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.
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https://hal-ensta-paris.archives-ouvertes.fr//hal-01254047
Contributor : Hasnaa Zidani <>
Submitted on : Monday, January 11, 2016 - 4:43:37 PM
Last modification on : Thursday, October 17, 2019 - 8:57:26 AM

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

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