Faulwasser, TimmTimmFaulwasserKorda, MilanMilanKordaJones, ColinColinJonesBonvin, DominiqueDominiqueBonvin2024-03-052024-03-052017-07-01Automatica 81: 297-304 (2017)https://hdl.handle.net/11420/46230This 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.en0005-10982017297304ElsevierConverse turnpike resultsDissipativityEconomic MPCOptimal controlOptimal operation at steady stateTurnpike propertiesComputer SciencesJournal Article10.1016/j.automatica.2017.03.012Other