Improved delay-dependent stability criteria for uncertain Lur’e systems with sector and slope restricted nonlinearities and time-varying delays

This paper deals with the absolute stability analysis for uncertain time delay Lur’e systems that have time-varying delays and sector and slope restricted nonlinearities. New delay-dependent stability criteria are derived via linear matrix inequality (LMI) formulation that can be easily solved by various optimization techniques. Sector bounds and slope bounds are employed to the Lyapunov–Krasovskii functional through convex representation of the nonlinearities so that less conservative stability conditions are obtained. Numerical examples show effectiveness of the proposed stability condition.