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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. |
关键词: 抛物型方程 采样控制 允许采样间隔 |
DOI: |
分类号:O231.4 |
基金项目:Supported by the Fundamental Research Funds for the Central Universities, China University of Geosciences (CUGGC05). |
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THE MAXIMIZATION OF THE ADMISSIBLE SAMPLING INTERVAL OF BOUNDARY PROPORTIONAL SAMPLED-DATA FEEDBACKS FOR STABILIZING PARABOLIC EQUATIONS |
WANG Xiang-yu,LIU Han-bing
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Abstract: |
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. |
Key words: parabolic equations sampled-data control admissible sampling interval |