摘要
研究了具有线性耗散边界控制的Timoshenko梁的边界反馈镇定问题 .首先 ,在反馈系数矩阵B正定的前提下 ,我们证明了所论闭环系统是指数稳定的 .然后 ,对于反馈系数矩阵B半正定的情况 ,得到了闭环系统渐近稳定的几个充要条件 .
The stabilization problem of a Timoshenko beam with some linear boundary feedback controls is studied. First, under the condition that the feedback coefficient matrix B is positive, the energy of the corresponding closed loop system is proven to be exponentially convergent to zero as time t→∞. Then, under the condition that rank (B)=1, some necessary and sufficient conditions for the corresponding closed loop system to be asymptotically stable are derived.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2001年第3期353-357,共5页
Control Theory & Applications
基金
supportedbytheNationalKeyProjectofChina
