论文标题
使用力矩方法的线性稳定库拉莫托 - 苏瓦辛斯基系统的无效可控性
Null controllability of the linear Stabilized Kuramoto-Sivashinsky system using moment method
论文作者
论文摘要
本文讨论了耦合的抛物线系统的无效可控性，该系统是库拉莫托 - 苏瓦辛斯基 - 科特维格 - de vries方程，并通过一阶导数加热方程。更准确地说，我们证明了系统的无效双线内部内部控制作用于耦合系统的任何一个组件上，并且具有单个周期性边界控制通过任一组分的零阶衍生物作用。我们采用众所周知的方法来研究相关系统的可控性。
This paper deals with the null controllability of a coupled parabolic system, which is Kuramoto-Sivashinsky-Korteweg-de Vries equation coupled with heat equation through first order derivative. More precisely, we prove the null controllability of the system with a single localized bilinear interior control acting on either of the components of the coupled system, and with a single periodic boundary control acting through zeroth order derivatives of either of the components. We employ the well-known moment method to study the controllability of the concerned system.
