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.