Realization theory for linear switched systems: Formal power series approach

被引：16

作者：

Petreczky, Mihaly ^{[1
]}

机构：

[1] Johns Hopkins Univ, Ctr Imaging Sci, Baltimore, MD 21218 USA

来源：

SYSTEMS & CONTROL LETTERS | 2007年 / 56卷 / 9-10期

关键词：

hybrid systems; switched linear systems; realization theory; formal power series; minimal realization;

D O I：

10.1016/j.sysconle.2007.04.006

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper deals with the realization theory of linear switched systems. Necessary and sufficient conditions are formulated for a family of input-output maps to be realizable by linear switched systems. Characterization of minimal realizations is presented. The paper treats two types of linear switched systems. The first one is when all switching sequences are allowed. The second one is when only a subset of switching sequences is admissible, but within this restricted set the switching times are arbitrary. The paper uses the theory of formal power series to derive the results on realization theory. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：588 / 595

页数：8