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Asymptotic Stability of Master-slave Systems Using Sampled-data Controller with Time-delay

Shenghuang He, Yuanqing Wu*, and Yanzhou Li
International Journal of Control, Automation, and Systems, vol. 17, no. 6, pp.1473-1482, 2019

Abstract : In this paper, the synchronization of Chaotic Lur’e systems subject to a periodic sampling is investigated. It is shown that sampling interval is bounded and nonuniform. A modified free-matrix-based (MFMB) time-dependent Lyapunov functional is developed to capture the information on sampling pattern, which is sufficiently used to analyze stability of Chaotic Lur’e systems. For a special case that the sampled-data controller suffers constant input delay, a discontinuous Lyapunov functional is presented based on the vector extension of Wirtinger’s inequality. The obtained stability condition leads to a less computational complexity than some of existing works. A longer value on the calculation of sampling interval is achieved. Two illustrative examples demonstrate the effectiveness of designed methods and less conservatism of the obtained results.

Keyword : Asymptotical stability, chaotic Lur’e systems, sampled-data control, synchronization

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