Novel compensation-based non-fragile H∞ control for uncertain neutral systems with time-varying delays

This article studies the non-fragile H-infinity control problem for a class of uncertain linear neutral systems with time-varying delays, where the delay in neutral-type term includes a fast-varying case (i.e. the derivative of delay is more than one), which is seldom considered in current literature. The less conservative delay-dependent H-infinity control results for this systems are proposed by applying a new Lyapunov-Krasovskii functional and a geometric series compensation method. Based on the new functional, the systems with fast-varying neutral-type delay can be handled. The benefit brought by applying the compensation method is that many more useful elements can be included in criteria, which are generally ignored when estimating the upper bound of the derivative of Lyapunov-Krasovskii functional. A numerical example is provided to verify the effectiveness of the proposed criteria.