@article{eprints4006,
            year = {2017},
           title = {Periodic Optimal Control, Dissipativity and MPC},
          number = {6},
           pages = {2943--2949},
          volume = {62},
          author = {Mario Zanon and Lars Grune and Moritz Diehl},
       publisher = {IEEE},
         journal = {IEEE Transactions on Automatic Control},
        abstract = {Recent research has established the importance of (strict) dissipativity for proving stability of economic MPC in the case of an optimal steady state. In many cases, though, steady-state operation is not economically optimal and periodic operation of the system yields a better performance. In this technical note, we propose ways of extending the notion of (strict) dissipativity for periodic systems. We prove that optimal P-periodic operation and MPC stability directly follow, similarly to the steady-state case, which can be seen as a special case of the proposed framework. Finally, we illustrate the theoretical results with several simple examples.},
             url = {http://eprints.imtlucca.it/4006/}
}