Asymptotic stabilization of entropy solutions to scalar conservation laws through a stationary feedback law

Asymptotic stabilization of entropy solutions to scalar conservation laws through a stationary feedback law
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DOI:
10.1016/j.anihpc.2012.12.003
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发表时间:
2013-09
影响因子:
1.9
通讯作者:
Vincent Perrollaz
Vincent Perrollaz
中科院分区:
数学1区
文献类型:
--
作者:
Vincent Perrollaz

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本文研究了一类具有凸通量的标量守恒律在熵解条件下的闭环反馈渐近镇定问题。除了边界数据外,我们还使用了一个额外的控制,它是一个在空间中均匀作用的源项。
In this paper, we study the problem of asymptotic stabilization by closed loop feedback for a scalar conservation law with a convex flux and in the context of entropy solutions. Besides the boundary data, we use an additional control which is a source term acting uniformly in space.