一类柔性梁系统的谱分析和半群生成(英文)  

Spectral Analysis and Semigroup Generation for a Flexible Beam System

作　　者：侯学章 

机构地区：[1]陶森大学数学系,美国马里兰州212520001

出　　处：《应用泛函分析学报》2011年第3期319-331,共13页Acta Analysis Functionalis Applicata

摘　　要：讨论了一类双臂三关节柔性梁系统的分析问题.首先,建立了一个与柔性梁的偏微分方程组及初值边值条件相应的希尔伯特空间中的一阶发展系统.接着讨论系统算子的谱性质和半群性质.最后借助系统算子的谱性质和半群性质提出并证明了柔性梁系统的指数稳定性.An flexible beam system with three turning axles composed of two-link arm and threejoint is studied in this paper. An evolution equation corresponding to the beam system formulated by partial differential equations with initial and boundary conditions is established in an appropriate Hilbert space. The spectral analysis and semigroup generation of the operator of the beam system are discussed. Finally, a result of exponential stability of the beam system is proposed and proved in terms of semigroup properties of the system operator.

关 键 词：柔性梁系统 谱分析 线性算子半群 指数稳定性 

分 类 号：O177[理学—数学]