论文部分内容阅读
本文以一般补空间的概念讨论定常线性系统的分解,指出取自然基作为补空间的基,可以使系统分解的变换矩阵求逆最简单。鉴于在正交补空间定义下用交空间方法一般得不到标准分解,本文给出了一种在一般补空间定义下利用交空间进行标准分解的方法,证明了基本的不能控状态变量、基本的能观状态变量和基本的能观不能控状态变最的不变性。
In this paper, we discuss the decomposition of a stationary linear system by the concept of general complement space. It is pointed out that taking the natural basis as the basis of a complement space can make the transformation matrix of the system decomposition the simplest. In view of the fact that the method of intersecting space can not be decomposed normally by using the method of intersecting space, this paper presents a method of standard decomposition using the space of common complement under the definition of general complement space. It proves that the basic uncontrollable state variables, The observable state variables and the basic observable uncontrollable states change the most invariance.