非亏损动力学系统特征对导数的计算

Calculation of the Eigenpair Derivatives in Nondefective Dynamic System

提出了阻尼动力系统规范化特征向量的一个策略 ,分别给出了计算该系统单特征对和重特征对导数的方法。提出的方法不要求系统矩阵的对称性 ,直接由阻尼动力系统的特征值和特征向量计算特征对导数 ,从而减少了计算量。

A normalizing condition of eigenvector for damped dynamic system is proposed. Methods are presented, which are used for calculating the derivatives of eigenpairs corresponding to simple eigenvalues and nondefective multiple eigenvalues. The methods can deal with the systems with nonsymmetric matrices. And the derivatives are calculated in terms of the eigenvalues and eigenvectors of the damped dynamic system, hence the cost of computation is greatly reduced.