摘要
卷积积分是线性非时变系统时域分析中的一种基本手段。应用它求系统的零状态响应时，如何确定积分限，既是关键，又是难点。日前，在有关的论著中，大多借助于图解法，进行繁琐的分区间积分，然后得出各区间的响应函数。本文从探索摒弃图解法出发，在理论上严谨地论证了怎样等效替代积分限，由解析法直接确定完整的零状态响应的两种新方法，给出了普遍适用的结论，并辅以典型范例说明。
Convolution integration is a fundamental means in the time-domain analysis of a linear time-invariant system. The bottle neck when applying this means to the analysis is how to determine the integrad limits. Up to now, most of the solution found in the related works are to obtain the individual response function for each divided region after processing complicated calculation of dividing region integration with the help of graphic methods. Therefore,it is important to search out a convenient solution instead of using the complicated calculations with graphic methods. This article theoretically, strictly expounds and proves the equivalent replacement of the integral limits, and two new methods to determine a groble zero-state response directly with analytic method. A general conclusion for all cases is obtained and some typical demostrations are illustrated in the article.
