Neutral-delay-range-dependent absolute stability criteria for neutral-type Lur׳e systems with time-varying delays

Abstract

In this paper, the problem of absolute stability analysis of neutral-type Lur׳e systems with interval time-varying delays and sector-bounded nonlinearity is concerned. By using the reciprocally convex technique, convex technique and Wirtinger-type integral inequality simultaneously, neutral-delay-range-dependent absolute stability criteria are presented. The obtained criteria can be regarded as an extensive version of all existing results, since the latter is independent from the lower or upper bound of the neutral delay. A numerical example is provided to demonstrate the effectiveness of the proposed method.