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

Raymond J.P.; H. Zidani

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

Raymond J.P. ^{1, 2} H. Zidani

1 IMT - Institut de Mathématiques de Toulouse UMR5219

2 UPS - Université Toulouse III - Paul Sabatier

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.

Keywords : Pontryagin principle Parabolic equations optimal control problems pointwise state constraints

Document type :

Journal articles

Domain :

Mathematics [math] / Optimization and Control [math.OC]

Complete list of metadatas

https://hal-ensta-paris.archives-ouvertes.fr//hal-01254040
Contributor : Hasnaa Zidani <>
Submitted on : Monday, January 11, 2016 - 4:39:12 PM
Last modification on : Thursday, October 17, 2019 - 8:57:40 AM

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

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

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