带有局部干扰的波方程的稳定性分析

摘要

该文对带有局部干扰的波系统的稳定性进行分析.首先设计基于输出的反馈控制器来抑制干扰产生的影响.然后通过极大单调算子理论研究了非线性闭环系统的适定性.最后利用Lyapunov方法证明了系统的渐近稳定性.%In this paper,we are concerned with the stabilization of a wave equation with locally distributed disturbance.We design a feedback controller basing on the output to reduce the effects of the internal disturbances.Considering that the resulting controlled system is a nonlinear system,we investigate the well-posedness of the nonlinear closed loop system by the theories of nonlinear maximal monotone operators.At last,we show asymptotic stabilization of the nonlinear controlled system by the Lyapunov method.