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Journal Articles Journal of Optimization Theory and Applications Year : 1999

Pontryagin's Principle for Time-Optimal Problems

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H. Zidani

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.

Dates and versions

hal-01254047 , version 1 (11-01-2016)

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Jean-Pierre Raymond, H. Zidani. Pontryagin's Principle for Time-Optimal Problems. Journal of Optimization Theory and Applications, 1999, 101 (2), pp.375-402. ⟨10.1023/A:1021793611520⟩. ⟨hal-01254047⟩
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