Turnpike properties for partially uncontrollable systems (CROSBI ID 317027)
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Podaci o odgovornosti
Gugat, Martin ; Lazar, Martin
engleski
Turnpike properties for partially uncontrollable systems
We analyse the turnpike properties for a general, infinite dimensional, linear-quadratic (LQ) optimal control problem, in both the deterministic and the parameter dependent 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 optimal averaged control associated to a family of problems that depend on a random parameter, which is the first turnpike type result that extends the averaged controllability approach to optimal control problems. In both cases, the results do not require assumptions on stabilizability and detectability, which are most commonly used in the study of turnpike phenomena.
turnpike phenomenon ; optimal averaged control ; infinite-time admissibility ; infinite-dimensional systems ; optimization under uncertainties
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Podaci o izdanju
149 (C)
2023.
110844
11
objavljeno
0005-1098
1873-2836
doi.org/10.1016/j.automatica.2022.110844