@incollection{eprints553,
       publisher = {Elsevier},
         journal = {IFAC Conf. on Analysis and Design of Hybrid Systems},
          author = {Alberto Bemporad and Daniele Corona and Alessandro Giua and Carla Seatzu},
            year = {2003},
       booktitle = {Analysis and design of hybrid systems 2003: a proceedings volume from the IFAC conference},
           title = {Optimal state-feedback quadratic regulation of linear hybrid automata},
          editor = {Sebastian  Engell and Herve  Gueguen and Janan  Zaytoon},
           pages = {369--378},
             url = {http://eprints.imtlucca.it/553/},
        abstract = {For linear hybrid automata, namely switched linear autonomous systems whose mode of operation is determined by a controlled automaton, in this paper we face the problem of optimal control, where the objective is to minimize a quadratic performance index over an infinite time horizon. The quantities to be optimized are the sequence of switching times and the sequence of modes (or ?locations?), under the following constraints: the sequence of modes has a finite length; the discrete dynamics of the automaton restricts the possible switches from a given location to
the next location, with a cost associated to each switch; the time interval between two consecutive switching times is greater than a fixed quantity. We show how a state-feedback solution can be computed off-line through a numerical procedure.},
        keywords = {hybrid systems; switched systems; hybrid automata; optimal control}
}