Faulwasser, TimmTimmFaulwasserMaschke, BernhardBernhardMaschkePhilipp, FriedrichFriedrichPhilippSchaller, ManuelManuelSchallerWorthmann, KarlKarlWorthmann2024-02-142024-02-142022SIAM Journal on Control and Optimization 60 (4): 2132-2158 (2022)https://hdl.handle.net/11420/45663We consider the singular optimal control problem of minimizing the energy supply of linear dissipative port-Hamiltonian descriptor systems. We study the reachability properties of the system and prove that optimal states exhibit a turnpike behavior with respect to the conservative subspace. Further, we derive a input-state turnpike toward a subspace for optimal control of port-Hamiltonian ordinary differential equations with a feed-through term and a turnpike property for the corresponding adjoint states toward zero. In an appendix we characterize the class of dissipative Hamiltonian matrices and pencils.en1095-71382022421322158Society for Industrial and Applied Mathematics Publicationsdifferential algebraic equationsdissipativityport-Hamitonian systemsturnpike propertiesPhysicsJournal Article10.1137/21M1427723Journal Article