Improved delay-dependent stability criteria for uncertain neutral systems with mixed time-varying delays and nonlinear perturbations

Abstract

This paper points and corrects mistakes in [Mathematical Problems in Engineering, Volume 2009, ID759248, doi:10.1155/2009/759248]. By introducing a Lyapunov-Krasovskii functional and using Jensen inequality technique to deal with its derivative, a delay-range-dependent and rate-dependent linear matrix inequalities (LMI) stability criterion for a class of neutral systems with time-varying neutral, discrete and distributed delays and nonlinear parameter perturbations is established. Compared with the corresponding result in [Mathematical Problems in Engineering, Volume 2009, ID759248, doi:10.1155/2009/759248], the new stability criterion not only removes the free-weighting matrices, but also is mathematically proven to be less conservative. Numerical examples are given to illustrate the advantages of the results obtained in this paper.