The paper is devoted to the Stackelberg control of a linear parabolic equation with missing initial condition. The strategy involves two controls called follower and leader. The objective of the follower is to bring the state to a desired state while the leader has to bring the system to rest at the final time. The results are obtained by means of Fenchel–Legendre transform and appropriate Carleman inequalities.

中文翻译：

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缺少数据的线性热方程的分层控制

本文致力于缺少初始条件的线性抛物方程的Stackelberg控制。该策略涉及两个控件，称为跟随者和领导者。跟随者的目标是使状态达到所需状态，而领导者必须使系统在最后时刻处于静止状态。通过Fenchel-Legendre变换和适当的Carleman不等式获得结果。