%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 }