New Method for the Stability Analysis of Neutral Systems with Time-Varying Structured Uncertainties

Abstract

This study investigates the delay-dependent stability problem for neutral systems with mixed delays. Different from previous works, this paper employs the free-weighting matrix(FWM) approach and integral inequality approach to estimate the derivative of LKF together. Firstly, a new integral inequality based the Wirtinger inequality is proposed. This improved inequality is right used to cope with the terms $\int_{b}^{a}\dot{x}(s)ds$ which are generated by using the free-weighting matrix approach. Then, by integrating the newly integral inequality with free-weighting matrix approach, some less conservative stability criteria are derived. Numerical examples demonstrate the effectiveness of the method and its advantage over existing methods.