Philipp, FriedrichFriedrichPhilippSchaller, ManuelManuelSchallerWorthmann, KarlKarlWorthmannFaulwasser, TimmTimmFaulwasserMaschke, BernhardBernhardMaschke2024-11-012024-11-012024-10-26Systems and Control Letters 194: 105942 (2024)https://hdl.handle.net/11420/49924We consider irreversible and coupled reversible–irreversible nonlinear port-Hamiltonian systems and the respective sets of thermodynamic equilibria. In particular, we are concerned with optimal state transitions and output stabilization on finite-time horizons. We analyze a class of optimal control problems, where the performance functional can be interpreted as a linear combination of energy supply, entropy generation, or exergy supply. Our results establish the integral turnpike property towards the set of thermodynamic equilibria providing a rigorous connection of optimal system trajectories to optimal steady states. Throughout the paper, we illustrate our findings by means of two examples: a network of heat exchangers and a gas-piston system.en1872-79562024Elsevierhttps://creativecommons.org/licenses/by-nc-nd/4.0/DissipativityEnergyEntropyExergyManifold turnpikeOptimal controlPassivityPort-Hamiltonian systemsThermodynamicsTurnpike propertyNatural Sciences and Mathematics::530: PhysicsNatural Sciences and Mathematics::510: MathematicsTechnology::621: Applied PhysicsJournal Article10.15480/882.1360810.1016/j.sysconle.2024.10594210.15480/882.13608Journal Article