| Nonlinear Boundary Stabilization of Nonuniform Timoshenko Beam |
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| 作者姓名： | Qing-xuYan Hui-chaoZou De-xingFeng |
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| 作者单位： | [1]InformationEngineeringSchool,ChinaGeoscienceUniversity,Beijing100083,China [2]DepartmentofMathematicsandComputerScience,YantaiTeachersCollege,Yantai264025,China [3]InstituteofSystemsScience,AcademyofMathematicsandSystemSciences,ChineseAcademyofSciences,Beijing100080,China |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant No.60174008). |
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| 摘 要： | In this paper, the stabilization problem of nonuniform Timoshenko beam by some nonlinear boundary feedback controls is considered. By virtue of nonlinear semigroup theory, energy-perturbed approach and exponential multiplier method, it is shown that the vibration of the beam under the proposed control actiondecays exponentially or in negative power of time t as t→∞.
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| 关 键 词： | 非线性边界稳定 非一致Timoshenko梁 反馈控制 半群 能量摄动 指数乘数法 振动 |
Nonlinear Boundary Stabilization of Nonuniform
Timoshenko Beam |
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| Qing-xuYan Hui-chaoZou De-xingFeng.Nonlinear Boundary Stabilization of Nonuniform Timoshenko Beam[J].Acta Mathematicae Applicatae Sinica,2003,19(2):239-246. |
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| Authors: | Qing-xu?Yan Hui-chao?Zou Email author" target="_blank">De-xing?FengEmail author |
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| Institution: | (1) Information Engineering School, China Geoscience University, Beijing 100083, China, CN;(2) Department of Mathematics and Computer Science, Yantai Teachers College, Yantai 264025, China, CN;(3) Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China (E-mail: dxfeng@mail.iss.ac.cn), CN |
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| Abstract: | |
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| Keywords: | Timoshenko beam boundary feedback stabilization nonlinear semigroups exponential multiplier energy perturbed method |
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