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

Research output: Contribution to journal › Article › peer-review

41 Citations (Scopus)

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.

Original language	English
Pages (from-to)	375-402
Number of pages	28
Journal	Journal of Optimization Theory and Applications
Volume	101
Issue number	2
DOIs	https://doi.org/10.1023/A:1021793611520
Publication status	Published - 1 Jan 1999
Externally published	Yes

Keywords

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

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10.1023/A:1021793611520

Cite this

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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.",

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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

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ER -

Pontryagin's principle for time-optimal problems

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Keywords

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