中文摘要：

卷积积分是计算连续时间系统零状态响应的数学工具．指出在利用由卷积微分性质和积分性质所得推论简化求解卷积运算时，参与卷积的两个函数都要受到条件限制．通过理论分析并用实例论证了由卷积微分性质和积分性质所得推论的局限性，进一步推导证明：该推论的应用条件是参与卷积的两函数都应在-∞处收敛．还利用理论分析结果对一个具体的连续时间系统进行了分析．

英文摘要：

Convolution integral is a mathematical method applied to calculus the zero state response of continuous-time systems. This paper points out that the functions of convolution have some limitations applying the result worked out by the differential and integral properties of convolution integral to simply calculus convolution integral, and the limitation is proved by theoretical analysis and some examples. The applied condition of the result has been given also, that is two functions of convolution integral must be convergence at infinite previous time. With the result, a continous-time system has been analyzed.