Improved asymptotic stability analysis for Lur'e systems with sector and slope restricted nonlinearities

In this Letter, we propose new criteria for asymptotic stability of Lur'e systems with sector and slope restrictions. The criteria are expressed in terms of linear matrix inequality which has full block scaling matrix. By interpreting the criteria in the frequency domain using KYP lemma, the less conservativeness of the proposed analysis method is investigated. Furthermore, we analyze the dynamic system with input saturation using sector and slop properties of the saturation nonlinearity. A numerical example shows the effectiveness of the proposed method.