Discrete port Hamiltonian systems

V. Talasila; J.J. Clemente Gallardo; A.J. van der Schaft

doi:10.3182/20050703-6-CZ-1902.00737

Discrete port Hamiltonian systems

V. Talasila, J.J. Clemente Gallardo, A.J. van der Schaft

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

3 Citations (Scopus)

Abstract

Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this paper is to model port-Hamiltonian systems at the discrete level. We also show that the dynamics of the discrete models we obtain exactly correspond to the dynamics obtained via a usual discretization procedure. In this sense we offer an alternative to the usual procedure of modeling (at the smooth level) and discretization.

Original language	English
Title of host publication	Proceedings of the 16th IFAC World Congress
Editors	P Horacek, M Simandl, P Zitek
Publisher	International Federation of Automatic Control
Pages	495-500
Number of pages	9
ISBN (Print)	978-0-08-045108-4
DOIs	https://doi.org/10.3182/20050703-6-CZ-1902.00737
Publication status	Published - 2005
Event	16th IFAC World Congress 2005 - Prague, Czech Republic Duration: 3 Jul 2005 → 8 Jul 2005 Conference number: 16 http://www.utia.cas.cz/news/608

Publication series

Name	IFAC Proceedings Volumes
Publisher	Elsevier
Number	1
Volume	38

Conference

Conference	16th IFAC World Congress 2005
Country/Territory	Czech Republic
City	Prague
Period	3/07/05 → 8/07/05
Internet address	http://www.utia.cas.cz/news/608

Keywords

Port Hamiltonian systems
Discrete mechanics

Access to Document

10.3182/20050703-6-CZ-1902.00737

Cite this

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title = "Discrete port Hamiltonian systems",

abstract = "Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this paper is to model port-Hamiltonian systems at the discrete level. We also show that the dynamics of the discrete models we obtain exactly correspond to the dynamics obtained via a usual discretization procedure. In this sense we offer an alternative to the usual procedure of modeling (at the smooth level) and discretization.",

keywords = "Port Hamiltonian systems, Discrete mechanics",

author = "V. Talasila and {Clemente Gallardo}, J.J. and {van der Schaft}, A.J.",

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isbn = "978-0-08-045108-4",

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pages = "495--500",

editor = "P Horacek and M Simandl and P Zitek",

booktitle = "Proceedings of the 16th IFAC World Congress",

note = "16th IFAC World Congress 2005 ; Conference date: 03-07-2005 Through 08-07-2005",

url = "http://www.utia.cas.cz/news/608",

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Talasila, V, Clemente Gallardo, JJ & van der Schaft, AJ 2005, Discrete port Hamiltonian systems. in P Horacek, M Simandl & P Zitek (eds), Proceedings of the 16th IFAC World Congress. IFAC Proceedings Volumes, no. 1, vol. 38, International Federation of Automatic Control, pp. 495-500, 16th IFAC World Congress 2005, Prague, Czech Republic, 3/07/05. https://doi.org/10.3182/20050703-6-CZ-1902.00737

Discrete port Hamiltonian systems. / Talasila, V.; Clemente Gallardo, J.J.; van der Schaft, A.J.
Proceedings of the 16th IFAC World Congress. ed. / P Horacek; M Simandl; P Zitek. International Federation of Automatic Control, 2005. p. 495-500 (IFAC Proceedings Volumes; Vol. 38, No. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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