| 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 |
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WANG Xiang-yu, LIU Han-bing
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School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
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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 |
