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Article Dans Une Revue Journal of Differential Equations Année : 2018

NECESSARY OPTIMALITY CONDITIONS FOR INFINITE DIMENSIONAL STATE CONSTRAINED CONTROL PROBLEMS

Résumé

This paper is concerned with first order necessary optimality conditions for state constrained control problems in separable Banach spaces. Assuming inward pointing conditions on the constraint, we give a simple proof of Pontryagin maximum principle, relying on infinite dimensional neighbouring feasible trajectories theorems proved in [20]. Further, we provide sufficient conditions guaranteeing normality of the maximum principle. We work in the abstract semigroup setting, but nevertheless we apply our results to several concrete models involving controlled PDEs. Pointwise state constraints (as positivity of the solutions) are allowed.
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Dates et versions

hal-02126109 , version 1 (10-05-2019)

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  • HAL Id : hal-02126109 , version 1

Citer

Hélène Frankowska, E M Marchini, M Mazzola. NECESSARY OPTIMALITY CONDITIONS FOR INFINITE DIMENSIONAL STATE CONSTRAINED CONTROL PROBLEMS. Journal of Differential Equations, 2018, 264, pp.7294-7327. ⟨hal-02126109⟩
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