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

作　　者：王兆奇[1] 解元元[1] 

机构地区：[1]陕西工业职业技术学院,陕西咸阳712000

出　　处：《西北农林科技大学学报（自然科学版）》2004年第5期105-109,共5页Journal of Northwest A&F University(Natural Science Edition)

摘　　要：　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.

关 键 词：特征向量 零输入解 定理 线性状态方程 线性定常连续系统 证明方法 

分 类 号：O231.1[理学—运筹学与控制论]