Delay-dependent absolute stability of Lurie control systems with multiple time-delays

The stability of Lurie control systems with multiple time-delays is investigated. The system with multiple time-delays is transformed, then a suitable Lyapunov function is selected, the delay-dependent absolutely stable condition for Lurie control systems with multiple time-delays is obtained by applying the technique of analyzing inequality and the method of decomposing the matrices. The condition is based on the linear matrix inequality. Finally, a numerical example is given to demonstrate the derived condition is less conservative than that given in the literature.