Thu, 09.11.2023 15:30

RICAM Colloquium - On the bang-bang principle for parabolic control problems

RICAM Colloquium - Optimization and Optimal Control - Prof. Fredi Tröltzsch, TU Berlin

Thursday, November 9, 15:30, SP 416-2

On the bang-bang principle for parabolic control problems

Optimal control problems for the linear heat equation with final observation and pointwise constraints on the control are considered, where the control depends only on the time. It is shown that to each finite number of given switching points, there is a final target such that the optimal objective value is positive, the optimal control is bang bang, and has the desired switching structure. The theory is completed by numerical examples.

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