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 UT3 - 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
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 : Friday, January 10, 2020 - 9:10:01 PM

Links full text

openaccess

Identifiers

Collections

ENSTA | CNRS | INSMI | UNIV-TLSE2 | IMT | TDS-MACS | UNIV-TLSE3 | UT1-CAPITOLE

Citation

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⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

180

Contact

Informations

CCSD