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