The problem of absolute stability for neutral Lurie systems with delay is investigated.Using Lyapunov-Krasovskii function method
two delay-dependent criterions for absolute stability of systems in infinite sector and finite sector are respectively given.The proposed condition is in terms of a linear matrix inequality(LMI) which can be easily solved by Matlab toolbox.An illustrative example shows that the condition obtained in this paper is less conservative than some existing criteria.