Global exponential stability for a class of retarded functional differential equations with applications in neural networks

Xiaofeng Liao; Kwok-Wo Wong

doi:10.1016/j.jmaa.2003.12.018

Author(s)

Xiaofeng Liao
Kwok-Wo Wong

Detail(s)

Original language	English
Pages (from-to)	125-148
Journal / Publication	Journal of Mathematical Analysis and Applications
Volume	293
Issue number	1
Publication status	Published - 1 May 2004

Link(s)

DOI	DOI https://doi.org/10.1016/j.jmaa.2003.12.018 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-2342649582&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(88dc2c51-b79f-4bb7-b8ae-706ca74e06ca).html

Abstract

In this paper, the global exponential stability and asymptotic stability of retarded functional differential equations with multiple time-varying delays are studied by employing several Lyapunov functionals. A number of sufficient conditions for these types of stability are presented. Our results show that these conditions are milder and more general than previously known criteria, and can be applied to neural networks with a broad range of activation functions assuming neither differentiability nor strict monotonicity. Furthermore, the results obtained for neural networks with time-varying delays do not assume symmetry of the connection matrix. © 2004 Published by Elsevier Inc.

Research Area(s)

Global asymptotic stability, Global exponential stability, Lyapunov functionals, Retarded functional differential equations, Time-varying delays

Citation Format(s)

[ RIS ] [ BibTeX ]

Global exponential stability for a class of retarded functional differential equations with applications in neural networks. / Liao, Xiaofeng; Wong, Kwok-Wo.

In: Journal of Mathematical Analysis and Applications, Vol. 293, No. 1, 01.05.2004, p. 125-148.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal

Liao, X & Wong, K-W 2004, 'Global exponential stability for a class of retarded functional differential equations with applications in neural networks', Journal of Mathematical Analysis and Applications, vol. 293, no. 1, pp. 125-148. https://doi.org/10.1016/j.jmaa.2003.12.018

Liao, X., & Wong, K-W. (2004). Global exponential stability for a class of retarded functional differential equations with applications in neural networks. Journal of Mathematical Analysis and Applications, 293(1), 125-148. https://doi.org/10.1016/j.jmaa.2003.12.018

Liao X, Wong K-W. Global exponential stability for a class of retarded functional differential equations with applications in neural networks. Journal of Mathematical Analysis and Applications. 2004 May 1;293(1):125-148. https://doi.org/10.1016/j.jmaa.2003.12.018

Liao, Xiaofeng ; Wong, Kwok-Wo. / Global exponential stability for a class of retarded functional differential equations with applications in neural networks. In: Journal of Mathematical Analysis and Applications. 2004 ; Vol. 293, No. 1. pp. 125-148.