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Wen-Yong Duan,Baozhu Du,Yan Li,Cuifeng Shen,Xuelai Zhu,Xiaofan Li,Jian Chen 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.5
In this paper, we focus on the problem of the absolute and robustly absolute stability for the neutraltype Lur’e system with time-varying delay. By combining the piecewise analysis theory with extended doubleintegral and Wirtinger-based inequalities technology, some new delay-dependent stability criteria for the absolute and robustly absolute stability are proposed via Lyapunov-Krasovskii functional (LKF) approach. The stability conditions can be expressed as convex linear matrix inequality (LMI) framework, which can be solved by using standard LMI convex optimization solvers. The criteria proposed in this paper are less conservative than some previous ones. Finally, some numerical examples are presented to show the effectiveness of the proposed approach.