Hybrid state-feedback guaranteed cost control for a class of uncertain linear delay system

This paper focuses on the hybrid state-feedback guaranteed cost control problem for a class of uncertain linear delay system. Suppose there exist finite candidate controllers with known controller gain matrices and none of the controllers can make the system satisfy guaranteed cost control based on single-Lyapunov function method, sufficient conditions for hybrid state-feedback guaranteed cost control are given and hybrid state-feedback guaranteed control law is constructed. The simulation demonstrates the effectiveness of the method proposed in this paper.