Pontryagin's principle for state-constrained control problems governed by parabolic equations with unbounded controls

Abstract : This paper deals with optimal control problems governed by semilinear parabolic equations with pointwise state constraints and unbounded controls. Under some strong stability assumption, we obtain necessary optimality conditions in the form of a Pontryagin's minimum principle in qualified form. A Pontryagin's principle in nonqualified form is also proved without any stability condition.
Type de document :
Article dans une revue
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 1998, 36 (3), pp.1853-1879. 〈10.1137/S0363012996302470〉
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Soumis le : lundi 11 janvier 2016 - 16:39:12
Dernière modification le : vendredi 14 septembre 2018 - 09:16:06

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Raymond J.P., H. Zidani. Pontryagin's principle for state-constrained control problems governed by parabolic equations with unbounded controls. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 1998, 36 (3), pp.1853-1879. 〈10.1137/S0363012996302470〉. 〈hal-01254040〉

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