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Research on robust stability of uncertain neutral systems with time delays

For the robust stability of uncertain neutral delay system, The uncertainty of system is divided into two cases in this paper, non-linear uncertainty and norm-bounded uncertainty. Based on Lyapunov approach, by constructing a new Lyapunov-Krasovskii functional, neutral delay and related discrete delay stability criterion has been expressed in terms of linear matrix inequalities, it reduces the stability criterion conservation caused by irrelevant neutral delay. Simulation example shows the obtained stability criteria is better than some existing results in the conservation.