### Resumé

We focus on a particular aspect of abstraction - partitioning the state space, as existing methods can be applied on the discretized state space to obtain an automata-based model. The contribution of the paper is to show that well-known reduction methods can be used to generate abstract models, which can be used for formal verification.

Originalsprog | Engelsk |
---|---|

Titel | Lagrangian and Hamiltonian Methods for Non Linear Control |

Antal sider | 6 |

Vol/bind | 4 |

Forlag | Elsevier |

Publikationsdato | 2012 |

Udgave | 1 |

Sider | 96-101 |

DOI | |

Status | Udgivet - 2012 |

Begivenhed | 4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control - Bertinoro, Italien Varighed: 29 aug. 2012 → 31 aug. 2012 |

### Workshop

Workshop | 4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control |
---|---|

Land | Italien |

By | Bertinoro |

Periode | 29/08/2012 → 31/08/2012 |

Navn | I F A C Workshop Series |
---|---|

ISSN | 1474-6670 |

### Fingerprint

### Citer dette

*Lagrangian and Hamiltonian Methods for Non Linear Control*(1 udg., Bind 4, s. 96-101). Elsevier. I F A C Workshop Series https://doi.org/10.3182/20120829-3-IT-4022.00049

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*Lagrangian and Hamiltonian Methods for Non Linear Control.*1 udg, bind 4, Elsevier, I F A C Workshop Series, s. 96-101, 4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, Bertinoro, Italien, 29/08/2012. https://doi.org/10.3182/20120829-3-IT-4022.00049

**Abstractions for Mechanical Systems.** / Sloth, Christoffer; Wisniewski, Rafael.

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

TY - GEN

T1 - Abstractions for Mechanical Systems

AU - Sloth, Christoffer

AU - Wisniewski, Rafael

PY - 2012

Y1 - 2012

N2 - This paper proposes a method for discretizing the state space of mechanical systems. This is a first attempt in using reduction techniques for mechanical systems in the partitioning of the state space. The method relies on a combination of transversal and tangential manifolds for the conservative mechanical system. The tangential manifolds are generated using constants of motion, which can be derived from Noether's theorem. The transversal manifolds are subsequently generated on a reduced space, given by the Routhian, via action-angle coordinates. The method fully applies for integrable systems.We focus on a particular aspect of abstraction - partitioning the state space, as existing methods can be applied on the discretized state space to obtain an automata-based model. The contribution of the paper is to show that well-known reduction methods can be used to generate abstract models, which can be used for formal verification.

AB - This paper proposes a method for discretizing the state space of mechanical systems. This is a first attempt in using reduction techniques for mechanical systems in the partitioning of the state space. The method relies on a combination of transversal and tangential manifolds for the conservative mechanical system. The tangential manifolds are generated using constants of motion, which can be derived from Noether's theorem. The transversal manifolds are subsequently generated on a reduced space, given by the Routhian, via action-angle coordinates. The method fully applies for integrable systems.We focus on a particular aspect of abstraction - partitioning the state space, as existing methods can be applied on the discretized state space to obtain an automata-based model. The contribution of the paper is to show that well-known reduction methods can be used to generate abstract models, which can be used for formal verification.

UR - http://www.scopus.com/inward/record.url?scp=84880979168&partnerID=8YFLogxK

U2 - 10.3182/20120829-3-IT-4022.00049

DO - 10.3182/20120829-3-IT-4022.00049

M3 - Article in proceeding

VL - 4

T3 - I F A C Workshop Series

SP - 96

EP - 101

BT - Lagrangian and Hamiltonian Methods for Non Linear Control

PB - Elsevier

ER -