Port-Hamiltonian Systems

Arjan van der Schaft*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

2 Citations (Scopus)


As described in the previous Chaps. 3 and 4, (cyclo-)passive systems are defined by the existence of a storage function (nonnegative in case of passivity) satisfying the dissipation inequality with respect to the supply rate s(u, y) = uTy. In contrast, port-Hamiltonian systems, the topic of the current chapter are endowed with the property of (cyclo-)passivity as a consequence of their system formulation. In fact, port-Hamiltonian systems arise from first principles physical modeling. They are defined in terms of a Hamiltonian function together with two geometric structures (corresponding, respectively, to power-conserving interconnection and energy dissipation), which are such that the Hamiltonian function automatically satisfies the dissipation inequality.

Original languageEnglish
Title of host publicationL2-Gain and Passivity Techniques in Nonlinear Control
EditorsArjan van der Schaft
PublisherSpringer International Publishing
Number of pages59
ISBN (Electronic)978-3-319-49992-5
ISBN (Print)978-3-319-49991-8
Publication statusPublished - 1-Jan-2017

Publication series

NameCommunications and Control Engineering
ISSN (Print)0178-5354
ISSN (Electronic)2197-7119

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