Stability analysis of the Euler-Bernoulli beam with multi-delay controller

In this paper,we investigate the stabilization of an Euler-Bernoulli beam with time delays in the boundary controller.The boundary velocity feedback law is applied to obtain the closed-loop system.It is shown that this system generates a C_(0-)semigroup of linear operators.Moreover,the stability of the closed-loop system is discussed for different values of the controller constants and time delays via using spectral analysis and a suitable Lyapunov function.