A New Refined Lyapunov Functional for Time-Varying Delayed Systems

For time-delay systems, a new refined Lyapunov function is proposed, whose derivative is not estimated by the integral inequalities, but is directly applied to linear matrix inequality conditions after using the existing study and then combines the derivative function with Lemma 1. Meantime, some useful cross terms appear to be good for lower conservatism. The numerical results show that such simple functional form would reduce the conservativeness of conditions slickly.