%K cost function; nonlinear integer programming; optimal control; optimization variables; state vector; integer programming; nonlinear programming; optimal control; quantisation (signal)
%A Alberto Bemporad
%D 2003
%L eprints560
%X 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.
%B Decision and Control Conference
%C Maui, Hawaii USA, December 2003
%R 10.1109/CDC.2003.1273110
%J Proc. 42th IEEE Conf. on Decision and Control
%T Multiparametric nonlinear integer programming and explicit quantized optimal control
%P 3167-3172
%V 3
%I IEEE