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Port-Hamiltonian Systems: Mathematical Aspects
Last Updated: 2026-02-05 16:29:37
Abstract
The seminar covers theory and applications of port-Hamiltonian system models based on current literature. The various topics have to be presented by groups of students.
Objective
Participants of the seminar should acquire familiarity with the concept of port-Hamiltonian systems and the relevant mathematical theory for their analysis. They should be enabled to devise and understand port-Hamiltonian models of physical systems.
Content
Port-Hamiltonian provide a mathematical framework for the modeling of complex (multi-physics) systems, of their dynamical behavior, for understanding their stability and effective control. They are based on geometric structure and represent a generalization of Hamiltonian systems towards open systems. The building blocks of port-Hamiltonian systems are thought to interact by exchanging energy. So the main focus of port-Hamiltonian modeling is on accurately representing the flow, storage, and dissipation of energy. Port-Hamiltonian models are ubiquitous nowadays, used in areas like mechanics, fluid dynamics, thermodynamics, and (electric) circuits. They play a big role in modern control theory and are a highly active field of theoretical and applied research. This seminar will study a number of mongraph chapters and research papers dealing with both theoretical and application aspects of post-Hamiltonian system models. Topics: 1. Hamiltonian systems 2. From Hamiltonian Systems to Poisson Geometry 3. Bond Graph Modeling 4. Hamiltonian formulation of network dynamics 5. Network modeling of physical systems 6. Port-Hamiltonian systems 7. Input-state-output PHS 8. Port-Hamilotian systems on graphs 9. PHS description of fluids 10. Distributed PHS Student groups will be decided and topics will be assigned during the preparatory meeting. More information: https://people.math.ethz.ch/~ralfh/Seminars/PHS_24/SeminarPHS_HS24.pdf
Resources
Literature
See https://people.math.ethz.ch/~ralfh/Seminars/PHS_24/SeminarPHS_FS24.pdf Link for accessing literature and slides: https://polybox.ethz.ch/index.php/s/QuAYObBH1b6B0Lz , password: PHS_HS24
General Information
- Language
- English
- Levels
- BSC , MSC
- Frequency
- Yearly recurring
Examination
- Type
- ungraded semester performance
Registration & Places
- Max Places
- 12
- Signup End
- 20.09.2024
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| seminar |
Port-Hamiltonian Systems: Mathematical Aspects
First meeting is on Monday, 16 September 2024 at 17:15 (not 16:15) in HG E 21.
|
|
2 h weekly |
Offered In
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Seminars (NOTICE: The number of seminar places is limited, and the special selection procedure should help to allocate the places not primarily according to the registration time. Everybody is waitlisted first when he/she tries to register for such a seminar in myStudies. Moreover: Only one mathematics seminar can be chosen per semester. Notice also the course unit 401-0002-99L Generic Seminar - Second Priority / Third Priority.)
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Seminars (NOTICE: The number of seminar places is limited, and the special selection procedure should help to allocate the places not primarily according to the registration time. Everybody is waitlisted first when he/she tries to register for such a seminar in myStudies. Moreover: Only one mathematics seminar can be chosen per semester. In case you need to attend 2 seminars in this semester, please take contact with the Study Administration (email: ). Notice also the course unit 401-0002-99L Generic Seminar - Second Priority / Third Priority.)
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