二阶线性系统稳定性判定的数值方法

A为N阶方阵,N=2n,设A的特征值为ξ_1,ξ_2,…,ξ_N,根据3]有如下定义: 定义1.若所有的 Reξ_i<0,则称系统(1.1)是渐近稳定的,相应的A阵叫渐近稳定阵;若所有的Reξ_i≤0且对所有的Reξ_k=0的ξ_k对应的初级因子均是线性的,则称系

THE NUMERICAL METHOD OF DISCRIMINATINC STABILITY FOR SECOND ORDER LINEAR SYSTEM

For discriminating stability of a linear system, there were two kinds of thenumerical methods. One is based all computed coefficients of characteristic polynomial,the other ia based on all eigenvalues which are computed. This paper suggests amethods, it is numerical stable than the former and less work than the latter. Moreover,there are some different features from both.