Absolute stability analysis of Lurie control system with multiple delays: An integral-equality approach

This paper investigates the stability problem for the nominal and uncertain Lurie control system with multiple delays, respectively. With the delay divided into two segments, a novel Lyapunov functional is introduced and some new delay-dependent stability criteria are derived by employing integral-equality technique. It is theoretically proved that the obtained criteria are less conservative than some existing ones. Two examples are given to illustrate the effectiveness of the proposed results.