Stability analysis for Cohen-Grossberg neural networks with time-varying delays

Wu-Hua Chen; Wei Xing Zheng

Stability analysis for Cohen-Grossberg neural networks with time-varying delays

Wu-Hua Chen
, Wei Xing Zheng

School of Computer, Data & Mathematical Sciences

Guangxi University

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

7 Citations (Scopus)

Abstract

The problems of existence, uniqueness and global exponential stability of the equilibrium of Cohen-Grossberg neural networks with time-varying delays are investigated in this paper. A new approach is developed to establish delayindependent/dependent sufficient conditions for global exponential stability. The results obtained can be easily checked in practice and do not require the delays to be constant or differentiable. In particular, our delay-dependent exponential stability conditions give explicitly the allowable upper bound of the delays that guarantees stability of Cohen-Grossberg neural networks, and are applicable to the case when the non-delayed terms cannot dominate the delayed terms. The effectiveness of the new results are further illustrated by numerical examples in comparison with the existing results.

Original language	English
Title of host publication	ISCAS 2006
Subtitle of host publication	2006 IEEE International Symposium on Circuits and Systems, Proceedings
Pages	3630-3633
Number of pages	4
Publication status	Published - 2006
Event	ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems - Kos, Greece Duration: 21 May 2006 → 24 May 2006

Publication series

Name	Proceedings - IEEE International Symposium on Circuits and Systems
ISSN (Print)	0271-4310

Conference

Conference	ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems
Country/Territory	Greece
City	Kos
Period	21/05/06 → 24/05/06

Cite this

@inproceedings{4b8007b3877d4cc3b13e42acc9bfc688,

title = "Stability analysis for Cohen-Grossberg neural networks with time-varying delays",

abstract = "The problems of existence, uniqueness and global exponential stability of the equilibrium of Cohen-Grossberg neural networks with time-varying delays are investigated in this paper. A new approach is developed to establish delayindependent/dependent sufficient conditions for global exponential stability. The results obtained can be easily checked in practice and do not require the delays to be constant or differentiable. In particular, our delay-dependent exponential stability conditions give explicitly the allowable upper bound of the delays that guarantees stability of Cohen-Grossberg neural networks, and are applicable to the case when the non-delayed terms cannot dominate the delayed terms. The effectiveness of the new results are further illustrated by numerical examples in comparison with the existing results.",

author = "Wu-Hua Chen and Zheng, \{Wei Xing\}",

year = "2006",

language = "English",

isbn = "0780393902",

series = "Proceedings - IEEE International Symposium on Circuits and Systems",

pages = "3630--3633",

booktitle = "ISCAS 2006",

note = "ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems ; Conference date: 21-05-2006 Through 24-05-2006",

}

Chen, W-H & Zheng, WX 2006, Stability analysis for Cohen-Grossberg neural networks with time-varying delays. in ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems, Proceedings., 1693413, Proceedings - IEEE International Symposium on Circuits and Systems, pp. 3630-3633, ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems, Kos, Greece, 21/05/06.

Stability analysis for Cohen-Grossberg neural networks with time-varying delays. / Chen, Wu-Hua; Zheng, Wei Xing.
ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems, Proceedings. 2006. p. 3630-3633 1693413 (Proceedings - IEEE International Symposium on Circuits and Systems).

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

TY - GEN

T1 - Stability analysis for Cohen-Grossberg neural networks with time-varying delays

AU - Chen, Wu-Hua

AU - Zheng, Wei Xing

PY - 2006

Y1 - 2006

N2 - The problems of existence, uniqueness and global exponential stability of the equilibrium of Cohen-Grossberg neural networks with time-varying delays are investigated in this paper. A new approach is developed to establish delayindependent/dependent sufficient conditions for global exponential stability. The results obtained can be easily checked in practice and do not require the delays to be constant or differentiable. In particular, our delay-dependent exponential stability conditions give explicitly the allowable upper bound of the delays that guarantees stability of Cohen-Grossberg neural networks, and are applicable to the case when the non-delayed terms cannot dominate the delayed terms. The effectiveness of the new results are further illustrated by numerical examples in comparison with the existing results.

AB - The problems of existence, uniqueness and global exponential stability of the equilibrium of Cohen-Grossberg neural networks with time-varying delays are investigated in this paper. A new approach is developed to establish delayindependent/dependent sufficient conditions for global exponential stability. The results obtained can be easily checked in practice and do not require the delays to be constant or differentiable. In particular, our delay-dependent exponential stability conditions give explicitly the allowable upper bound of the delays that guarantees stability of Cohen-Grossberg neural networks, and are applicable to the case when the non-delayed terms cannot dominate the delayed terms. The effectiveness of the new results are further illustrated by numerical examples in comparison with the existing results.

UR - https://www.scopus.com/pages/publications/34547258769

M3 - Conference Paper

AN - SCOPUS:34547258769

SN - 0780393902

SN - 9780780393905

T3 - Proceedings - IEEE International Symposium on Circuits and Systems

SP - 3630

EP - 3633

BT - ISCAS 2006

T2 - ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems

Y2 - 21 May 2006 through 24 May 2006

ER -

Stability analysis for Cohen-Grossberg neural networks with time-varying delays

Abstract

Publication series

Conference

Other files and links

Fingerprint

Cite this