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arXiv · 2411.07723

Second-order Optimality Conditions for Time-Optimal Control Problems Governed by Semilinear Parabolic Equations

Huynh Khanh·Bui Trong Kien·Arnd Rösch
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Abstract

A class of time-optimal control problems governed by semilinear parabolic equations with mixed pointwise constraints and final point constraints is considered. By introducing the so-called locally optimal solution to time-optimal control problems, we establish first and second-order necessary optimality conditions of KKT-type and second-order sufficient conditions for locally optimal solutions to the problem.

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Huynh Khanh, Bui Trong Kien, Arnd Rösch. 2024-11-12. Second-order Optimality Conditions for Time-Optimal Control Problems Governed by Semilinear Parabolic Equations. https://arxiv.org/abs/2411.07723

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