摘要
研究Rayleigh梁点反馈的稳定性问题.。B.P.Rao研究了Rayleigh梁的边界反馈与整体阻尼的稳定性。首先利用算子半群方法证明了Rayleigh梁系统的适定性;而后选取合适的点反馈,利用谱性质证明了该系统在某种边界条件下是强渐近稳定的。
In this paper, we study the stability of Rayleigh beam with pointwise feedback. It has been studied that the stability of Rayleigh beam with boundary feedback and global damping by B.P.Rao. We, first, prove the well-posedness of system by semigroup approach , then, under some boundary condition, we choose appropriate point and show that Rayleigh beam system is strongly asymptotically stable by using spectral property.
出处
《杭州电子工业学院学报》
2004年第1期12-16,共5页
Journal of Hangzhou Institute of Electronic Engineering
基金
杭电院科研基金资助项目(03016).
