Novel robust stability of a class of Lur'e systems of neutral type with mixed interval time-varying delays

摘要

This paper is considered with the problem of robust absolute stability of neutral type Lur'e systems with mixed time-varying delays. By constructing an new augmented Lyapunov-Krasovskii functional and combining integral inequality with approach to estimate the derivative of the Lyapunov-Krasovskii functional, which estimated some integral terms by Wirtinger's inequality, a matrix-based quadratic convex technique is used to design an LMI-based sufficient conditions. New stability condition is much less conservative and more general than some existing results. New stability criteria is given in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the results.