线性时变系统的时域分析  

Time-Domain Analysis of Linear Time-Varying Systems

作　　者：陈绍荣 何健 刘郁林 朱行涛 CHEN Shao-rong;HE Jian;LIU Yu-lin;ZHU Xing-tao(Communication Sergeants College,PLA Army Engineering University,Chongqing 400035,China;Military Representative Office of Military Representative Bureau in Chengdu,Military Commission Equipment Development Department,Chengdu Siehuan 610041,China;Chongqing Economic and Information Commission,Chongqing 400015,China)

机构地区：[1]陆军工程大学通信士官学校,重庆400035 [2]军委装备发展部军事代表局驻成都地区军事代表室,四川成都610041 [3]重庆市经信委,重庆400015

出　　处：《通信技术》2018年第8期1776-1779,共4页Communications Technology

基　　金：重庆高校创新团队建设计划资助(No.KJTD201343)~~

摘　　要：提出了一类可解的高阶线性时变系统的时域分析方法。首先基于分离变量的基本思路,导出了一阶线性时变系统全响应的通解公式,然后将一类可解的二阶线性时变系统的非齐次微分方程转化成为两个关联的一阶线性时变系统的非齐次微分方程,借助一阶线性时变系统全响应的通解公式,导出了一类可解的二阶线性时变系统全响应的通解公式,有效解决了一类可解的高阶线性时变系统全响应的时域求解问题。A time-domain analysis method for a class of solvable high-order linear time-varying systems is proposed. Firstly, based on the idea of separating variables, the general solution formula of full response for the first-order linear time-varying system is derived. Then, the non-homogeneous differential equations of a class of solvable second-order linear time-varying systems are transformed into non-homogeneous differential equations of two associated first-order linear time-varying systems. By using the general solution formula of full-response for the first-order linear time-varying system, a general solution of full response for a class of solvable second-order linear time-varying systems is derived, thus effectively solving the time- domain problem of a class of solvable high-order linear time-varying systems with full response.

关 键 词：线性时变系统 零输入响应 零状态响应 全响应 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]