Implicit Lagrangian equations and the mathematical modeling of physical systems

Luc Moreau; Arjan van der Schaft

doi:10.1109/CDC.2002.1184757

Implicit Lagrangian equations and the mathematical modeling of physical systems

Luc Moreau
, Arjan van der Schaft

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

2 Citations (Scopus)

69 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 language	English
Title of host publication	Proceedings of the 41st IEEE Conference on Decision and Control 2002
Place of Publication	Las Vegas, Nevada, U.S.A.
Publisher	IEEE
Pages	1651-1656
Number of pages	6
ISBN (Print)	0-7803-7516-5
DOIs	https://doi.org/10.1109/CDC.2002.1184757
Publication status	Published - Dec 2002
Event	41st IEEE Conference on Decision and Control, CDC 2002 - Las Vegas, United States Duration: 10 Dec 2002 → 13 Dec 2002 Conference number: 41

Publication series

Name	Proceedings IEEE Conference on Decision and Control
Publisher	IEEE
Number	41
Volume	2002
ISSN (Print)	0191-2216

Conference

Conference	41st IEEE Conference on Decision and Control, CDC 2002
Abbreviated title	CDC
Country/Territory	United States
City	Las Vegas
Period	10/12/02 → 13/12/02

Keywords

Lagrangian and Hamiltonian dynamics
Physical systems
Dirac structures
Modeling
n/a OA procedure

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10.1109/CDC.2002.1184757

Cite this

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title = "Implicit Lagrangian equations and the mathematical modeling of physical systems",

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.",

keywords = "Lagrangian and Hamiltonian dynamics, Physical systems, Dirac structures, Modeling, n/a OA procedure",

author = "Luc Moreau and \{van der Schaft\}, Arjan",

year = "2002",

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doi = "10.1109/CDC.2002.1184757",

language = "English",

isbn = "0-7803-7516-5",

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number = "41",

pages = "1651--1656",

booktitle = "Proceedings of the 41st IEEE Conference on Decision and Control 2002",

address = "United States",

note = "41st IEEE Conference on Decision and Control, CDC 2002, CDC ; Conference date: 10-12-2002 Through 13-12-2002",

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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 2002. Proceedings IEEE Conference on Decision and Control, no. 41, vol. 2002, IEEE, Las Vegas, Nevada, U.S.A., pp. 1651-1656, 41st IEEE Conference on Decision and Control, CDC 2002, Las Vegas, Nevada, United States, 10/12/02. https://doi.org/10.1109/CDC.2002.1184757

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 2002. Las Vegas, Nevada, U.S.A.: IEEE, 2002. p. 1651-1656 (Proceedings IEEE Conference on Decision and Control; Vol. 2002, No. 41).

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

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T1 - Implicit Lagrangian equations and the mathematical modeling of physical systems

AU - Moreau, Luc

AU - van der Schaft, Arjan

N1 - Conference code: 41

PY - 2002/12

Y1 - 2002/12

N2 - 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.

AB - 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.

KW - Lagrangian and Hamiltonian dynamics

KW - Physical systems

KW - Dirac structures

KW - Modeling

KW - n/a OA procedure

U2 - 10.1109/CDC.2002.1184757

DO - 10.1109/CDC.2002.1184757

M3 - Conference contribution

SN - 0-7803-7516-5

T3 - Proceedings IEEE Conference on Decision and Control

SP - 1651

EP - 1656

BT - Proceedings of the 41st IEEE Conference on Decision and Control 2002

PB - IEEE

CY - Las Vegas, Nevada, U.S.A.

T2 - 41st IEEE Conference on Decision and Control, CDC 2002

Y2 - 10 December 2002 through 13 December 2002

ER -

Implicit Lagrangian equations and the mathematical modeling of physical systems

Abstract

Publication series

Conference

Keywords

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