一类线性系统的鲁棒稳定性分析

ON THE ROBUSTNESS OF A KIND OF LINEAR SYSTEMS

控制系统的稳定性问题一直被人们所关注,而系统的某些参数总是有某种变化的,所以对于控制系统的鲁棒稳定性研究更被人们所重视,本文通过对线性系统运动方程系数矩阵特征值的鲁棒性分析,分析了系统的鲁棒稳定性,同时给出了扰动矩阵稳定的充分条件。

: To a actual system, the robustness is important. Moreover, its robust stability is more important. This article mainly consists of two parts. The first part is on the analysis of eigenvalue robustness of diagonalization matrices; the second gives a sufficient condition for the stability of indefinite matrices.