511 2023 eng 149 Automatica article 0 2023-03-01 2023-03-01 -- We analyse the turnpike properties for a general, infinite dimensional, linear-quadratic (LQ) optimal control problem, both in the deterministic and in the stochastic case. The novelty of the paper is twofold. Firstly, it obtains positive turnpike results for systems that are (partially) uncontrollable. Secondly, it provides turnpike results for averaged control associated to a family of problems that depend on a random parameter, which is the first turnpike type result in the averaged controllability framework. in press publish false false Creative Commons - CC BY - Namensnennung 4.0 International Martin Gugat Martin Lazar eng uncontrolled Measure Turnpike eng uncontrolled Averaged Control eng uncontrolled LQ optimal control problem eng uncontrolled Infinite-time admissibility eng uncontrolled Turnpike phenomenon Friedrich-Alexander-Universität Erlangen-Nürnberg C03 C05 https://opus4.kobv.de/opus4-trr154/files/511/GugatLazar_Turnpike.pdf