### Abstract

Original language | Undefined |
---|---|

Title of host publication | Proceedings of the 41st IEEE Conference on Decision and Control |

Place of Publication | Las Vegas, Nevada, U.S.A. |

Publisher | IEEE |

Pages | 1651-1656 |

Number of pages | 6 |

ISBN (Print) | 0-7803-7516-5 |

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 | |
---|---|

Publisher | IEEE |

Volume | 2 |

ISSN (Print) | 0191-2216 |

### Conference

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

Abbreviated title | CDC |

Country | United States |

City | Las Vegas |

Period | 10/12/02 → 13/12/02 |

### Keywords

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

### Cite this

*Proceedings of the 41st IEEE Conference on Decision and Control*(pp. 1651-1656). Las Vegas, Nevada, U.S.A.: IEEE.

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*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.

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

TY - GEN

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

AU - Moreau, Luc

AU - van der Schaft, Arjan

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 - EWI-16739

KW - Physical Systems

KW - Dirac structures

KW - Modeling

KW - METIS-210902

KW - IR-69140

M3 - Conference contribution

SN - 0-7803-7516-5

SP - 1651

EP - 1656

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

PB - IEEE

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

ER -