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Notes on Strict System Equivalence

Pernebo, Lars (1977) In International Journal of Control 25(1). p.21-38
Abstract
It is shown that strict system equivalence in Rosenbrock's sense is equivalent to the existence of a certain bijective mapping between the sets of solutions to the differential equations describing the system. This leads to a simple proof of the fact that the equivalence classes under strict system equivalence are well defined, although the dimension of the system matrix is not uniquely defined. It is also shown that equivalence in Wolovich's sense is the same as strict system equivalence.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
International Journal of Control
volume
25
issue
1
pages
21 - 38
publisher
Taylor & Francis
external identifiers
  • scopus:0017442606
ISSN
0020-7179
DOI
10.1080/00207177708922213
language
English
LU publication?
no
id
b267d51d-edbe-44a6-82b0-ae99d0240bf2
date added to LUP
2018-12-16 15:20:38
date last changed
2021-08-29 04:06:26
@article{b267d51d-edbe-44a6-82b0-ae99d0240bf2,
  abstract     = {{It is shown that strict system equivalence in Rosenbrock's sense is equivalent to the existence of a certain bijective mapping between the sets of solutions to the differential equations describing the system. This leads to a simple proof of the fact that the equivalence classes under strict system equivalence are well defined, although the dimension of the system matrix is not uniquely defined. It is also shown that equivalence in Wolovich's sense is the same as strict system equivalence.}},
  author       = {{Pernebo, Lars}},
  issn         = {{0020-7179}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{21--38}},
  publisher    = {{Taylor & Francis}},
  series       = {{International Journal of Control}},
  title        = {{Notes on Strict System Equivalence}},
  url          = {{http://dx.doi.org/10.1080/00207177708922213}},
  doi          = {{10.1080/00207177708922213}},
  volume       = {{25}},
  year         = {{1977}},
}