Bemporad, Alberto and Ferrari-Trecate, Giancarlo and Morari, Manfred
*Observability and controllability of piecewise affine and hybrid systems.*
In:
Decision and Control Conference.
IEEE, Phoenix, Arizona, pp. 3966-3971.
ISBN 0-7803-5250-5
(1999)

Official URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arn...

## Abstract

We prove, in a constructive way, the equivalence between hybrid and piecewise affine systems. By focusing our investigation on the latter class, we show through counter-examples that observability and controllability properties cannot be easily deduced from those of the component linear subsystems. Instead, we propose practical numerical tests based on mixed-integer linear programming

Item Type: | Book Section |
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Identification Number: | 10.1109/CDC.1999.827980 |

Uncontrolled Keywords: | hybrid systems; mixed-integer linear programming; piecewise affine systems; controllability; integer programming; linear programming; linear systems; observability |

Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science T Technology > TJ Mechanical engineering and machinery |

Research Area: | Computer Science and Applications |

Depositing User: | Professor Alberto Bemporad |

Date Deposited: | 27 Jul 2011 09:18 |

Last Modified: | 16 Jul 2014 14:22 |

URI: | http://eprints.imtlucca.it/id/eprint/611 |

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