Structural invariants of linear multivariable systems
Structural invariants of linear multivariable systems
复制标题
DOI：
10.1080/00207177808922474
复制
发表时间：
1978-10
影响因子：
2.1
通讯作者：
B. Molinari
中科院分区：
文献类型：
--
作者：
B. Molinari
将所有线性多变量系统的类{∑}按所有基变换、所有状态反馈变换和所有输出注入变换组成的组划分为等价类。本文给出了莫尔斯首先给出的完全不变量集的一个新的推导方法和相应的标准形。强可达性和强可观测性概念是关键工具。该方法产生相对简单的证明和经济的矩阵算法。
The class {∑} of all linear multivariable systems is partitioned into equivalence classes by the group consisting of all basis, all state feedback and all output injection transformations. This paper provides a new derivation of a set, of complete invariants and a corresponding canonical form first given by Morse. Strong reachability and strong observability concepts are the key tools. The method yields relatively simple proofs and economical matrix algorithms.