A delay decomposition approach to absolute stability of Lurie control system with time-varying delay

This paper investigates the absolute stability problem of the transformation Lurie model with time-varying delay. A delay decomposition approach is proposed to deal with the stability problem. With different limitations, the classification of the time delay is different from the existing results. By choosing proper Lyapunov function, some delay-dependent absolute stability criteria are presented. Finally, two examples are given to demonstrate the significance of the criteria.