IEEE Transactions on Automatic Control, Vol.61, No.12, 4041-4047, 2016
Stabilization of Reaction Diffusion Equations With State Delay Using Boundary Control Input
This study analyses a stabilization method for reaction-diffusion equations with state delay using boundary control input. The proposed control strategy is based on the back-stepping method, wherein the controlled system is transformed into a target system. The objective of this study is to show that the conventional transformation, which was proposed for undelayed reaction-diffusion equations, can still provide a stabilizing boundary controller for a special class of delayed equations.
Keywords:Backstepping control;delays;distributed parameter systems;Lyapunov-Razumikhin functions;nonnegative semigroups