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数值求解多延迟中立型系统的渐近稳定性(英文) 被引量：6

Asymptotic Stability of Numerical Methods for Neutral Delay Differential Equations with Multiple Delays
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摘要 给出并证明了多延迟中立型系统渐近稳定的充分条件;分析了用线性多步法求解多延迟中立型系统数值解的稳定性,基于Lagrange插值,证明了数值求解多延迟中立型系统的线性多步法渐近稳定的充分必要条件是它是A-稳定的。 The sufficient condition which analytical solution of neutral delay differential equations with multiple delays is asymptotically stable was given; the asymptotic stability of linear multistep methods for the numerical solution of neutral delay differential equations with multiple delays was discussed. By Lagrange Interpolation, it is shown that linear multistep methods are asymptotically stable if and only if it is A-stable.
作者 丛玉豪 许丽 匡蛟勋
机构地区 上海师范大学数学系
出处 《系统仿真学报》 EI CAS CSCD 北大核心 2006年第12期3387-3389,3406,共4页 Journal of System Simulation
基金 E-Institutes of Shanghai Municipal Education Commission (E03004) Shanghai Municipal Education Commission (04DB07) Shanghai Science and Technology Committee (03QA14036) NSFC (10671130) and the Special Funds for Major Specialties of Shanghai Education Committee
关键词 线性多步法 中立型延迟系统 渐近稳定性 A-稳定性 linear multistep method neutral delay differential equations asymptotic stability A-stability
分类号 O241.8 [理学—计算数学]
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二级参考文献24

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共引文献4

同被引文献29

  • 1徐阳,刘明珠.多延迟微分代数方程θ-方法的渐近稳定性(英文)[J].黑龙江大学自然科学学报,2004,21(3):3-6. 被引量：5
  • 2李宏智,李建国.求解延迟微分代数方程的多步Runge-Kutta方法的渐近稳定性[J].数学研究,2004,37(3):279-285. 被引量：6
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引证文献6

二级引证文献2

系统仿真学报
2006年 第12期

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