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arXiv · 1610.06149

Robust Stackelberg controllability for a parabolic equation

Víctor Hernández-Santamaría·Luz de Teresa
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Abstract

The aim of this paper is to perform a Stackelberg strategy to control parabolic equations. We have one control, \textit{the leader}, that is responsible for a null controllability property; additionally, we have a control \textit{the follower} that solves a robust control objective. That means, that we seek for a saddle point of a cost functional. In this way, the follower control is not sensitive to a broad class of external disturbances. As far as we know, the idea of combining robustness with a Stackelberg strategy is new in literature

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Víctor Hernández-Santamaría, Luz de Teresa. 2016-10-19. Robust Stackelberg controllability for a parabolic equation. https://arxiv.org/abs/1610.06149

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