Absolute Stability Analysis for Lurie Control System with Time-varying Delays

Based on optimal weighting matrices, delay and its derivative dependent stability criteria are derived for time-varying delay Lurie type control systems with two nonlinearities. The relationship between the sector and delay or the sector and delay´s derivative is discussed. Conditions are given in terms of linear matrix inequality. Since the process of proof did not apply arbitrary integral inequality, the proposed criteria are less conservative than other existing criteria. An example is given that illustrates advantage of our approach.