On reciprocal systems and controllability

被引：5

作者：

Hughes, Timothy H. ^{[1
]}

机构：

[1] Univ Exeter, Dept Math, Penryn Campus, Penryn TR109 EZ, Cornwall, England

来源：

AUTOMATICA | 2019年 / 101卷

关键词：

Reciprocity; Passive system; Linear system; Controllability; Observability; Behaviors; Electrical networks; NEGATIVE IMAGINARY SYSTEMS; LINEAR-SYSTEMS; STATE MAPS; REALIZATIONS;

D O I：

10.1016/j.automatica.2018.12.021

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we extend classical results on (i) signature symmetric realizations, and (ii) signature symmetric and passive realizations, to systems which need not be controllable. These results are motivated in part by the existence of important electrical networks, such as the famous Bott-Duffin networks, which possess signature symmetric and passive realizations that are uncontrollable. In this regard, we provide necessary and sufficient algebraic conditions for a behavior to be realized as the driving-point behavior of an electrical network comprising resistors, inductors, capacitors and transformers. (C) 2018 Published by Elsevier Ltd.

引用

页码：396 / 408

页数：13

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