An augmented approach to absolute stability for uncertain Lur'e system with time-varying delay

This paper investigates the absolute stability criteria of Lur'e system with time-varying delays, uncertainties, and sector bounded nonlinearities. By constructing suitable Lyapunov–Krasovskii functionals (LKFs) and utilizing some useful mathematical techniques, an improved delay-dependent stability criterion is introduced in Theorem 1. Based on the result of Theorem 1, a further enhanced criterion is proposed in Theorem 2 by employing the augmented zero equality approach. Finally, two numerical examples show the improved performance of the criteria by comparing maximum delay bounds.