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| BOUNDARY FEEDBACK STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH A TIPLOAD |
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Citation： |
YAN Qingxu,FENG Dexing.BOUNDARY FEEDBACK STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH A TIPLOAD[J].Chinese Annals of Mathematics B,2001,22(4):485~494 |
| Page view： 1202
Net amount： 795 |
Authors： |
YAN Qingxu; FENG Dexing |
Foundation： |
Project supported by the the National Key Project of China. |
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| Abstract： |
The boundary stabilization problem of
a Timoshenko beam attached with a mass at one end is studied.
First, with linear boundary force feedback and moment control
simultaneously at the end attached with the load, the energy
corresponding to the closed
loop system is proven to be exponentially convergent to zero as time
$t\to\infty$. Then, some counterexamples are given to show that, in
other cases, the corresponding closed loop
system is, in general, not stable asymtotically, let alone
exponentially. |
Keywords： |
Timoshenko beam, Boundary feedback control, $C_0$ semigroups, Exponential
stability, Multiplier method |
Classification： |
93C20, 93D20 |
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