Notes on Strict System Equivalence
(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.
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- author
- Pernebo, Lars
- organization
- publishing date
- 1977
- 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}}, }