  In this article, we present a stabilization feedback law with integral action
for conservative abstract linear systems subjected to actuator nonlinearity.
Based on the designed control law, we first prove the well-posedness and global
asymptotic stability of the origin of the closed-loop system by constructing a
weak Lyapunov functional. Secondly, as an illustration, we apply the results to
a wave equation coupled with an ordinary differential equation (ODE) at the
boundary. Finally, we give the simulation results to illustrate the
effectiveness of our method.
