一种特殊情形下的零输入响应求解方法

An Approach to Determining Zero-Iuput Responses Under a Special Situation

探讨了两个理论问题:当线性定常网络的特征根为互不相等的实数时,任意一组状态(包括初始状态)与特征向量之间的关系;以某一特征向量作为激励,零输入响应的组成特点。在3个定理的基础上,提出并举例说明了这种特殊情形下零输入响应的计算方法,并借助Matlab5.3验证了所得结果的正确性。

This paper deals with two theoretical issues concerning linear and time-invariant networks whose eigenvalues are distinct real numbers: the relationship between any arbitrary group of states (including initial values) and characteristic vectors; the unique feature of zero-input responses to the excitation of any single characteristic vector. Based on the three basic theorems presented in the paper, an approach to determining zero-input responses is developed and examples are given to illustrate the approach with the aid of Matlab 5.3.