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dc.contributor.authorJacob, Birgit
dc.contributor.authorMorris, Kirsten
dc.contributor.authorZwart, Hans 21:19:56 (GMT) 21:19:56 (GMT)
dc.descriptionThe final publication is available at Elsevier via © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
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 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 a well-posed system, 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.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.subjectPort-Hamiltonian systemen
dc.subjectdistributed parameter systemsen
dc.subjectboundary controlen
dc.subjectzero dynamicsen
dc.subjectcoupled-wave equationsen
dc.titleZero dynamics for networks of wavesen
dcterms.bibliographicCitationJacob, Birgit, Kirsten A. Morris, and Hans Zwart. “Zero Dynamics for Networks of Waves.” Automatica 103 (May 1, 2019): 310–21.
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Applied Mathematicsen

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