relation: http://eprints.imtlucca.it/560/ title: Multiparametric nonlinear integer programming and explicit quantized optimal control creator: Bemporad, Alberto subject: QA Mathematics subject: QA75 Electronic computers. Computer science subject: TJ Mechanical engineering and machinery description: 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. publisher: IEEE date: 2003-12 type: Book Section type: PeerReviewed identifier: 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) relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1273110&isnumber=28482 relation: 10.1109/CDC.2003.1273110