DELAY-DEPENDENT STABILITY OF RUNGE-KUTTA METHODS FOR LINEAR NEUTRAL SYSTEMS WITH MULTIPLE DELAYS

被引：8
|
作者：
Hu, Guang-Da [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
KYBERNETIKA | 2018年 / 54卷 / 04期
基金：
中国国家自然科学基金;
关键词：
neutral differential systems with multiple delays; delay-dependent stability; Runge-Kutta method; Lagrange interpolation; argument principle; DIFFERENTIAL-EQUATIONS; DISTRIBUTED DELAYS; CRITERIA;
D O I：
10.14736/kyb-2018-4-0718
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we are concerned with stability of numerical methods for linear neutral systems with multiple delays. Delay-dependent stability of Runge-Kutta methods is investigated, i.e., for delay-dependently stable systems, we ask what conditions must be imposed on the Runge-Kutta methods in order that the numerical solutions display stability property analogous to that displayed by the exact solutions. By means of Lagrange interpolation, Runge-Kutta methods can be applied to neutral differential systems with multiple delays. Based on the argument principle, sufficient conditions for delay-dependent stability of Runge-Kutta methods combined with Lagrange interpolation are presented. Numerical examples are given to illustrate the main results.
引用
收藏
页码：718 / 735
页数：18
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