# Well-posedness of the complementarity class of hybrid systems

Heemels, W.P.M.H.
and
Camlıbel, M.K.
and
Schaft, A.J. van der
and
Schumacher, J.M.
(2002)
*Well-posedness of the complementarity class of hybrid systems.*
In: 15th IFAC World Congress, 21-26 July 2002, Barcelona, Spain (pp. pp. 1218-1223).

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Abstract: | 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 di?erential equations and a speci?c combination of inequalities and Boolean expressions as appearing in the linear complementarity problem of mathematical programming. |

Item Type: | Conference or Workshop Item |

Copyright: | © 2002 IFAC |

Faculty: | Electrical Engineering, Mathematics and Computer Science (EEMCS) |

Research Group: | |

Link to this item: | http://purl.utwente.nl/publications/69132 |

Official URL: | http://www.ifac-papersonline.net/Detailed/26189.html |

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