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Improved Synchronization Analysis for Delayed Lur’e Systems Using Improved Technique

Yefan Wu, Lianglin Xiong*, Guisheng Zhai, and Tao Wu
International Journal of Control, Automation, and Systems, vol. 19, no. 4, pp.1480-1490, 2021

Abstract : The master-slave synchronization (MSS) issue of chaotic Lur’e systems (LSs) with time-varying delay (TVD) is explored in this work by means of feedback control. After taking the nonlinear function into full consideration, a creative Lyapunov-Krasovskii functional (LKF) is attained. Then novel criteria which ensure the synchronization of the studied systems are obtained with the aid of the improved inequality technique and the reciprocally convex combination method to cope with the derivative of LKF. The effectiveness and virtues of the synchronization conditions are testified via the notable Chua’s circuit in three different cases.

Keyword : Chaotic Lur’e systems, improved integral inequality, synchronization, time-varying delay.

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