09.052;
PII
S0960-0779(07)00800-4;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
40
Journal Issue
4
Journal Page Range
p. 1688-1696
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41008972
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ASYMPTOTIC SOLUTIONS; LYAPUNOV METHOD; MATRICES; NEURAL NETWORKS; STABILITY; STOCHASTIC PROCESSES
Descriptors DEC
CALCULATION METHODS; MATHEMATICAL SOLUTIONS

Optional Information

Copyright
Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.