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
收藏
页码：486 / 500
页数：15
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