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Finite-Time Control of Multiple Different-Order Chaotic Systems with Two Network Synchronization Modes

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Abstract

This paper mainly investigates finite-time synchronization of multiple different-order chaotic systems. Two kinds of different network synchronization modes are considered here, and the definitions of finite-time synchronization errors are given for such systems by constructing the proper vectors mapping functions. On the basis of finite-time control idea, the synchronization schemes are developed to ensure the asymptotical stability of two classes of different error systems in finite-time. Afterward, two numerical examples are calculated and simulated to illustrate the effectiveness and feasibility of proposed strategies.

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Author information

Authors and Affiliations

  1. School of Mathematics, Southeast University, Nanjing, 211189, People’s Republic of China

    Xiangyong Chen & Jinde Cao

  2. School of Automation and Electrical Engineering, and Key Laboratory of Complex systems and Intelligent Computing in Universities of Shandong (Linyi University), Linyi University, Linyi, 276005, Shandong, People’s Republic of China

    Xiangyong Chen & Jianlong Qiu

  3. School of Mathematical Sciences, Shandong Normal University, Ji’nan, 250014, Shandong, People’s Republic of China

    Jinde Cao

  4. School of Mathematical Sciences, Chongqing Normal University, Chongqing, 401331, People’s Republic of China

    Ju H. Park

  5. Department of Electrical Engineering, Yeungnam University, Kyongsan, 38541, Republic of Korea

    Ju H. Park

Authors
  1. Xiangyong Chen
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  2. Jinde Cao
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  3. Ju H. Park
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  4. Jianlong Qiu
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Corresponding authors

Correspondence to Jinde Cao or Ju H. Park.

Additional information

This work was supported in part by the National Natural Science Foundation of China, under Grants 61403179, 61273012, 11471061 and 61573102, by a Project of the Postdoctoral Sustentation Fund of Jiangsu Province under Grant 1402042B, by the Applied Mathematics Enhancement Program (AMEP) of Linyi University by the Natural Science Foundation of CQ under Grant CSTC 2014J-CYJA40004, and by the 2016 Visiting Scholar Program of China Scholarship Council.

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Chen, X., Cao, J., Park, J.H. et al. Finite-Time Control of Multiple Different-Order Chaotic Systems with Two Network Synchronization Modes. Circuits Syst Signal Process 37, 1081–1097 (2018). https://doi.org/10.1007/s00034-017-0608-4

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  • DOI: https://doi.org/10.1007/s00034-017-0608-4

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