Journal
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION
Volume 37, Issue 4, Pages 1400-1422Publisher
OXFORD UNIV PRESS
DOI: 10.1093/imamci/dnaa018
Keywords
port-Hamiltonian theory; distributed parameter systems; multi-physical systems; energy-based control; spatial discretization
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Funding
- European Research Council [787675]
- European Research Council (ERC) [787675] Funding Source: European Research Council (ERC)
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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.
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