Implicit Lagrangian equations and the mathematical modeling of physical systems

Luc Moreau, Arjan van der Schaft

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

1 Citation (Scopus)
24 Downloads (Pure)

Abstract

We introduce a class of optimal control problems on manifolds which gives rise (via the Pontryagin maximum principle) to a class of implicit Lagrangian systems (a notion which is introduced in the paper). We apply this to the mathematical modeling of interconnected mechanical systems and mechanical systems with singularities.
Original languageUndefined
Title of host publicationProceedings of the 41st IEEE Conference on Decision and Control
Place of PublicationLas Vegas, Nevada, U.S.A.
PublisherIEEE
Pages1651-1656
Number of pages6
ISBN (Print)0-7803-7516-5
Publication statusPublished - Dec 2002
Event41st IEEE Conference on Decision and Control, CDC 2002 - Las Vegas, United States
Duration: 10 Dec 200213 Dec 2002
Conference number: 41

Publication series

Name
PublisherIEEE
Volume2
ISSN (Print)0191-2216

Conference

Conference41st IEEE Conference on Decision and Control, CDC 2002
Abbreviated titleCDC
CountryUnited States
CityLas Vegas
Period10/12/0213/12/02

Keywords

  • Lagrangian and Hamiltonian dynamics
  • EWI-16739
  • Physical Systems
  • Dirac structures
  • Modeling
  • METIS-210902
  • IR-69140

Cite this

Moreau, L., & van der Schaft, A. (2002). Implicit Lagrangian equations and the mathematical modeling of physical systems. In Proceedings of the 41st IEEE Conference on Decision and Control (pp. 1651-1656). Las Vegas, Nevada, U.S.A.: IEEE.
Moreau, Luc ; van der Schaft, Arjan. / Implicit Lagrangian equations and the mathematical modeling of physical systems. Proceedings of the 41st IEEE Conference on Decision and Control. Las Vegas, Nevada, U.S.A. : IEEE, 2002. pp. 1651-1656
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keywords = "Lagrangian and Hamiltonian dynamics, EWI-16739, Physical Systems, Dirac structures, Modeling, METIS-210902, IR-69140",
author = "Luc Moreau and {van der Schaft}, Arjan",
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Moreau, L & van der Schaft, A 2002, Implicit Lagrangian equations and the mathematical modeling of physical systems. in Proceedings of the 41st IEEE Conference on Decision and Control. IEEE, Las Vegas, Nevada, U.S.A., pp. 1651-1656, 41st IEEE Conference on Decision and Control, CDC 2002, Las Vegas, United States, 10/12/02.

Implicit Lagrangian equations and the mathematical modeling of physical systems. / Moreau, Luc; van der Schaft, Arjan.

Proceedings of the 41st IEEE Conference on Decision and Control. Las Vegas, Nevada, U.S.A. : IEEE, 2002. p. 1651-1656.

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

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AU - van der Schaft, Arjan

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KW - Dirac structures

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Moreau L, van der Schaft A. Implicit Lagrangian equations and the mathematical modeling of physical systems. In Proceedings of the 41st IEEE Conference on Decision and Control. Las Vegas, Nevada, U.S.A.: IEEE. 2002. p. 1651-1656