Please wait a minute...
Applied Mathematics A Journal of Chinese Universities  2016, Vol. 31 Issue (2): 185-193    DOI:
    
Stability of the weakly coupled beam-string system with boundary feedback control
ZHANG Chun-guo, LIU Wei-wei, ZHANG Hai-yan
Dept. of Math. , Hangzhou Dianzi Univ., Hangzhou 310018, China
Download:   PDF(0KB)
Export: BibTeX | EndNote (RIS)      

Abstract  This paper studies the weakly coupled beam-string system with boundary feedback control. First, under the appropriate hypothesis, it is proved that the well-posedness of the system by using the theory of linear operator semigroup. And then, it is showed that the energy of the weakly coupled beam-string system with boundary feedback control is uniform exponential decay by applying the frequence domain result on Hilbert space.

Key wordsbeam-string system      linear operator semigroup      boundary feedback control      uniform exponential decay     
Received: 10 April 2015      Published: 17 May 2018
CLC:  O231.4  
Cite this article:

. Stability of the weakly coupled beam-string system with boundary feedback control. Applied Mathematics A Journal of Chinese Universities, 2016, 31(2): 185-193.

URL:

http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2016/V31/I2/185


具有边界反馈控制弱耦合梁-弦系统的稳定性

研究具有边界反馈控制的弱耦合梁-弦系统.首先在合适的假设下, 应用线性 算子半群理论证明了系统的适定性;进而运用线性算子半群的频域定理证明了具有 边界反馈控制的弱耦合梁-弦系统的能量是一致指数衰减的.

关键词: 梁-弦系统,  线性算子半群,  边界反馈控制,  一致指数衰减 
No related articles found!