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STABILIZATION OF EULER-BERNOULLI BEAM WITH A NONLINEAR LOCALLY DISTRIBUTED FEEDBACK CONTROL 被引量:1
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作者 Qingxu YAN Shuihung HOU Lanlan ZHANG 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2011年第6期1100-1109,共10页
This paper studies the stabilization problem of uniform Euler-Bernoulli beam with a nonlinear locally distributed feedback control. By virtue of nonlinear semigroup theory, energy-perturbed approach and polynomial mul... This paper studies the stabilization problem of uniform Euler-Bernoulli beam with a nonlinear locally distributed feedback control. By virtue of nonlinear semigroup theory, energy-perturbed approach and polynomial multiplier skill, the authors show that, corresponding to the different values of the parameters involved in the nonlinear locally distributed feedback control, the energy of the beam under the proposed feedback decays exponentially or in negative power of time t as t →∞. 展开更多
关键词 Energy perturbed method nonlinear locally distributed feedback control nonlinear semigroups polynomial multiplier uniform Euler-bernoulli beam.
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STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH COUPLED LOCALLY DISTRIBUTED FEEDBACKS
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作者 YANQingxu HOUShuiHung +1 位作者 HUANGGuangdong WANLi 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2005年第3期419-428,共10页
The stabilization problem of a nonuniform Timoshenko beam system With coupled locally distributed feedback controls is studied. First, by proving the uniqueness of the solution to the related ordinary differential equ... The stabilization problem of a nonuniform Timoshenko beam system With coupled locally distributed feedback controls is studied. First, by proving the uniqueness of the solution to the related ordinary differential equations, we establish the asymptotic decay of the energy corresponding to the closed loop system. Then, by virtue of piecewise multiplier method, we prove the exponential decay of the closed loop system. 展开更多
关键词 locally distributed feedback control timoshenko beam C_0 semigroups exponential stability piecewise multiplier
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Stabilization of Nonuniform Euler-Bernoulli Beam with Locally Distributed Feedbacks
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作者 Xian-bing CAO Qing-xu YAN 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2012年第1期131-138,共8页
In this article, we study the stabilization problem of a nonuniform Euler-Bernoulli beam with locally distributed feedbacks. Firstly, using the semi-group theory, we establish the well-posedness of the associated clos... In this article, we study the stabilization problem of a nonuniform Euler-Bernoulli beam with locally distributed feedbacks. Firstly, using the semi-group theory, we establish the well-posedness of the associated closed loop system. Then by proving the uniqueness of the solution of a related ordinary differential equations, we derive the asymptotic stability of the closed loop system. Finally, by means of the piecewise frequency domain multiplier method, we prove that the corresponding closed loop system can be exponentially stabilized by only one of the two distributed feedback controls proposed in this paper. 展开更多
关键词 nonuniform Euler-Bernoulli beam linear locally distributed feedback control linear semigroup exponential stability piecewise multiplier method
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