摄动矩阵中摄动元素的最大摄动界研究

STUDY ON THE PERTURBATION BOUND OF THE PERTURBEDELEMENTS IN PERTURBATION MATRIX

对确定摄动矩阵中元素摄动界的线性摄动直接法和结构参数摄动法进行了研究和比较,利用不等式放缩等技巧,从理论上证明了任何线性摄动系统都可以化成结构参数摄动系统的形式,且用结构摄动法求出的摄动界保守性较小,并用算例进行了验证.

The direct linear perturbation method and the construct parameter peturbation method are studied to determine perturbation bound and compared. By inequality, it is proved that any linear perturbation system can be changed into the construct parameter perturbation system, and the perturbation bound obtained by the construct parameter perturbation method is less conservative. This conclusion is proved by an example.