论文标题
在退化的抛物线方程中，stackelberg策略缺少数据
Stackelberg strategy on a degenerate parabolic equation with missing data
论文作者
论文摘要
本文介绍了对退化抛物线方程的层次控制，而初始条件缺失。我们提出了一种稳定的策略，将无效可控性概念与低纤维控制结合在一起。我们假设我们可以通过一组层次结构控制在系统上行动。称为领导者的主要控件负责零可控性，而第二个名为追随者的控件解决了涉及丢失数据的最佳控制问题。这项工作的主要新颖性是归化系统的新卡尔曼不等式的推导，该系统以标准方式用于显示伴随归化系统的可观察性不平等。
This paper deals with the hierarchic control of a degenerate parabolic equation with missing initial condition. We present a Stackelberg strategy combining the concept of null controllability with low-regret control. We assume that we can act on the system through a set of hierarchic controls. The main control called the leader is in charge of the null controllability while the second control named the follower solves an optimal control problem involving a missing data. The main novelty of this work is the derivation of a new Carleman inequality for a degenerate system, which is used in a standard way to show observability inequality of the adjoint degenerate systems.
