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- W4288320428 abstract "The mathematical modeling of numerous real-world applications results in hierarchical optimization problems with two decision makers where at least one of them has to solve an optimal control problem of ordinary or partial differential equations. Such models are referred to as bilevel optimal control problems. Here, we first review some different features of bilevel optimal control including important applications, existence results, solution approaches, and optimality conditions. Afterwards, we focus on a specific problem class where parameters appearing in the objective functional of an optimal control problem of partial differential equations have to be reconstructed. After verifying the existence of solutions, necessary optimality conditions are derived by exploiting the optimal value function of the underlying parametric optimal control problem in the context of a relaxation approach." @default.
- W4288320428 created "2022-07-28" @default.
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- W4288320428 date "2019-06-19" @default.
- W4288320428 modified "2023-09-28" @default.
- W4288320428 title "Bilevel optimal control: existence results and stationarity conditions" @default.
- W4288320428 doi "https://doi.org/10.48550/arxiv.1906.08026" @default.
- W4288320428 hasPublicationYear "2019" @default.
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