In this paper, the problem of asymptotical stability of neutral systems with nonlinear perturbations is investigated. Based on a class of novel augment Lyapunov functionals which contain freeweighting matrices, some new delay-dependent asymptotical stability criteria are formulated in terms of linear matrix inequalities (LMIs) by using new inequality analysis technique. Numerical examples are given to demonstrate the derived condition are much less conservative than those given in the literature.<\/p>\r\n","references":"[1] Y.-Y. Cao, J. Lam, Computation of robust stability bounds for time-delay\r\nsystems with nonlinear time-varying perturbation, International Journal\r\nof Systems Science, Vol. 31, No. 3, pp. 359-365, 2000.\r\n[2] Y. Chen, A.-K. Xue, R.-Q. Lu, S.-S. 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