Delay-dependent criteria of robust stability of neutral systems with time-varying delay and nonlinear uncertainties

Abstract

The problem of robust stability of a class of uncertain neutral systems with time-varying delay and nonlinear uncertainties is studied in this paper. The proposed criteria are both discrete-delay dependent and neutral-delay dependent. The bound of the derivative of time-varying delay is an unknown constant. As a special case, when the neutral systems degenerate to the retarded systems, the criteria obtained in this paper are less conservative than existing ones. The criteria are given in terms of linear matrix inequalities (LMIs). A simulation example illustrates the effectiveness of the developed method.