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Bounded Scaling Function Projective Synchronization of Chaotic Systems with Adaptive Finite-Time Control

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Abstract

This paper investigates the bounded scaling function projective synchronization of uncertain chaotic systems using adaptive finite-time control. Based on finite-time control and inequality principle, the new adaptive finite-time controller is designed to achieve two chaotic systems scaling function projective synchronized, and uncertain parameters of chaotic systems are also identified. Moreover, in comparison with those of the existing scaling function synchronization, the given scaling function can be more complex bounded functions. Some numerical are also given to show the effectiveness of the proposed method.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (61673221, 61673257, and 11701287), the Youth Fund Project of the Humanities and Social Science Research for the Ministry of Education of China (14YJCZH173), Top-notch Academic Programs Project of Jiangsu Higher Education Institutions (Jiangsu Province Office, No. [2015]1, PPZY2015B104), the Key Laboratory of Financial Engineering of Jiangsu Province (NSK2015-16), Applied Economics of key Sequence Disciplines of Jiangsu Higher Education Institutions (Jiangsu Province Office, No. [2014]37), “Qing-Lan Engineering” Foundation of Jiangsu Higher Education Institutions, and a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).

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Authors and Affiliations

  1. School of Finance, Nanjing Audit University, Nanjing, 211815, Jiangsu, China

    Yuhua Xu

  2. College of Information Science and Technology, Donghua University, Shanghai, 201620, China

    Wuneng Zhou

  3. College of Science, Nanjing Audit University, Nanjing, 211815, Jiangsu, China

    Chengrong Xie

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  1. Yuhua Xu
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  2. Wuneng Zhou
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  3. Chengrong Xie
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Correspondence to Yuhua Xu or Chengrong Xie.

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Xu, Y., Zhou, W. & Xie, C. Bounded Scaling Function Projective Synchronization of Chaotic Systems with Adaptive Finite-Time Control. Circuits Syst Signal Process 37, 3353–3363 (2018). https://doi.org/10.1007/s00034-017-0717-0

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  • DOI: https://doi.org/10.1007/s00034-017-0717-0

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