论文标题
非自主线性抛物线式方程的稳定：倾斜的投影与Riccati反馈
Stabilization of nonautonomous linear parabolic-like equations: oblique projections versus Riccati feedbacks
论文作者
论文摘要
基于投影的反馈稳定性导致文献的稳定性扩展到更大类别的反应反应项。进行了讨论，包括显式倾斜预测基础反馈控制与基于Riccati的反馈控制之间的比较。每种反馈的优点和局限性及其有限元素的实现及其实现。给出了数值模拟的结果，以比较其在时间周期动力学情况下的稳定性能。结果表明，可以迭代地计算基于Riccati的周期性反馈的解决方案。
An oblique projections based feedback stabilizability result in the literature is extended to a larger class of reaction-convection terms. A discussion is presented including a comparison between explicit oblique projections base feedback controls and Riccati based feedback controls. Advantages and limitations of each type of feedback are addressed as well as their finite-elements implementation. Results of numerical simulations are presented comparing their stabilizing performances for the case of time-periodic dynamics. It is shown that the solution of the periodic Riccati based feedback can be computed iteratively.
