Zero Dynamics for Port-Hamiltonian Systems
| dc.contributor.author | Jacob, Birgit | |
| dc.contributor.author | Morris, Kirsten | |
| dc.contributor.author | Zwart, Hans | |
| dc.date.accessioned | 2017-11-21T17:03:32Z | |
| dc.date.available | 2017-11-21T17:03:32Z | |
| dc.date.issued | 2017-11-19 | |
| 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 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.sponsorship | Oberwolfach 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.identifier.uri | http://arxiv.org/abs/1711.07020 | |
| dc.identifier.uri | http://hdl.handle.net/10012/12655 | |
| dc.language.iso | en | en |
| 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 Port-Hamiltonian Systems | en |
| dc.type | Preprint | en |
| dcterms.bibliographicCitation | Jacob, B., Morris, K. A., & Zwart, H. (2017). Zero Dynamics for Port-Hamiltonian Systems. ArXiv:1711.07020 [Math]. http://arxiv.org/abs/1711.07020 | en |
| uws.contributor.affiliation1 | Faculty of Mathematics | en |
| uws.contributor.affiliation2 | Applied Mathematics | en |
| uws.peerReviewStatus | Unreviewed | en |
| uws.scholarLevel | Faculty | en |
| uws.typeOfResource | Text | en |