Existence, uniqueness, and stabilization results for parabolic variational inequalities
Existence, uniqueness, and stabilization results for parabolic variational inequalities
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DOI：
10.1051/cocv/2023017
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发表时间：
2021-04
期刊：
影响因子：
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通讯作者：
Axel Kroner;C. N. Rautenberg;S. Rodrigues
中科院分区：
文献类型：
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作者：
Axel Kroner;C. N. Rautenberg;S. Rodrigues
本文考虑了具有依赖于时间和空间的反应和对流系数的障碍型抛物型变分不等式的反馈镇定，并证明了非平稳轨迹的指数镇定。基于Moreau-Yosida近似，利用有限个（且近似指数一致）致动器建立反馈算子，使状态变量以给定速率指数衰减.几个数值例子解决光滑和非光滑障碍函数。
In this paper we consider feedback stabilization for parabolic variational inequalities of obstacle type with time and space depending reaction and convection coefficients and show exponential stabilization to nonstationary trajectories. Based on a Moreau-Yosida approximation, a feedback oper- ator is established using a finite (and uniform in the approximation index) number of actuators leading to exponential decay of given rate of the state variable. Several numerical examples are presented addressing smooth and nonsmooth obstacle functions.