Robust stability analysis for Lur'e systems with interval time-varying delays via Wirtinger-based inequality

This paper considers the problem of robust stability for Lur'e systems with interval time-varying delays and parameter uncertainties. It is assumed that the parameter uncertainties are norm bounded. By constructing a newly augmented Lyapunov-Krasovskii functional, less conservative sufficient stability conditions of the concerned systems are introduced within the framework of linear matrix inequalities (LMIs). Three numerical examples are given to show the improvements over the existing ones and the effectiveness of the proposed methods.