一类退化时滞微分方程系统稳定性分析  

Stability Analysis of One Class of Delay Differential Algebraic Equation

作　　者：律士波[1] 

机构地区：[1]东北林业大学

出　　处：《哈尔滨师范大学自然科学学报》2009年第6期27-30,共4页Natural Science Journal of Harbin Normal University

基　　金：黑龙江省博士后科研基金部分资助

摘　　要：就时滞微分代数方程的稳定性,渐进稳定性做了讨论.指出如果退化时滞微分方程的所有特征根都具有负实部,在这个条件下,特征根的负实部的最大值为负,由此可以得到具体条件,在该条件下,如果所有特征根都具有负实部,则退化时滞微分方程的解是稳定的.并讨论了四阶代数微分方程的稳定性.In this paper,some suggestions about the stability,asymptotic stability of Delay differential algebraic equations are provided.It is pointed our that if all the characteristic roots have negative real parts,under a condition,the maximal value of real parts of the characteristic roots is negative.The result shows that if all the characteristic roots have negative real parts,under a condition,the solution of delay differential algebraic system is exponentially stable.At the same time,it discusses the stability of 4-order delay differential equations,and it analyses the stability of a model of 4-order differential equations.

关 键 词：时滞 微分代数方程 特征根分布 稳定性 

分 类 号：O175.1[理学—数学]