Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 61, Issue 12, Pages 4041-4047Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2016.2539001
Keywords
Backstepping control; delays; distributed parameter systems; Lyapunov-Razumikhin functions; nonnegative semigroups
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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.
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