Robust absolute stability criteria for uncertain Lurie interval time-varying delay systems of neutral type

• Published in: ISA transactions Vol. 60; pp. 2 - 11
• Main Author: Liu, Pin- Lin
• Format: Journal Article
• Language: English
• Published: United States Elsevier Ltd 01.01.2016
• Subjects: Criteria; Delay; Inequalities; Integral inequality approach (IIA); Integrals; Interval time-varying delay; Intervals; Linear matrix inequality (LMI); Lurie dynamical system; Neutral system; Quadratic forms; Segmentation; Stability; Interval time-varying delay; Neutral system; Lurie dynamical system; Linear matrix inequality (LMI); Integral inequality approach (IIA)
• ISSN: 0019-0578; 1879-2022; 1879-2022
• DOI: 10.1016/j.isatra.2015.10.019

This study investigates the delay-dependent robust absolute stability analysis for uncertain Lurie systems with interval time-varying delays of neutral type. First, we divide the whole delay interval into two segmentations with an unequal width and checking the variation of the Lyapunov–Krasovskii functional (LKF) for each subinterval of delay, much less conservative delay-dependent absolute and robust stability criteria are derived. Second, a new delay-dependent robust stability condition for uncertain Lurie neutral systems with interval time-varying delays, which expressed in terms of quadratic forms of linear matrix inequalities (LMIs), and has been derived by constructing the LKF from the delayed decomposition approach (DDA) and integral inequality approach (IIA). Finally, three numerical examples are given to show the effectiveness of the proposed stability criteria. •The stability criteria subject to the equality constraints are derived based on a Lyapunov–Krasovskii functional (LKF).•Less conservative stability criteria are obtained via LMIs by applying the delayed decomposition approach (DDA) and integral inequality approach (IIA).•Three well-known examples show that these methods reduced conservatism and improved the maximal allowable delay.