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# Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints

Abstract : This paper deals with optimal control problems of semilinear parabolic equations with pointwise state constraints and coupled integral state-control constraints. We obtain necessary optimality conditions in the form of a Pontryagin's minimum principle for local solutions in the sense of $L^p$, $p \leq +\infty$.
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Journal articles

https://hal-ensta-paris.archives-ouvertes.fr/hal-01254063
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Submitted on : Monday, January 11, 2016 - 4:56:28 PM
Last modification on : Tuesday, October 25, 2022 - 11:58:11 AM

### Citation

Eduardo Casas, Jean-Pierre Raymond, H. Zidani. Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints . SIAM Journal on Control and Optimization, 2000, 39 (4), pp.1182-1203. ⟨10.1137/S0363012998345627⟩. ⟨hal-01254063⟩

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