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Feedback control for stochastic finite-time/fixed-time synchronization of stochastic coupled nonlinear systems

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Abstract

A novel feedback control is proposed to investigate the stochastic finite-time/fixed-time synchronization between two stochastic coupled nonlinear systems (SCNSs). Based on graph theory and Lyapunov function methods, some effective stochastic finite-time/fixed-time synchronization criteria for SCNSs are established. Finally, the examples are included to demonstrate our analytical results.

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Author notes

  1. Hongxiao Hu and Wenjing Yang contributed equally to this work.

Authors and Affiliations

  1. College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Hongxiao Hu & Wenjing Yang

  2. Department of Electrical and Electronic Engineering, University of Manchester, Manchester, M13 9PL, UK

    Zhengtao Ding

Authors
  1. Hongxiao Hu
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  2. Wenjing Yang
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  3. Zhengtao Ding
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Correspondence to Zhengtao Ding.

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Hu, H., Yang, W. & Ding, Z. Feedback control for stochastic finite-time/fixed-time synchronization of stochastic coupled nonlinear systems. Control Theory Technol. 21, 352–362 (2023). https://doi.org/10.1007/s11768-023-00164-9

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  • DOI: https://doi.org/10.1007/s11768-023-00164-9

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