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Novel integral inequality approach on master–slave synchronization of chaotic delayed Lur’e systems with sampled-data feedback control

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Abstract

This paper proposes a novel approach to study the problem of master–slave synchronization for chaotic delayed Lur’e systems with sampled-data feedback control. Specifically, first, it is assumed that the sampling intervals are randomly variable but bounded. By getting the utmost out of the usable information on the actual sampling pattern and the nonlinear part condition, a newly augmented Lyapunov–Krasovskii functional is constructed via a more general delay-partition approach. Second, in order to obtain less conservative synchronization criteria, a novel integral inequality is developed by the mean of the new adjustable parameters. Third, a longer sampling period is achieved by using a double integral form of Wirtinger-based integral inequality. Finally, three numerical examples with simulations of Chua’s circuit are given to demonstrate the effectiveness and merits of the proposed methods.

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Author information

Authors and Affiliations

  1. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Kaibo Shi, Hong Zhu & Chun Yin

  2. Department of Applied Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    Xinzhi Liu

  3. Department of Civil and Environmental Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    Xinzhi Liu

  4. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Shouming Zhong

  5. Department of Electronic Engineering, Daegu University, Gyeongsan, 712-714, Republic of Korea

    Yajuan Liu

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  1. Kaibo Shi
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  2. Xinzhi Liu
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  3. Hong Zhu
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  4. Shouming Zhong
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  6. Chun Yin
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Correspondence to Kaibo Shi.

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The authors declare that there is no conflict of interests regarding the publication of this paper.

Additional information

This work was supported by National Basic Research Program of China (2010CB732501), National Natural Science Foundation of China (61273015), The National Defense Pre-Research Foundation of China (Grant No. 9140A27040213DZ02001), The Fundamental Research Funds for the Central Universities (ZYGX2014J070), The Program for New Century Excellent Talents in University (NCET-10-0097).

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Shi, K., Liu, X., Zhu, H. et al. Novel integral inequality approach on master–slave synchronization of chaotic delayed Lur’e systems with sampled-data feedback control. Nonlinear Dyn 83, 1259–1274 (2016). https://doi.org/10.1007/s11071-015-2401-x

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  • DOI: https://doi.org/10.1007/s11071-015-2401-x

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