A New Delay-dependent Absolute Stability Criterion for Lurie Systems with Time-varying delay

The problem of absolute stability analysis for Lurie systems with time-varying delay and norm-bounded parameter uncertainties is considered. By using a new Lyapunov-Krasovskii functional, which splits the whole delay interval into two subintervals and defining a different energy function on each subinterval, some new delay-dependent robust absolute stability criteria are presented in terms of strict linear matrix inequalities (LMIs). The obtained delay-dependent criteria are less conservative than previous ones, which are illustrated by numerical examples.