| 具有Voigt类结构阻尼的Euler-Bernoulli梁的边界控制 |
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| 引用本文： | 徐建国.具有Voigt类结构阻尼的Euler-Bernoulli梁的边界控制[J].佛山科学技术学院学报(自然科学版),1997(2). |
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| 作者姓名： | 徐建国 |
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| 作者单位： | 佛山大学教务处 |
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| 基金项目： | 国家自然科学基金,广东省自然科学基金,航空科学基金 |
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| 摘 要： | 以末端形变线速度和形变角速度作为反馈信息，给出了具有Ｖｏｉｇｔ类结构阻尼的ＥｕｌｅｒＢｅｒｎｏｕｌｉ梁的边界控制律；利用算子半群理论并构造系统的“拟能量”Ｌｙａｐｕｎｏｖ泛函，得到了受控系统能量指数衰减和系统指数镇定的结论
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| 关 键 词： | Euler-Bernouli梁 结构阻尼 边界控制 指数渐近稳定 |
Boundary Control of Euler Bernoulli Beam with Structural Damping of Voigt Type |
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| Xu Jianguo.Boundary Control of Euler Bernoulli Beam with Structural Damping of Voigt Type[J].Journal of Foshan University(Natural Science Edition),1997(2). |
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| Authors: | Xu Jianguo |
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| Institution: | Xu Jianguo * |
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| Abstract: | In this paper, the laws of boundary control of Euler Bernoulli beam with structural damping of Voigt type have been given with feedback information from the end point deflection velocity and deflection angular velocity of the beam. By means of semigroups theory of operators and structuring Lyapunov quasi-energy functional of the system, the conclusions have been obtained that the controlled system exponentially decays and the system can be exponentially stabilized. |
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| Keywords: | Euler Bernoulli beam Structural damping Boundary control Exponentially asymptotic stability |
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