摘要
The stabilization problem of a nonuniform Timoshenko beam system with controllers at the beam's right tip with rotor inertia is studied.First,with a special kind of linear boundary force feedback and moment control existing simultaneously,the energy corresponding to the closed loop system is proven to be exponentially convergent to zero as time t→∞.Then in other cases,some conditions for the corresponding closed loop system to be asymptotically stable are also derived.
The stabilization problem of a nonuniform Timoshenko beam system withcontrollers at the beam's right tip with rotor inertia is studied. First, with a special kind oflinear boundary force feedback and moment control existing simultaneously, the energy correspondingto the closed loop system is proven to be exponentially convergent to zero as time t → ∞. Then inother cases, some conditions for the corresponding closed loop system to be asymptotically stableare also derived.
基金
This research is supported by the National Natural Science Foundation of China (00174008).
关键词
边界稳定性
Timoshenko束
半群
边界反馈控制
boundary feedback control
timoshenko beam
C_0 semigroups
exponentialstability
multiplier method
