Robust stability analysis for Lur´e system with multiple time-varying delays

This paper is concerned with the robust stability for a class of uncertain Lur´e control system with multiple time-varying delays and a sector bounded nonlinearity. By discretizing the delay interval into two segments with an unequal width, some new robust stability criteria in the form of linear matrix inequalities (LMIs) are derived via a modified Lyapunov-Krasovskii functional (LKF) approach without using the general free-weighting matrix method. The criteria are less conservative and more efficiently calculative in computing the maximum allowed delay bounds (MADBs) than some existing results. Some standard numerical examples are presented the effectiveness of the proposed approach.