Hybrid state-feedback guaranteed cost control for a class of time-varying delay system with nonlinear uncertainties

The hybrid state-feedback guaranteed control problem for a class of uncertain nonlinear systems with time-varying delay is discussed. Time-varying uncertainties are contained in both state matrix and delay state matrix based on single Lyapunov function method, sufficient condition for hybrid state-feedback guaranteed cost control are given and the switching laws are constructed. When the controller gain are unknown, a sufficient condition for hybrid state-feedback guaranteed cost control is also derived by means of multiple functions technique the simulation result shows the effectiveness of the proposed method.