Published April 2008 | Version v1
Journal article

Global exponential robust periodicity and stability of interval neural networks with both variable and unbounded delays

  • 1. Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang 313000 (China)

Description

By constructing proper vector Lyapunov functions and nonlinear integro-differential inequalities involving both variable delays and unbounded delays, and using M-matrix theory, several sufficient conditions are obtained. These conditions ensure the global exponential robust periodicity and stability of interval neural networks with both variable and unbounded delays. The assumptions on the boundedness of the activation functions and the differentiability of time-varying delays, needed in most other papers, are no longer necessary in the present study. The obtained results in this paper improve and extend those given in the earlier literature

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2006.06.011

Additional details

Identifiers

DOI
10.1016/j.chaos.2006.06.011;
PII
S0960-0779(06)00586-8;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
36
Journal Issue
1
Journal Page Range
p. 91-97
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39048102
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
FUNCTIONS; LYAPUNOV METHOD; MATRICES; NEURAL NETWORKS; NONLINEAR PROBLEMS; PERIODICITY; STABILITY; VECTORS
Descriptors DEC
CALCULATION METHODS; TENSORS; VARIATIONS

Optional Information

Copyright
Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.