Pontryagin's principle for time-optimal problems

J. P. Raymond; H. Zidani

doi:10.1023/A:1021793611520

Pontryagin's principle for time-optimal problems

J. P. Raymond
, H. Zidani

Université Paul Sabatier

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

41 Citations (Scopus)

Résumé

We consider time-optimal control problems for semilinear parabolic equations with pointwise state constraints and unbounded controls. A Pontryagin's principle is obtained in nonqualified form without any qualification condition. The terminal time, which is a control variable, satisfies an optimality condition, which seems to be new in the context of control problems for partial differential equations.

langue originale	Anglais
Pages (de - à)	375-402
Nombre de pages	28
journal	Journal of Optimization Theory and Applications
Volume	101
Numéro de publication	2
Les DOIs	https://doi.org/10.1023/A:1021793611520
état	Publié - 1 janv. 1999
Modification externe	Oui

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10.1023/A:1021793611520

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title = "Pontryagin's principle for time-optimal problems",

abstract = "We consider time-optimal control problems for semilinear parabolic equations with pointwise state constraints and unbounded controls. A Pontryagin's principle is obtained in nonqualified form without any qualification condition. The terminal time, which is a control variable, satisfies an optimality condition, which seems to be new in the context of control problems for partial differential equations.",

keywords = "Optimal control, Pontryagin's minimum principle, Semilinear parabolic equations, State constraints, Time-optimal problems, Unbounded controls",

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AB - We consider time-optimal control problems for semilinear parabolic equations with pointwise state constraints and unbounded controls. A Pontryagin's principle is obtained in nonqualified form without any qualification condition. The terminal time, which is a control variable, satisfies an optimality condition, which seems to be new in the context of control problems for partial differential equations.

KW - Optimal control

KW - Pontryagin's minimum principle

KW - Semilinear parabolic equations

KW - State constraints

KW - Time-optimal problems

KW - Unbounded controls

UR - https://www.scopus.com/pages/publications/0033244574

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DO - 10.1023/A:1021793611520

M3 - Article

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JO - Journal of Optimization Theory and Applications

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ER -

Pontryagin's principle for time-optimal problems

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