Delay-dependent conditions for robust stability and bounded real lemma of systems with multiple time-varying delays
多时变时滞系统的鲁棒稳定及有界实引理的时滞相关条件

Based on linear matrix inequality(LMI),some delay-dependent conditions were derived for the robust stability of the systems with multiple time-varying delays.Some free weighting matrices were employed to describe the reciprocal relationships between the terms in Newton-Leibniz formula.Then the relationship between the delay-dependent conditions and delay-independent ones were discussed.And,the results were extended to the delay-dependent bounded real lemma for systems.The proposed results overcome the conservativeness of the existing results.Finally,some examples were provided to demonstrate the (effectiveness) of the proposed method.