Feedback stabilization of periodic solutions to nonlinear parabolic-like evolution systems
Feedback stabilization of periodic solutions to nonlinear parabolic-like evolution systems
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DOI：
10.1512/iumj.2005.54.2663
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发表时间：
2005
影响因子：
1.1
通讯作者：
V. Barbu;GengshengBB Wang
中科院分区：
文献类型：
--
作者：
V. Barbu;GengshengBB Wang
这项工作涉及抛物型半线性演化方程 y 0 CAy CBNt;yO E Du 的周期解的稳定性。主要结果表明，在 D 范围内的适当条件下，任何平滑周期解都可以通过线性控制系统提供的线性反馈控制器来稳定。给出了纳维-斯托克斯方程和半线性抛物线方程的应用。
This work is concerned with the stabilization of pe- riodic solutions to semilinear evolution equations of parabolic type y 0 CAy CBNt;yO E Du. The main result amounts to saying that under appropriate conditions on the range ofD any smooth periodic solution is stabilizable by a linear feedback con- troller provided by the linearized control system. Applications to Navier-Stokes and semilinear parabolic equations are given.