Sampled-Data Master-Slave Synchronization of Delayed Lur'e Systems

YAN Huan,GAO Yanbo

Journal of Systems Science and Mathematical Sciences ›› 2018, Vol. 38 ›› Issue (3) : 285-307.

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Journal of Systems Science and Mathematical Sciences ›› 2018, Vol. 38 ›› Issue (3) : 285-307. DOI: 10.12341/jssms13382

Sampled-Data Master-Slave Synchronization of Delayed Lur'e Systems

  • YAN Huan ,GAO Yanbo
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Abstract

This paper deals with the synchronization problem of chaotic Lur'e systems with time-varying-delay by using sampled-data control. Firstly, a novel Lyapunov-Krasovskii functional (LKF) is constructed, which includes useful information of the nonlinear parts of systems and a triple integral term, and not all the involved symmetric matrices are required to be positively definite. Then, by applying the Jensen's inequality, free-matrix-based integral inequality and Schur complement lemma to estimate the derivative of the LKF, the synchronization criteria in terms of linear matrix inequalities is newly obtained. Finally, the numerical simulation of delayed Chua's circuit is given to verify the effectiveness of this control method.

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YAN Huan , GAO Yanbo. Sampled-Data Master-Slave Synchronization of Delayed Lur'e Systems. Journal of Systems Science and Mathematical Sciences, 2018, 38(3): 285-307 https://doi.org/10.12341/jssms13382
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