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Locally Distributed Feedback Stabilization of Nonuniform Euler-Bernoulli Beam
被引：2
作者：
YAN QingXu HOU ShuiHung FENG DeXing QI JianLing Key Laboratory of Lithosphere Tectonocs and ExplorationMinistry of EducationBeijing Information Engineering SchoolChina Geosciences UniversityBeijing Department of Applied MathematicsThe Hong Kong Polytechnic UniversityHong KongChinaInstitute of Systems ScienceAcademy of Mathematics and Systems ScienceChinese Academy of ScienceBeijing
[1
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,4
,2
,1
,100083
,2
,100083
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,100080
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机构：
来源：
关键词：
Nonuniform Euler-Bernoulli beam;
linear locally distributed feedback control;
linear semigroup;
exponential stability;
piecewise multiplier method;
D O I：
10.16383/j.aas.2005.05.017
中图分类号：
O231 [控制论（控制论的数学理论）];
学科分类号：
摘要：
<正>In this article,we study the locally distributed feedback stabilization problem of a nonuniform Euler-Bernoulli beam.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 to a related ordinary differential equation,we derive the asymptotic stability of the closed loop sys- tem.Finally,by means of the piecewise multiplier method,we prove that,by either one distributed force feedback or a distributed moment feedback control,the closed loop system can be exponentially stabilized.
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页码：120 / 126
页数：7
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