摘要
本文就二阶系统的状态转移矩阵从一般形式到特殊形式,由C-H定理导出一系列直接用系统矩阵的基本元素求其状态转移矩阵的简单公式,从而避免求解系统状态方程和输出方程繁琐的计算。
This paper is concerned with the general and special form of the state-transition matrix of a second-order system, which is infered from Cayley-hamilton theorem. From these forms, the state-transition matrix can be obtained immediately by using elements of this system matrix. Therefore it may avoid diverse and conplicated calculation for solving the time-domain solution of the state eqations and the out-put eqations.
出处
《福建师范大学学报(自然科学版)》
CAS
CSCD
1989年第1期34-39,共6页
Journal of Fujian Normal University:Natural Science Edition
关键词
二阶系统
状态转移矩阵
求解
LTI system, state space methods of system analysis, transfer-runetion matrix