摘要
本文讨论了■=Ax 的零解稳定性的判定。特别对于特征根的实部为零时,若为A-λE 的初等因子的单根,则零解稳定(不渐近稳定);若为 A-λE 的初等因子的重根,则零解不稳定。
In this paper,the decision on zero solution stability of X=A xis discussed.Specially,when rea lpart of characteristicroot is zero solution is stationary(nonasymptotic stability)if it is a simple root of elementary divisor of A-λE;zero solution isnonstationary if it is a repeated root of elementary divison,ofA-λE.
出处
《曲阜师范大学学报（自然科学版）》
CAS
1990年第1期41-45,共5页
Journal of Qufu Normal University(Natural Science)
关键词
微分方程
零解
稳定性
特征根
differential equation
zero solution
stability
characteristic root
elementary divisor
decision
