WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 16, 2017
Novel Robust Stability of a Class of Lur’e Systems of Neutral Type with Mixed Interval Time-Varying Delays
Authors: Wajaree Weera, Thongchai Botmart
Abstract: 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 byWirtinger’s inequality, a matrix-based quadratic convex technique is used to design an LMIbased 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.
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Keywords: robust absolute stability, neutral type, Lur’e system, mixed time-varying delays, LMI approach
Pages: 19-28
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 16, 2017, Art. #3