DELAY-DEPENDENT STABILITY OF LINEAR MULTI-STEP METHODS FOR LINEAR NEUTRAL SYSTEMS

被引：0
|
作者：
Hu, Guang-Da [1 ]
Shao, Lizhen [2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
来源：
KYBERNETIKA | 2020年 / 56卷 / 03期
基金：
中国国家自然科学基金;
关键词：
neutral systems with multiple delays; delay-dependent stability; linear multi-step method; Lagrange interpolation; argument principle; DIFFERENTIAL-EQUATIONS;
D O I：
10.14736/kyb-2020-3-0543
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 numerical methods for linear neutral systems with multiple delays. For delay-dependently stable neutral systems, we ask what conditions must be imposed on linear multi-step methods in order that the numerical solutions display stability property analogous to that displayed by the exact solutions. Combining with Lagrange interpolation, linear multi-step methods can be applied to the neutral systems. Utilizing the argument principle, a sufficient condition is derived for linear multi-step methods with preserving delay-dependent stability. Numerical examples are given to illustrate the main results.
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页码：543 / 558
页数：16
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