TY - CHAP Y1 - 2003/12// ID - eprints560 SN - 0-7803-7924-1 PB - IEEE UR - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1273110&isnumber=28482 KW - cost function; nonlinear integer programming; optimal control; optimization variables; state vector; integer programming; nonlinear programming; optimal control; quantisation (signal) A1 - Bemporad, Alberto CY - Maui, Hawaii USA, December 2003 N2 - 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. TI - Multiparametric nonlinear integer programming and explicit quantized optimal control AV - none T2 - Decision and Control Conference SP - 3167 M1 - 3 EP - 3172 ER -