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

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 ∫
_b
^α
· 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.