论文标题
人口动态的可控性和阳性限制，年龄，大小结构和扩散
Controllability and Positivity Constraints in Population Dynamics with age, size Structuring and Diffusion
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，大小和空间位置构建的人群模型。该控件位于空间变量以及年龄和大小方面。对于每个控制支持，我们估算控制系统所需的时间为零。我们使用一项技术证明了模型的无效可控性，可以避免明确使用抛物线卡勒曼估计。实际上，该方法将最终状态可观察性估计与使用特性以及相关半群的$ l^{\ infty} $估计值结合在一起。
In this article, we consider the infinite dimensional linear control system describing the Population Models Structured by Age, Size, and Spatial Position. 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 prove the null controllability of the model, using a technique avoids the explicit use of parabolic Carleman estimates. Indeed, this method combines final-state observability estimates with the use of characteristics and with $L^{\infty}$ estimates of the associated semigroup.
