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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Journal of Optimization Theory and Applications, Springer Verlag, 1999, 101 (2), pp.375-402. 〈10.1023/A:1021793611520〉
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Contributeur : Hasnaa Zidani <>
Soumis le : lundi 11 janvier 2016 - 16:43:37
Dernière modification le : mercredi 12 décembre 2018 - 15:27:54

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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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