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Periodically Intermittent Control of Memristor-Based Hyper-Chaotic Bao-like System

Author

Listed:
  • Kun Li

    (School of Electronic and Information Engineering, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China)

  • Rongfeng Li

    (School of Intelligent Technology, Chongqing Preschool Education College, Wanzhou, Chongqing 404047, China)

  • Longzhou Cao

    (School of Three Gorges Artificial Intelligence, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China)

  • Yuming Feng

    (School of Computer Science and Engineering, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China
    School of Mathematical and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, China)

  • Babatunde Oluwaseun Onasanya

    (Department of Mathematics, University of Ibadan, Ibadan 200005, Nigeria)

Abstract

In this paper, based on a three-dimensional Bao system, a memristor-based hyper-chaotic Bao-like system is successfully constructed, and a simulated equivalent circuit is designed, which is used to verify the chaotic behaviors of the system. Meanwhile, a control method called periodically intermittent control with variable control width is proposed. The control width sequence in the proposed method is not only variable, but also monotonically decreasing, and the method can effectively stabilize most existing nonlinear systems. Moreover, the memristor-based hyper-chaotic Bao-like system is controlled by combining the proposed method with the Lyapunov stability principle. Finally, we should that the proposed method can effectively control and stabilize not only the proposed hyper-chaotic system, but also the Chua’s oscillator.

Suggested Citation

  • Kun Li & Rongfeng Li & Longzhou Cao & Yuming Feng & Babatunde Oluwaseun Onasanya, 2023. "Periodically Intermittent Control of Memristor-Based Hyper-Chaotic Bao-like System," Mathematics, MDPI, vol. 11(5), pages 1-17, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1264-:d:1088781
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    References listed on IDEAS

    as
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