动态控制下Euler-Bernoulli梁的多项式镇定

Polynomial Decay of an Euler-Bernoulli Beam under a Boundary Dynamic Feedback

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摘要考虑动态输出反馈控制下Euler-Bernoulli梁的振动抑制问题,证明了系统算子生成的C0-半群,不指数稳定但渐近稳定.且当初值充分光滑时,利用Riesz基方法估计出系统能量多项式衰减. A boundary dynamic feedback control is designed for an an Euler-Bernoulli beam equation. The closed system is shown to be asymptotically stable but not exponentially stable. Using Riesz basis approach, the polynomial decay rate is estimated when the initial data are smooth.

作者周翠莲仲锋惟

机构地区北京理工大学应用数学系

出处《应用泛函分析学报》 CSCD 2005年第4期375-382,共8页 Acta Analysis Functionalis Applicata

关键词 EULER-BERNOULLI梁稳定性 RIESZ基动态控制 Euler-Bernoulli beam Stability riesz basis dynamic control

分类号 O175.13 [理学—基础数学] TP273.02 [自动化与计算机技术—检测技术与自动化装置]

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应用泛函分析学报

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动态控制下Euler-Bernoulli梁的多项式镇定

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