Strong Optimal Controls in a Steady-State Problem of Complex Heat Transfer

Abstract : An optimal control problem of steady-state complex heat transfer with monotone objective functionals is under consideration. A coefficient function appearing in boundary conditions and reciprocally corresponding to the reflection index of the domain surface is considered as control. The concept of strong maximizing (resp. strong minimizing) optimal controls, i.e. controls that are optimal for all monotone objective functionals, is introduced. The existence of strong optimal controls is proven, and optimality conditions for such controls are derived. An iterative algorithm for computing strong optimal controls is proposed.
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Alexander Chebotarev, Andrey Kovtanyuk, Nikolai Botkin, Karl-Heinz Hoffmann. Strong Optimal Controls in a Steady-State Problem of Complex Heat Transfer. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.209-219, ⟨10.1007/978-3-319-55795-3_19⟩. ⟨hal-01626918⟩

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