A novel criterion for absolute stability of neutral delay systems
中立型时滞系统的新的绝对稳定性的法则

The absolute stability of neutral delay systems with sector-bounded nonlinearity is studied. Using new Lyapunov-Krasovskii functional, we derive the less conservative stability conditions for such systems based on linear matrix inequalities(LMIs), and present a novel absolute stability criterion for these systems. A numerical example is provided to show that the proposed criterion significantly extends the allowable upper limit of the delay size over the corresponding limits in some other existing criteria in the literature. We also consider the uncertain neutral delay systems, for which the uncertainties are norm-bounded but parameters are allowed to be time varying.