Minimality of Linear Switched Systems with known switching signal

Md Sumon Hossain*, Stephan Trenn

*Corresponding author for this work

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Abstract

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.
Original languageEnglish
Title of host publication92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
EditorsM. Kaliske
PublisherWiley
Number of pages3
DOIs
Publication statusPublished - Dec-2021

Publication series

NameProceedings in Applied Mathematics and Mechanics
PublisherWiley
Number1
Volume21
ISSN (Print)1617-7061

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