Asymptotic stability in a neutral delay differential system with variable delays

Wu-Hua Chen; Xiaomei Lu; Zhi-Hong Guan; Wei Xing Zheng

doi:10.1137/S0036141004441167

Asymptotic stability in a neutral delay differential system with variable delays

Wu-Hua Chen
, Xiaomei Lu
, Zhi-Hong Guan
, Wei Xing Zheng

School of Computer, Data & Mathematical Sciences

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

By applying M-matrix theory and some new analysis techniques, we have succeeded in establishing the asymptotic stability of the zero solution of the "pure-delay type" neutral system with variable delays. The criteria obtained in this paper extend and improve the existing ones.

Original language	English
Pages (from-to)	1522-1534
Number of pages	13
Journal	SIAM Journal on Mathematical Analysis
Volume	37
Issue number	5
DOIs	https://doi.org/10.1137/S0036141004441167
Publication status	Published - Jan 2006

Keywords

M-matrix
asymptotic stability
neutral delay system
pure-delay type
Asymptotic stability
Neutral delay system
Pure-delay type

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10.1137/S0036141004441167

Cite this

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title = "Asymptotic stability in a neutral delay differential system with variable delays",

abstract = "By applying M-matrix theory and some new analysis techniques, we have succeeded in establishing the asymptotic stability of the zero solution of the {"}pure-delay type{"} neutral system with variable delays. The criteria obtained in this paper extend and improve the existing ones.",

keywords = "M-matrix, asymptotic stability, neutral delay system, pure-delay type, Asymptotic stability, Neutral delay system, Pure-delay type",

author = "Wu-Hua Chen and Xiaomei Lu and Zhi-Hong Guan and Zheng, \{Wei Xing\}",

year = "2006",

month = jan,

doi = "10.1137/S0036141004441167",

language = "English",

volume = "37",

pages = "1522--1534",

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issn = "0036-1410",

publisher = "Society for Industrial and Applied Mathematics",

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TY - JOUR

T1 - Asymptotic stability in a neutral delay differential system with variable delays

AU - Chen, Wu-Hua

AU - Lu, Xiaomei

AU - Guan, Zhi-Hong

AU - Zheng, Wei Xing

PY - 2006/1

Y1 - 2006/1

N2 - By applying M-matrix theory and some new analysis techniques, we have succeeded in establishing the asymptotic stability of the zero solution of the "pure-delay type" neutral system with variable delays. The criteria obtained in this paper extend and improve the existing ones.

AB - By applying M-matrix theory and some new analysis techniques, we have succeeded in establishing the asymptotic stability of the zero solution of the "pure-delay type" neutral system with variable delays. The criteria obtained in this paper extend and improve the existing ones.

KW - M-matrix

KW - asymptotic stability

KW - neutral delay system

KW - pure-delay type

KW - Asymptotic stability

KW - Neutral delay system

KW - Pure-delay type

UR - http://handle.uws.edu.au:8081/1959.7/34024

UR - https://www.scopus.com/pages/publications/33748860143

U2 - 10.1137/S0036141004441167

DO - 10.1137/S0036141004441167

M3 - Article

SN - 0036-1410

VL - 37

SP - 1522

EP - 1534

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 5

ER -

Asymptotic stability in a neutral delay differential system with variable delays

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Keywords

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