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	特征向量的零输入解定理及其证法探讨
	王兆奇¹, 解元元¹
	陕西工业职业技术学院

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。

关键词: 线性定常系统特征向量零输入解

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基金项目:

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

Abstract:

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.

Key words: linear and time-invariant system characteristic vector zero-input response