Impulse output rapid stabilization for heat equations
Impulse output rapid stabilization for heat equations
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DOI：
10.1016/j.jde.2017.06.008
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发表时间：
2016-11
期刊：
影响因子：
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通讯作者：
K. Phung;GengshengBB Wang;Yashan Xu
中科院分区：
文献类型：
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作者：
K. Phung;GengshengBB Wang;Yashan Xu
本文的主要目的是为具有Dirichlet边界条件的有界区域Ω中的热方程提供一种新的反馈律。两个约束将是强制性的：首先，控件在Ω的子域和离散时间点上是活动的；其次，在另一个子域和不同的离散时间点进行观测。我们的策略包括连接一次观测估计、最小范数脉冲控制、近似逆源问题和快速输出稳定。
The main aim of this paper is to provide a new feedback law for the heat equations in a bounded domain Ω with Dirichlet boundary condition. Two constraints will be compulsory: First, the controls are active in a subdomain of Ω and at discrete time points; Second, the observations are made in another subdomain and at different discrete time points. Our strategy consists in linking an observation estimate at one time, minimal norm impulse control, approximate inverse source problem and rapid output stabilization.