状态方程的约当化方法与分析

The Jordan Method and Analysis for State Equations

在自动控制及计算机应用研究中往往遇到提出的不用特征向量,直接根据方阵A的特征值的代数重数、退化度和其特征值指数构造其相似约当阵,再根据线性变换关系求出变换阵P,进而对状态方程进行约当化的方法,经理论和实践证明,该方法简单有效。

This paper proposes a Jordan method for state equations. Based on the similar Jordan matrix which is composed of the algebraic multiplicity, degradation and its eigenvalue index from the eigenvalue of matrix A, transferring matrix （P） was calculated by their linear relations of the above. The method is proved to be simple and feasible by theory and practice.