Exponential decay of Timoshenko beam with locally distributed feedback |
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| Authors: | Shi, Dong-Hua Feng, De-Xing |
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| Affiliation: | 1 Department of Mathematical Science, Tsinghua University, Beijing 100084, People's Republic of China. Email: dshi@math.tsinghua.edu.cn 2 Institute of Systems Science, Academy of Mathematics & Systems Science, Chinese Academy of Sciences, Beijing 100080, People's Republic of China. Email: dxfeng@iss03.iss.ac.cn |
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| Abstract: | The problem of exponential stabilization of a nonuniform Timoshenkobeam with locally distributed controls is investigated. Withoutthe assumption of different wave speeds, it is shown that, undersome locally distributed controls, the vibration of the beamdecays exponentially. The proof is obtained by using a frequencymultiplier method. |
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| Keywords: | nonuniform Timoshenko beam locally distributed feedback control frequency multiplier method exponential stabilization. |
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