| 波方程的边界镇定性的分析(英文) |
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| 引用本文： | 张维韬,冯德兴,王文学. 波方程的边界镇定性的分析(英文)[J]. 应用泛函分析学报, 1999, 0(2) |
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| 作者姓名： | 张维韬 冯德兴 王文学 |
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| 作者单位： | 中国科学院系统科学研究所系统控制实验室!北京100080 |
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| 摘 要： | 利用乘子法研究了带有变系数的波方程的反馈镇定问题．文章中变系数ｑ（ｘ）分为两种情况：（Ｈ_１）ｑ和（Ｈ_２）ｑ．同时还引入了敏感反馈系数和波方程能量的指数衰减域．更为重要的是,本文统一和改善了一些以前已有的结果．
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| 关 键 词： | 乘子法 边界镇定性 波方程 |
Analysis of Boundary Stabilization of the Wave Equation |
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| ZHANG Wei-tao,FENG De-xing,WANG Wen-xue Laboratory of Systems and Control. Analysis of Boundary Stabilization of the Wave Equation[J]. Acta Analysis Functionalis Applicata, 1999, 0(2) |
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| Authors: | ZHANG Wei-tao FENG De-xing WANG Wen-xue Laboratory of Systems Control |
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| Affiliation: | ZHANG Wei-tao,FENG De-xing,WANG Wen-xue Laboratory of Systems and Control,Institute of Systems Science Chinese Academy of Sciences,Beijing 100080,China |
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| Abstract: | Using the multiplier method, we study the boundary feedback stabilization of the wave equa- tion with variable coefficient. In this paper, the variable coefficient q(x) is divided into 2 cases: (H_1)q and (H_2)q. We introduce a sensible feedback coefficient and an exponential decay domain of the energy of the wave equation. Moreover, we unite and improve some earlier results. |
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| Keywords: | multiplier method boundary stabilization the wave equation |
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