@incollection{eprints560,
          author = {Alberto Bemporad},
           title = {Multiparametric nonlinear integer programming and explicit quantized optimal control},
       booktitle = {Decision and Control Conference},
          volume = {3},
            year = {2003},
         address = {Maui, Hawaii USA, December 2003},
           month = {December},
         journal = {Proc. 42th IEEE Conf. on Decision and Control},
       publisher = {IEEE},
           pages = {3167--3172},
             url = {http://eprints.imtlucca.it/560/},
        keywords = {cost function; nonlinear integer programming; optimal control; optimization variables; state vector; integer programming; nonlinear programming; optimal control; quantisation (signal)},
        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.}
}