Twenty years of distributed port-Hamiltonian systems: a literature review

Abstract The port-Hamiltonian (pH) theory for distributed parameter systems has developed greatly in the past two decades. The theory has been successfully extended from finite-dimensional to infinite-dimensional systems through a lot of research efforts. This article collects the different research...

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Bibliographic Details
Published in:IMA journal of mathematical control and information 2020-12, Vol.37 (4), p.1400-1422
Main Authors: Rashad, Ramy, Califano, Federico, van der Schaft, Arjan J, Stramigioli, Stefano
Format: Article
Language:English
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Summary:Abstract The port-Hamiltonian (pH) theory for distributed parameter systems has developed greatly in the past two decades. The theory has been successfully extended from finite-dimensional to infinite-dimensional systems through a lot of research efforts. This article collects the different research studies carried out for distributed pH systems. We classify over a hundred and fifty studies based on different research focuses ranging from modeling, discretization, control and theoretical foundations. This literature review highlights the wide applicability of the pH systems theory to complex systems with multi-physical domains using the same tools and language. We also supplement this article with a bibliographical database including all papers reviewed in this paper classified in their respective groups.
ISSN:0265-0754
1471-6887
DOI:10.1093/imamci/dnaa018