Faulwasser, TimmKorda, MilanJones, ColinBonvin, Dominique2017-07-102017-07-102017-07-10201710.1016/j.automatica.2017.03.012https://infoscience.epfl.ch/handle/20.500.14299/138924WOS:0004035139000341509.07315This paper investigates the relations between three different properties, which are of importance in optimal control problems: dissipativity of the underlying dynamics with respect to a specific supply rate, optimal operation at steady state, and the turnpike property. We show in a continuous-time setting that if along optimal trajectories a strict dissipation inequality is satisfied, then this implies optimal operation at this steady state and the existence of a turnpike at the same steady state. Finally, we establish novel converse turnpike results, i.e., we show that the existence of a turnpike at a steady state implies optimal operation at this steady state and dissipativity with respect to this steady state. We draw upon a numerical example to illustrate our findings. (C) 2017 Elsevier Ltd. All rights reserved.DissipativityTurnpike propertiesConverse turnpike resultsOptimal operation at steady stateOptimal controlEconomic MPCtext::journal::journal article::research article