Observability for port-Hamiltonian systems

Birgit Jacob, Hans Zwart

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

2 Citations (Scopus)
59 Downloads (Pure)


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 languageEnglish
Title of host publication2021 European Control Conference, ECC 2021
Place of PublicationPiscataway, NJ
Number of pages6
ISBN (Electronic)978-94-6384-236-5
ISBN (Print)978-1-6654-7945-5
Publication statusPublished - 3 Jan 2022
Event2021 European Control Conference, ECC 2021 - Online Event, Netherlands
Duration: 19 Jun 20212 Jul 2021


Conference2021 European Control Conference, ECC 2021
Abbreviated titleECC 2021
CityOnline Event


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