EXACT CONTROLLABILITY OF SCALAR CONSERVATION LAWS WITH AN ADDITIONAL CONTROL IN THE CONTEXT OF ENTROPY SOLUTIONS

被引：18
|
作者：
Perrollaz, Vincent [1 ]
机构：
[1] Univ Paris 06, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2012年 / 50卷 / 04期
关键词：
entropy solution; conservation law; controllability; SHALLOW-WATER EQUATIONS; HUNTER-SAXTON EQUATION; CAMASSA-HOLM EQUATION; ASYMPTOTIC STABILIZATION; GENERALIZED CHARACTERISTICS; UNIFORM CONTROLLABILITY; GLOBAL-SOLUTIONS; BOUNDARY CONTROL; ATTAINABLE SET; WEAK SOLUTIONS;
D O I：
10.1137/110833129
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we study the exact controllability problem for nonlinear scalar conservation laws on a compact interval with a regular convex flux and in the framework of entropy solutions. With the boundary data and a source term depending only on the time as controls, we provide sufficient conditions for a state to be reachable in arbitrary small time. To do so we introduce a slightly modified wave-front tracking algorithm.
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页码：2025 / 2045
页数：21
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