Boundary control of reaction-diffusion equation with state-delay in the presence of saturation

摘要

The boundary stabilization for reaction-diffusion equation with state delay in the presence of actuator saturation is concerned. The state feedback is designed by using the backstepping method. We find a bound on the domain of attraction. The latter bound is based on Lyapunov method, whereas the exponential stability is proved by using Halanay's inequality. A numerical example validates the efficiency of the method.