Faulwasser, TimmKorda, MilanJones, ColinBonvin, Dominique2014-03-202014-03-202014-03-20201410.1109/CDC.2014.7039808https://infoscience.epfl.ch/handle/20.500.14299/102079We investigate the turnpike and dissipativity properties of continuous-time optimal control problems. These properties play a key role in the analysis and design of schemes for dynamic real-time optimization and economic model predictive control. We show in a continuous-time setting that dissipativity of a system with respect to a steady state implies the existence of a turnpike at this steady state and optimal stationary operation at this steady state. Furthermore, we investigate the converse statements: We show that the existence of a turnpike at a steady state implies (a) that this steady state is the optimal steady state; and (b) that over an infinite horizon the system is optimally operated at this steady state. We draw upon a numerical example to illustrate our findings.dissipativityturnpike propertydynamic real-time optimizationeconomic model predictive controltext::conference output::conference proceedings::conference paper