特征向量的零输入解定理及其证法探讨

An exploration into various proofs of a theorem about characteristic vectors and zero-input responses

在研究线性状态方程的特征向量与零输入解二者关系的基础上,推导出一个适用于线性定常连续系统的定理;给出了各种证明方法,并举例验证了定理的正确性。

Based on discussing the relationship between characteristic vectors and zero-input-responses,a theorem is established which is applicable for linear,time-invariant and continuous systems.In addition,different proofs and several examples are given to illustrate the theorem.