基于冲激函数匹配法的系统完全响应分析

摘要

The structure of differential equation's solution is analyzed, and regarded the sum of impulse function's derivative to match as a special differential equation's solution, then proposed an algorithm of solving full response which is based on system response of decomposition. The algorithm can explain the process from the 0- state to the 0+ state, and it can be well applied to solve all kinds of problems in the initial system state response, zero input response ,the zero state response and so on.%从微分方程解的结构入手，将欲匹配的冲激函数各阶导数之和看成微分方程特解，从而提出一种基于系统响应分解思想的全响应求解方法，该算法能很好地解释从0-到0+的状态跳变过程，并能很好应用于系统初始状态求解、系统零输入响应、零状态响应等一系列问题。