New stability criterion for a class of uncertain nonlinear neutral time-delay systems

In this paper, asymptotic stability for a class of uncertain nonlinear neutral systems with a single time delay is considered. A new delay-dependent criterion is proposed to guarantee stability for such systems. The Lyapunov stability theorem and matrix inequalities are used to prove the main result. Finally, four numerical examples are given to demonstrate that our robust stability condition is less conservative than those reported in the control literature. The tolerable time-delay intervals that guarantee asymptotic stability of systems are larger than other results in those examples.