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Journal Articles SIAM Journal on Control and Optimization Year : 2000

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 $L^p$, $p \leq +\infty$.

Dates and versions

hal-01254063 , version 1 (11-01-2016)

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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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