Zero dynamics for networks of waves
| dc.contributor.author | Jacob, Birgit | |
| dc.contributor.author | Morris, Kirsten | |
| dc.contributor.author | Zwart, Hans | |
| dc.date.accessioned | 2020-06-22T21:19:56Z | |
| dc.date.available | 2020-06-22T21:19:56Z | |
| dc.date.issued | 2019-05 | |
| dc.description | The final publication is available at Elsevier via https://doi.org/10.1016/j.automatica.2019.02.010. © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
| dc.description.abstract | The 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.identifier.uri | https://doi.org/10.1016/j.automatica.2019.02.010 | |
| dc.identifier.uri | http://hdl.handle.net/10012/16009 | |
| dc.language.iso | en | en |
| dc.publisher | Elsevier | en |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | Port-Hamiltonian system | en |
| dc.subject | distributed parameter systems | en |
| dc.subject | boundary control | en |
| dc.subject | zero dynamics | en |
| dc.subject | networks | en |
| dc.subject | coupled-wave equations | en |
| dc.title | Zero dynamics for networks of waves | en |
| dc.type | Article | en |
| dcterms.bibliographicCitation | Jacob, Birgit, Kirsten A. Morris, and Hans Zwart. “Zero Dynamics for Networks of Waves.” Automatica 103 (May 1, 2019): 310–21. https://doi.org/10.1016/j.automatica.2019.02.010. | en |
| uws.contributor.affiliation1 | Faculty of Mathematics | en |
| uws.contributor.affiliation2 | Applied Mathematics | en |
| uws.peerReviewStatus | Reviewed | en |
| uws.scholarLevel | Faculty | en |
| uws.typeOfResource | Text | en |
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