基于冲激函数匹配法的系统完全响应分析

System Completely Response Analysis on Impulse Function Balance Method in Time Domain

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.

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.