Abstract
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.
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