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2015 | OriginalPaper | Chapter

8. Modeling Perspectives of Hybrid Systems and Network Systems

Authors : Jun-ichi Imura, Takayuki Ishizaki

Published in: Mathematical Control Theory I

Publisher: Springer International Publishing

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Abstract

This article presents two topics, i.e., well-posedness of piecewise affine systems, and model reduction of network systems. The well-posedness problem, i.e., the problem of existence and uniqueness of solutions, of hybrid systems is one of the fundamental research topics, which the first author has collaborated with Prof. Arjan van der Schaft in 1998. Some results are revisited by focusing on the class of bimodal piecewise affine systems. The latter discusses the most recent topic that both Arjan and the first author have common interest in. In particular, the clustering-based \(H_\infty -\) and \(H_2\)-model reduction approaches of large-scale network systems, which have been independently developed by the authors, are represented in a unified way.

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previous chapter Optimal Management with Hybrid Dynamics—The Shallow Lake Problem
next chapter Control of HVDC Transmission Systems: From Theory to Practice and Back
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Metadata
Title
Modeling Perspectives of Hybrid Systems and Network Systems
Authors
Jun-ichi Imura
Takayuki Ishizaki
Copyright Year
2015
Book
Mathematical Control Theory I

Print ISBN: 978-3-319-20987-6

Electronic ISBN: 978-3-319-20988-3

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-20988-3_8