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.
%0 Book Section
%1 vanderSchaft2017PortHamiltonian
%A van der Schaft, Arjan
%B L2-Gain and Passivity Techniques in Nonlinear Control
%D 2017
%I Springer International Publishing
%K 37j05-finite-dimensional-hamiltonian-general-theory 94c05-analytic-circuit-theory 94c15-circuits-networks-applications-of-graph-theory
%P 113--171
%R 10.1007/978-3-319-49992-5_6
%T Port-Hamiltonian Systems
%U https://link.springer.com/chapter/10.1007/978-3-319-49992-5_6
%X 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.
%@ 978-3-319-49992-5
@incollection{vanderSchaft2017PortHamiltonian,
abstract = {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.},
added-at = {2019-03-01T00:11:50.000+0100},
author = {van der Schaft, Arjan},
biburl = {https://www.bibsonomy.org/bibtex/2c791f9bf97542a09e6b8843a188f5b31/gdmcbain},
booktitle = {L2-Gain and Passivity Techniques in Nonlinear Control},
citeulike-article-id = {14496592},
citeulike-linkout-0 = {http://dx.doi.org/10.1007/978-3-319-49992-5\_6},
citeulike-linkout-1 = {http://link.springer.com/chapter/10.1007/978-3-319-49992-5\_6},
doi = {10.1007/978-3-319-49992-5_6},
interhash = {c1083be2d38d79f9a8abeb5de4096862},
intrahash = {c791f9bf97542a09e6b8843a188f5b31},
isbn = {978-3-319-49992-5},
keywords = {37j05-finite-dimensional-hamiltonian-general-theory 94c05-analytic-circuit-theory 94c15-circuits-networks-applications-of-graph-theory},
pages = {113--171},
posted-at = {2017-12-05 11:46:19},
priority = {5},
publisher = {Springer International Publishing},
series = {Communications and Control Engineering},
timestamp = {2022-09-02T06:39:12.000+0200},
title = {{Port-Hamiltonian Systems}},
url = {https://link.springer.com/chapter/10.1007/978-3-319-49992-5_6},
year = 2017
}