星状河渠网络中非稳定流的精确边界能控性  

Exact Boundary Controllability of Unsteady Flows in Starlike Network

作　　者：史琨 于立新[1] SHI Kun;YU Li-xin(School of Mathematics and Information Sciences,Yantai University,Yantai 264005,China)

机构地区：[1]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2022年第2期134-141,146,共9页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(12071258)。

摘　　要：本文考虑了非稳定星状河渠网络的精确边界能控性问题。当河渠网络的初始条件和终端条件给定,我们可以通过仅在复结点施加控制,或者在复结点与部分简单结点任意分配控制个数,实现河渠网络的精确边界能控性。In this paper, we consider the application of exact boundary controllability for unsteady flows in a starlike network of open canals. When the initial state and final state of the open canals are given, we can use the boundary controls at multiple node of unsteady flows or arbitrarily assign the number of control between the multiple node and simple nodes.

关 键 词：拟线性双曲型方程组 Saint-Venant方程组 精确边界能控性 

分 类 号：O175.2[理学—数学]