In this paper, we study the hierarchic control problem for a linear system of a population dynamics model with an unknown birth rate. Using the notion of low-regret control and an adapted observability inequality of Carleman type, we show that there exist two controls such that, the first control called follower solves an optimal control problem which consists in bringing the state of the linear system to the desired state, and the second one named leader is supposed to lead the population to extinction at final time.

中文翻译：

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缺失出生率的种群动力学模型的鲁棒层次控制

在本文中，我们研究了具有未知出生率的种群动力学模型的线性系统的分层控制问题。使用低后悔控制和自适应的Carleman型可观察性不等式的概念，我们表明存在两个控制，因此，第一个称为跟随器的控制解决了一个最优控制问题，该问题在于将线性系统的状态带到所需的状态。州，第二位被任命为领导人的人应该在最后时刻导致人口灭绝。