Delay-dependent robust stability criteria for uncertain neutral systems with mixed time-varying discrete and neutral delays

Abstract

In this paper, a new class of augmented quasi full size Lypunov-Krasovskii functional is introduced for the robust stability of uncertain neutral systems with mixed time-varying discrete and neutral delays. The nonlinear parameter perturbations and norm-bounded uncertainties are taken into consideration separately. Delay-dependent robust stability criteria are derived in the form of linear matrix inequalities. Numerical examples are presented to illustrate the significant improvement on the conservativeness of the delay bound over some reported results in the literature.