DELAY-DEPENDENT STABILITY OF LINEAR MULTISTEP METHODS FOR NEUTRAL SYSTEMS WITH DISTRIBUTED DELAYS

被引：1

作者：

Cong, Yuhao ^{[1
]}

Wu, Shouyan ^{[2
,3
]}

机构：

[1] Shanghai Customs Coll, Shanghai 201204, Peoples R China

[2] Zhejiang Int Studies Univ, Dept Math, Hangzhou 310023, Peoples R China

[3] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2022年 / 40卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Neutral systems with distributed delays; Linear multistep methods; Delay-dependent stability; Argument principle; RUNGE-KUTTA METHODS; INTEGRODIFFERENTIAL EQUATIONS; DIFFERENTIAL-SYSTEMS; ASYMPTOTIC STABILITY; DISCRETE SOLUTIONS; NUMERICAL-METHODS; CRITERIA;

D O I：

10.4208/jcm.2011-m2018-0241

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the asymptotic stability of linear multistep (LM) methods for neutral systems with distributed delays. In particular, several sufficient conditions for delay-dependent stability of numerical solutions are obtained based on the argument principle. Compound quadrature formulae are used to compute the integrals. An algorithm is proposed to examine the delay-dependent stability of numerical solutions. Several numerical examples are performed to verify the theoretical results.

引用

页码：486 / 500

页数：15

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