摘要
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.
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.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2016年第2期185-193,共9页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(61374096
11271104)
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
beam-string system
linear operator semigroup
boundary feedback control
uniform exponential decay
