Stability analysis for uncertain neutral systems with discrete and distributed delays

This paper studies the problem of the robustly stability analysis for uncertain neutral systems with discrete and distributed delays, and the uncertainties under considerations are norm-bounded. By constructing an appropriate Lyapunov–Krasovskii functional, some new delay-dependent criteria can be obtained by using the free-weighting matrices approach to estimate the derivative of the Lyapunov functional, which are established in terms of linear matrix inequalities (LMIs). The novelties in this paper are that any bounding technique and any mode transformation method are not utilized, and the decisive variables are much fewer than ones involved in existing literatures. Finally, three numerical examples are presented to illustrate the significant improvement on the conservatism of the delay bound over some reported results in the literature.