Bemporad, Alberto
*Multiparametric nonlinear integer programming and explicit quantized optimal control.*
In:
Decision and Control Conference.
IEEE, Maui, Hawaii USA, December 2003, pp. 3167-3172.
ISBN 0-7803-7924-1
(2003)

## Abstract

This paper deals with multiparametric nonlinear integer programming problems where the optimization variables belong to a finite set and where the cost function and the constraints depend in an arbitrary nonlinear fashion on the optimization variables and in a linear fashion on the parameters. We examine the main theoretical properties of the optimizer and of the optimum as a function of the parameters, and propose a solution algorithm. The methodology is employed to investigate properties of quantized optimal control laws and optimal performance, and to obtain their explicit representation as a function of the state vector.

Item Type: | Book Section |
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Identification Number: | 10.1109/CDC.2003.1273110 |

Uncontrolled Keywords: | cost function; nonlinear integer programming; optimal control; optimization variables; state vector; integer programming; nonlinear programming; optimal control; quantisation (signal) |

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 09:02 |

Last Modified: | 04 Aug 2011 07:29 |

URI: | http://eprints.imtlucca.it/id/eprint/560 |

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