Algebraic stability criterion for high order differential equations in a behavioral framework
Algebraic stability criterion for high order differential equations in a behavioral framework
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行为框架中高阶微分方程的代数稳定性准则
DOI：
10.1109/cdc.1998.760603
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
Takao Fuji
中科院分区：
文献类型：
--
作者：
Osamu Kaneko;Takao Fuji
本文在行为框架下研究了由高阶微分方程描述的线性动力系统的代数稳定性判据。我们利用二次微分形式和二元多项式矩阵导出了新的稳定性判据。本文的结果允许人们从原系数矩阵的角度来评价渐近稳定性。
We consider the algebraic stability criterion for linear dynamical systems described by the high order differential equations in a behavioral framework. We derive our new stability criterion by using quadratic differential forms and two variable polynomial matrices. The result in this paper allows one to evaluate the asymptotic stability from the view point of original coefficient matrices.