| 具有Neumann边界的抛物型方程组的反馈能稳性 |
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| 引用本文： | 董旺远.具有Neumann边界的抛物型方程组的反馈能稳性[J].数学物理学报(A辑),2008,28(6):1133-1149. |
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| 作者姓名： | 董旺远 |
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| 作者单位： | 华中农业大学理学院,武汉430070 |
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| 基金项目： | 国家自然科学基金(60574017)和华中农业大学博士科研启动金(52204-07119)资助 |
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| 摘 要： | 该文研究了一类半线性抛物型方程组平衡解的有限维反馈能稳性, 控制器由对应于平衡解的线性化系统的LQ问题所导出. 该文发现在受控系统中如何施加控制是与平衡解有关的, 对于不同的平衡解, 在受控系统中应施加不同的控制.
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| 关 键 词： | 能稳性 抛物系统 平衡解 Riccati方程 反馈控制 |
| 收稿时间： | 2006-10-30 |
| 修稿时间： | 2007-05-10 |
Feedback Stabilization of a Class of Parabolic Systems with Neumann Boundary Conditions |
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| Dong Wangyuan.Feedback Stabilization of a Class of Parabolic Systems with Neumann Boundary Conditions[J].Acta Mathematica Scientia,2008,28(6):1133-1149. |
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| Authors: | Dong Wangyuan |
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| Institution: | (College of Science, Huazhong Agriculture University, Wuhan 430070) |
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| Abstract: | In this paper, the author studies internal stabilization of steady-state solutions to a class of semi-linear parabolic systems including three equations via finite-dimensional feedback controllers. The main idea is to use different internal controllers to stabilize different steady-state solutions. The controllers are provided by considering LQ problems associated with the linearized systems at steady-state solutions, and they are added to one, two or three equations, depending on the considered steady-state solutions. |
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| Keywords: | Stabilizationzz Parabolic systemzz Steady-state solutionzz Riccati equationzz Feedback controllerzz |
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