Exact boundary controllability of nodal profile for unsteady flows on a tree-like network of open canals

被引：17
|
作者：
Gu, Qilong [1 ]
Li, Tatsien [2 ,3 ,4 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[3] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China
[4] Fudan Univ, Nonlinear Math Modeling & Methods Lab, Shanghai 200433, Peoples R China
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2013年 / 99卷 / 01期
关键词：
Exact boundary controllability; Nodal profile; Tree-like network; Saint-Venant system; LINEAR HYPERBOLIC SYSTEMS;
D O I：
10.1016/j.matpur.2012.06.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The lack of boundary controls is often encountered in practical applications and causes a crucial difficulty for realizing the exact boundary controllability. In this paper, taking the Saint-Venant system as example, by means of a global constructive method based on the theory on the semi-global C-1 solution to quasilinear hyperbolic systems, we establish the exact boundary controllability of nodal profile for unsteady flows on a tree-like network of open canals. The principles of providing the nodal profiles, of choosing the boundary controls and of transferring the boundary controls are presented, respectively. (C) 2012 Elsevier Masson SAS. All rights reserved.
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页码：86 / 105
页数：20
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