内部输入带不同时滞的Tomishenko梁的指数稳定性
Exponential Stabilization for Timoshenko Beam with Different Delays in the Internal Feedback
研究了内部输入带不同时滞的Timoshenko梁的指数稳定性. 利用Smith预估器的思想, 对部分状态进行预估可得无时滞系统. 对无时滞系统设计控制器, 得到闭环系统. 通过讨论闭环系统的稳定性及原时滞系统和无时滞系统的误差系统的指数衰减, 最终得出原系统的指数稳定性。
In this paper, we consider the exponential stabilization for Timoshenko beam with different delays in the internal feedback. First, using the Smith predictor idea, we predict partial state of the original system and get a without delay system. Next, we design the controllers for the without delay system and obtain a closed loop system. Finally, we prove that the closed loop system is exponentially stable and the error system between the original delay system and the without delay system decay exponentially. As a result, the exponential stabilization for the original system is gained.
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