Abstract
The class of port-Hamiltonian systems incorporates many physical models, such as mechanical systems in the finite-dimensional case and wave and beam equations in the infinite-dimensional case. In this paper we study a subclass of linear first order port-Hamiltonian systems. In [3], it is shown that these systems are exactly observable when the energy is not dissipated internally and when sufficient observations are made at the boundary. In this article we study the observability properties for these systems when internal dissipation of energy is possible. We cannot show the exact observability, but we do show that the Hautus test is satisfied. In general, the Hautus test is weaker than exact observability, but stronger than approximate observability. Hence we conclude that these systems are approximately observable.
Original language | English |
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Title of host publication | 2021 European Control Conference, ECC 2021 |
Place of Publication | Piscataway, NJ |
Publisher | IEEE |
Pages | 2052-2057 |
Number of pages | 6 |
ISBN (Electronic) | 978-94-6384-236-5 |
ISBN (Print) | 978-1-6654-7945-5 |
DOIs | |
Publication status | Published - 3 Jan 2022 |
Event | 2021 European Control Conference, ECC 2021 - Online Event, Netherlands Duration: 29 Jun 2021 → 2 Jul 2021 |
Conference
Conference | 2021 European Control Conference, ECC 2021 |
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Abbreviated title | ECC 2021 |
Country/Territory | Netherlands |
City | Online Event |
Period | 29/06/21 → 2/07/21 |
Keywords
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