| 一类弹性系统的精确L2-能控性 |
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| 引用本文： | 章春国,游成涛.一类弹性系统的精确L2-能控性[J].应用数学,2009,22(3). |
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| 作者姓名： | 章春国 游成涛 |
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| 作者单位： | 杭州电子科技大学数学系,浙江,杭州,310018 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 该文研究带有压电驱动器的Rayleigh梁系统的精确能控性.先用算子半群方法和提升结果9]建立了Rayleigh梁方程解的正则性;再用Hilbert唯一性方法结合Diophantine逼近理论的某些结果得到了系统的精确L2-能控性.
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| 关 键 词： | Rayleigh梁方程 压电驱动器 精确能控性 Hilbert唯一性方法 Diophantine逼近理论 |
Exact L2-Controllability of an Elastic System |
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| ZHANG Chun-guo,YOU Cheng-tao.Exact L2-Controllability of an Elastic System[J].Mathematica Applicata,2009,22(3). |
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| Authors: | ZHANG Chun-guo YOU Cheng-tao |
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| Abstract: | In this paper,it is investigated that the exact controllability of a Rayleigh system with a piezoelectric actuator. First,it is established that the regularity of the solution of the Rayleigh beam equation via the method of linear operator semigroup and lifting result9]. Then,it is showed that exact L~2 -controllability for the system by applying the Hilbert u-niqueness method combined with some results from the theory of Diophantrne approximate. |
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| Keywords: | Rayleigh beam Piezoelectric actuator Exact controllability Hilbert uniqueness method Theory of Diophantine approximate |
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