Minimality of Linear Switched Systems with known switching signal

Md Sumon Hossain*, Stephan Trenn

*Bijbehorende auteur voor dit werk

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Minimal realization is discussed for linear switched systems with a given switching signal. We propose a consecutive forward and backward approach for the time-interval of interest. The forward approach refers to extending the reachable subspace at each switching time by taking into account the nonzero reachable space from the previous mode. Afterwards, the backward approach extends the observable subspace of the current mode by taking observability information from the next mode into account. This results in an overall reduced switched system which is minimal and has the same input-output behavior as original system. Some examples are provided to illustrate the approach.
Originele taal-2English
Titel92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
RedacteurenM. Kaliske
UitgeverijWiley
Aantal pagina's3
DOI's
StatusPublished - dec-2021

Publicatie series

NaamProceedings in Applied Mathematics and Mechanics
UitgeverijWiley
Nummer1
Volume21
ISSN van geprinte versie1617-7061

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