中立型延时微分代数方程的稳定性准则(英文)  

Stability criteria for neutral delay differential-algebraic equations

作　　者：范妮[1] 刘玲玲[1] 孙乐平[1] 

机构地区：[1]上海师范大学数理学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2013年第5期451-457,共7页Journal of Shanghai Normal University(Natural Sciences)

基　　金：supported by the Scientific Computing Key Laboratory of Shanghai University

摘　　要：研究了中立型延时微分代数方程的渐进稳定性.给出了判断其稳定性的两种稳定性准则,并利用在一个环形区域边界上对一种相应的调和函数的估计来描述这两种准则.The asymptotic stability of neutral delay differential-algebraic equations is studied in this paper. Two stability criteria described by evaluating a corresponding harmonic function on the boundary of a torus region are presented.

关 键 词：特征值 矩阵范数 谱半径 边界准则 调和函数 渐进稳定性 对数范数 

分 类 号：O241.81[理学—计算数学]