论文标题
对退化结构化种群模型的无效可控性
Null Controllability for a Degenerate Structured Population Model
论文作者
论文摘要
在本文中，我们考虑了无限维度线性控制系统，描述了按年龄，大小和空间位置构成的种群模型。扩散系数在域或两个极端点的点上退化。此外，控件位于空间变量以及年龄和大小中。对于每个控制支持，我们估算控制系统所需的时间为零。我们通过使用一种避免明确使用抛物线寄生虫估计的技术来建立模型的无效可控性。实际上，我们的论点依赖于将最终态观察性估计与使用特征方法相结合的方法。
In this paper, we consider the infinite dimensional linear control system describing population models structured by age, size, and spatial position. The diffusion coefficient is degenerate at a point of the domain or both extreme points. Moreover, the control is localized in the space variable as well as with respect to the age and size. For each control support, we give an estimate of the time needed to control the system to zero. We establish the null controllability of the model by using a technique that avoids the explicit use of parabolic Carleman estimates. Indeed, our argument relies on a method that combines final-state observability estimates with the use of the characteristic method.
