On strict system equivalence and similarity

Paul A. Fuhrmann

doi:10.1080/00207177708922211

On strict system equivalence and similarity

Paul A. Fuhrmann

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

It is shown that if a natural state space model is associated with each polynomial system matrix then the similarity of the models is equivalent to the strict system equivalence (s.s.e.) of the system matrices. A minor departure from Rosenbrock’s definition of s.s.e. is needed.

Original language	English
Pages (from-to)	5-10
Number of pages	6
Journal	International Journal of Control
Volume	25
Issue number	1
DOIs	https://doi.org/10.1080/00207177708922211
State	Published - 1 Jan 1977

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications

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10.1080/00207177708922211

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abstract = "It is shown that if a natural state space model is associated with each polynomial system matrix then the similarity of the models is equivalent to the strict system equivalence (s.s.e.) of the system matrices. A minor departure from Rosenbrock{\textquoteright}s definition of s.s.e. is needed.",

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AB - It is shown that if a natural state space model is associated with each polynomial system matrix then the similarity of the models is equivalent to the strict system equivalence (s.s.e.) of the system matrices. A minor departure from Rosenbrock’s definition of s.s.e. is needed.

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On strict system equivalence and similarity

Abstract

ASJC Scopus subject areas

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