Further triple integral approach to mixed-delay-dependent stability of time-delay neutral systems

摘要

Abstract This paper studies the asymptotic stability for a class of neutral systems with mixed time-varying delays. Through utilizing some Wirtinger-based integral inequalities and extending the convex combination technique, the upper bound on derivative of Lyapunov-Krasovskii (L-K) functional can be estimated more tightly and three mixed-delay-dependent criteria are proposed in terms of linear matrix inequalities (LMIs), in which the nonlinearity and parameter uncertainties are also involved, respectively. Different from those existent works, based on the interconnected relationship between neutral delay and state one, some novel triple integral functional terms are constructed and the conservatism can be effectively reduced. Finally, two numerical examples are given to show the benefits of the proposed criteria. Highlights ? The Lyapunov functional candidate can not only include the information on both neutral time-delay and state one, but also effectively utilize their interconnected relationship. ? The much tighter upper bound on time derivative of Lyapunov-Krasovskii functional can be estimated and some previously ignored information can be effectively considered. ? This work has also considered the effect of sector nonlinearity and parameter uncertainties, which can be more general than those existent works. ? Some sufficient conditions on global stability are presented and it is convenient to check their feasibility in solving LMIs.. ]]>