数值求解多延迟中立型系统的渐近稳定性(英文)  

Asymptotic Stability of Numerical Methods for Neutral Delay Differential Equations with Multiple Delays

作　　者：丛玉豪[1] 许丽[1] 匡蛟勋[1] 

机构地区：[1]上海师范大学数学系

出　　处：《系统仿真学报》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

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.

关 键 词：线性多步法 中立型延迟系统 渐近稳定性 A-稳定性 

分 类 号：O241.8[理学—计算数学]