The Study Of The Stability Analysis And Exact Controllability Of The String Damped System By Time Delay

In this paper, starting with some problem of string system with damping and boundary time-delay input, the string system with damping is turned into a undamped through a linear transform. We obtain that the system operator generates a Co-semigroup and the system is a Riesz one, with the procedures of spectral analysis and Riesz bases method of sine typed functions. Finally, the exact controllability problem of the system is discussed.