Pontryagin's Principle for Time-Optimal Problems |
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| Authors: | Raymond J. P. Zidani H. |
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| Affiliation: | (1) Université Paul Sabatier, UMR CNRS MIP, Toulouse, France;(2) Attachée Temporaire d'Éducation et de Recherche, Université Paul Sabatier, UMR CNRS MIP, Toulouse, France |
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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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| Keywords: | Time-optimal problems optimal control semilinear parabolic equations state constraints Pontryagin's minimum principle unbounded controls |
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