Strong delay-independent stability analysis of neutral delay systems with commensurate delays

Abstract

This paper considers the strong delay-independent stability analysis problem of neutral delay systems with commensurate delays. Different from the existing method with the considered original system being first transformed into a high dimensional neutral system, our proposed method directly deals with the original system. First, a new family of linear matrix inequalities, indexed by a positive integer k, is derived to assess the strong delay-independent stability. It is shown that the proposed condition possesses a lower computational burden than the existing results. Then, a time-domain interpretation of the proposed condition is given in terms of a quadratic integral Lyapunov functional. Finally, based on the fact that the established condition involves matrices that are linear functions of the coefficients of the neutral delay systems, the proposed condition is further used to solve the robust strong delay-independent stability analysis problem of neutral delay systems with norm bounded uncertainty. Numerical examples are employed to illustrate the effectiveness of the proposed results.