Delay-dependent criteria for absolute stability of uncertain time-delayed Lur’e dynamical systems

This paper deals with the absolute stability analysis for uncertain time-delayed Lur systems with 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 convex optimization techniques. Sector bounds and slope bounds are employed to a Lyapunov–Krasovskii functional through convex representation of the nonlinearities so that less conservative stability conditions are obtained. A numerical example shows effectiveness of the proposed stability condition over some existing ones.