论文标题
线性多变量系统的拓扑等效形式不受控制
Topological equivalence canonical forms for linear multivariable systems without control
论文作者
论文摘要
在本文中，我们讨论了无控制的线性时间不变多变量系统的分类问题。事实证明，对于拓扑等效系统，可观察性和稳定性是不变的。有关系统分解的摘要结果，根据特征值和可观察性。最后，作为具体的例子，明确介绍了配备有标量观察的三维系统的拓扑等效形式。
In this paper, we discuss the classification problem for linear time-invariant multivariable systems without control. It turns out that the observability and stability are invariant for topological equivalent systems. Abstract results concerning system decomposition according to eigenvalues and observability are obtained. Finally, as concrete examples, the topological equivalence canonical forms for a three dimensional system equipped with a scalar observation are presented explicitly.
