### Abstract

Original language | English |
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Title of host publication | Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control (IFAC202), 21-26 June 2002, Barcelona, Spain |

Editors | E.F. Camacho, L. Basanez |

Place of Publication | Oxford |

Publisher | Pergamon |

ISBN (Print) | 0-08-044295-1 |

Publication status | Published - 2002 |

Event | 15th World Congress of the International Federation of Automatic Control, 2002 - Barcelona, Spain Duration: 21 Jul 2002 → 26 Jul 2002 Conference number: 15 |

### Conference

Conference | 15th World Congress of the International Federation of Automatic Control, 2002 |
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Abbreviated title | IFAC 2002 |

Country | Spain |

City | Barcelona |

Period | 21/07/02 → 26/07/02 |

### Fingerprint

### Cite this

*Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control (IFAC202), 21-26 June 2002, Barcelona, Spain*Oxford: Pergamon.

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*Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control (IFAC202), 21-26 June 2002, Barcelona, Spain.*Pergamon, Oxford, 15th World Congress of the International Federation of Automatic Control, 2002, Barcelona, Spain, 21/07/02.

**Well-posedness of the complementarity class of hybrid systems.** / Heemels, W.P.M.H.; Camlibel, M.K.; Schaft, van der, A.J.; Schumacher, J.M.

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

TY - GEN

T1 - Well-posedness of the complementarity class of hybrid systems

AU - Heemels, W.P.M.H.

AU - Camlibel, M.K.

AU - Schaft, van der, A.J.

AU - Schumacher, J.M.

PY - 2002

Y1 - 2002

N2 - One of the most fundamental properties of any class of dynamical systems is the study of well-posedness, i.e. the existence and uniqueness of a particular type of solution trajectories given an initial state. In case of interaction between continuous dynamics and discrete transitions this issue becomes highly non-trivial. In this survey an overview is given of the well-posedness results for complementarity systems, which form a class of hybrid systems described by the interconnection of differential equations and a specific combination of inequalities and Boolean expressions as appearing in the linear complementarity problem of mathematical programming.

AB - One of the most fundamental properties of any class of dynamical systems is the study of well-posedness, i.e. the existence and uniqueness of a particular type of solution trajectories given an initial state. In case of interaction between continuous dynamics and discrete transitions this issue becomes highly non-trivial. In this survey an overview is given of the well-posedness results for complementarity systems, which form a class of hybrid systems described by the interconnection of differential equations and a specific combination of inequalities and Boolean expressions as appearing in the linear complementarity problem of mathematical programming.

M3 - Conference contribution

SN - 0-08-044295-1

BT - Proceedings of the 15th Triennial World Congress of the International Federation of Automatic Control (IFAC202), 21-26 June 2002, Barcelona, Spain

A2 - Camacho, E.F.

A2 - Basanez, L.

PB - Pergamon

CY - Oxford

ER -