Pontryagin's Principle for Time-Optimal Problems

J. P. Raymond and H. Zidani
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J. P. Raymond: Université Paul Sabatier, UMR CNRS MIP
H. Zidani: Université Paul Sabatier, UMR CNRS MIP

Journal of Optimization Theory and Applications, 1999, vol. 101, issue 2, No 7, 375-402

Abstract: 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.

Keywords: Time-optimal problems; optimal control; semilinear parabolic equations; state constraints; Pontryagin's minimum principle; unbounded controls (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (4)

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DOI: 10.1023/A:1021793611520

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