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dc.contributor.authorJacob, Birgit
dc.contributor.authorMorris, Kirsten
dc.contributor.authorZwart, Hans 17:03:32 (GMT) 17:03:32 (GMT)
dc.description.abstractThe zero dynamics of infinite-dimensional systems can be difficult to characterize. The zero dynamics of boundary control systems are particularly problematic. In this paper the zero dynamics of port-Hamiltonian systems are studied. A complete characterization of the zero dynamics for a port-Hamiltonian systems with invertible feedthrough as another port-Hamiltonian system on the same state space is given. It is shown that the zero dynamics for any port-Hamiltonian system with commensurate wave speeds are well-defined, and are also a port-Hamiltonian system. Examples include wave equations with uniform wave speed on a network. A constructive procedure for calculation of the zero dynamics, that can be used for very large system order, is provided.en
dc.description.sponsorshipOberwolfach Institute under the Research in Pairs Program National Science and Engineering Research Council of Canada Discovery Grant program German Academic Exchange Service(DAAD) Deutsche Forschungsgemeinschaft (DFG)en
dc.subjectPort-Hamiltonian systemen
dc.subjectdistributed parameter systemsen
dc.subjectboundary controlen
dc.subjectzero dynamicsen
dc.subjectcoupled wave equationsen
dc.titleZero Dynamics for Port-Hamiltonian Systemsen
dcterms.bibliographicCitationJacob, B., Morris, K. A., & Zwart, H. (2017). Zero Dynamics for Port-Hamiltonian Systems. ArXiv:1711.07020 [Math].
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Applied Mathematicsen

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