@article{eprints455,
           month = {May},
          volume = {51},
           pages = {726--741},
          number = {5},
           title = {Optimal control of continuous-time switched affine systems},
            year = {2006},
       publisher = {IEEE },
         journal = {IEEE Transactions on Automatic Control },
          author = {Carla Seatzu and Daniele Corona and Alessandro Giua and Alberto Bemporad},
        abstract = {This paper deals with optimal control of switched piecewise affine autonomous systems, where the objective is to minimize a performance index over an infinite time horizon. We assume that the switching sequence has a finite length, and that the decision variables are the switching instants and the sequence of operating modes. We present two different approaches for solving such an optimal control problem. The first approach iterates between a procedure that finds an optimal switching sequence of modes, and a procedure that finds the optimal switching instants. The second approach is inspired by dynamic programming and identifies the regions of the state space where an optimal mode switch should occur, therefore providing a state feedback control law.},
             url = {http://eprints.imtlucca.it/455/},
        keywords = {continuous-time switched affine system; dynamic programming; infinite time horizon; optimal control; performance index; state feedback control; switched piecewise affine autonomous system; continuous time systems; dynamic programming; infinite horizon; optimal control; performance index; state feedback; state-space methods; time-varying systems}
}