一类波动方程的边界控制

Boundary control for a class of wave equations

研究了一类二阶波动方程的边界控制问题。通过构建适当的Lyapunov泛函,得到了边界反馈控制律。在该反馈控制律的作用下,方程的状态向量在H1(0,1)×L2(0,1)空间上全局渐近稳定。最后,通过仿真算例验证了理论方法的有效性。

This paper investigates the boundary control for a class of second-order wave equations.The boundary feedback control laws were obtained by constructing an appropriate Lyapunov functional.Under the action of the boundary feedback control laws,the state vectors of the equations were globally asymptotically stable on H1(0,1)×L2(0,1)space.Finally,a simulation example was conducted to verify the validity of the theoretical method.