New results on delay-dependent bounded real lemma for uncertain time-varying delay systems

This paper provides some new results on delay-dependent bounded real lemma (BRL) for systems with interval time-varying delay. Through constructing a new augmented Lyapunov functional, using some tighter upper bounding integral inequalities, the BRLs are derived in terms of linear matrix inequalities (LMIs). Unlike some existing methodologies, the proposed approach involves neither free weighting matrices nor any model transformation. However, comparing to some recent literatures, the criteria obtained have less conservatism. Two numerical examples are exploited to show the advantages of the results proposed.