Delayed decomposition approach to the robust absolute stability of a Lur'e control system with time-varying delay

This study considers the robust absolute stability criteria for Lur'e systems with time-varying delay and sector-bounded nonlinearity. Using a delayed decomposition approach that splits the overall delay time into three subintervals and by introducing a new Lyapunov-Krasovskii functional, some new delay-dependent and robust absolute stability criteria are obtained in terms of linear matrix inequalities. Numerical examples from four benchmark problems are presented to illustrate the superior performance of the proposed approach compared with previously reported methods.