Exact boundary observability for quasilinear hyperbolic systems

被引：22
|
作者：
Li, Tatsien [1 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2008年 / 14卷 / 04期
关键词：
exact boundary observability; exact boundary controllability; semi-global C-1 solution; mixed initial-boundary value problem; quasilinear hyperbolic system;
D O I：
10.1051/cocv:2008007
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
By means of a direct and constructive method based on the theory of semi-global C-1 solution, the local exact boundary observability is established for one-dimensional first order quasilinear hyperbolic systems with general nonlinear boundary conditions. An implicit duality between the exact boundary controllability and the exact boundary observability is then shown in the quasilinear case.
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页码：759 / 766
页数：8
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