Delay-independent robust absolute stability criteria of uncertain Lur´e systems with multiple time-delays

The delay-independent robust absolute stability of uncertain Lur´e systems with multiple time-delays for both the time-varying and time-invariant sector bounded nonlinearities is considered in this paper. Based on the Lyapunov-Krasovskii stability theory and the linear matrix inequality (LMI) approach, some delay-independent sufficient conditions for the robust absolute stability are derived and are expressed as the feasibility problem of a certain LMI system. Finally, some examples are given to illustrate the proposed results.