摘要
本文研究了抛物型方程的边界采样反馈镇定问题.采用模态分解的方法,我们证明了存在边界比例采样反馈,使得一类抛物型方程局部指数稳定,并且该反馈的允许采样间隔在所有可行的比例采样反馈中是最大的.
In this paper,we study the problem of boundary sampled-data feedback stabilization for parabolic equations.By using modal decomposition,we show that there exists boundary proportional sampled-data feedback locally exponentially stabilize a class of parabolic equations,and the admissible sampling interval of this feedback is maximal among all feasible proportional sampled-data feedbacks.
作者
王翔宇
刘汉兵
WANG Xiang-yu;LIU Han-bing(School of Mathematics and Physics,China University of Geosciences,Wuhan 430074,China)
出处
《数学杂志》
2022年第3期205-216,共12页
Journal of Mathematics
基金
Supported by the Fundamental Research Funds for the Central Universities,China University of Geosciences(CUGGC05)。
关键词
抛物型方程
采样控制
允许采样间隔
parabolic equations
sampled-data control
admissible sampling interval
