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Generalized intermittent control and its adaptive strategy on stabilization and synchronization of chaotic systems

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  • Hu, Cheng
  • Yu, Juan

Abstract

In this paper, the stabilization and synchronization of chaotic systems are investigated by means of intermittent control. At first, a generalized intermittent control and its adaptive strategy are introduced, in which the traditional periodic intermittent control and the aperiodic case are unified. Based on the designed control protocols, by applying comparison principle, the method of piecewise auxiliary function, piecewise analysis technique and the theory of series, some novel and effective criteria are derived to ensure the stabilization and synchronization of chaotic systems. Finally, two numerical examples are provided to verify the theoretical results.

Suggested Citation

  • Hu, Cheng & Yu, Juan, 2016. "Generalized intermittent control and its adaptive strategy on stabilization and synchronization of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 262-269.
    • Handle: RePEc:eee:chsofr:v:91:y:2016:i:c:p:262-269
    DOI: 10.1016/j.chaos.2016.06.004
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    References listed on IDEAS

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    1. Yihan Fan & Hongmei Liu & Jun Mei, 2015. "Semiglobal Finite-Time Synchronization of Complex Dynamical Networks via Periodically Intermittent Control," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-12, May.
    2. Deissenberg, Christophe, 1980. "Optimal Control of Linear Econometric Models with Intermittent Controls," Economic Change and Restructuring, Springer, vol. 16(1), pages 49-56.
    3. Liang, Yi & Wang, Xingyuan, 2014. "Synchronization in complex networks with non-delay and delay couplings via intermittent control with two switched periods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 434-444.
    4. Yassen, M.T., 2005. "Controlling chaos and synchronization for new chaotic system using linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 913-920.
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    Cited by:

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    2. Ding, Dawei & Yan, Jie & Wang, Nian & Liang, Dong, 2017. "Pinning synchronization of fractional order complex-variable dynamical networks with time-varying coupling," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 41-50.
    3. Huang, Yuanyuan & Huang, Huijun & Huang, Yunchang & Wang, Yinhe & Yu, Fei & Yu, Beier & Liu, Chenghao, 2024. "Asymptotic shape synchronization in three-dimensional chaotic systems and its application in color image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    4. Guo, Beibei & Xiao, Yu, 2023. "Intermittent synchronization for multi-link and multi-delayed large-scale systems with semi-Markov jump and its application of Chua’s circuits," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    5. Zhang, Lingzhong & Lu, Jianquan & Jiang, Bangxin & Huang, Chi, 2023. "Distributed synchronization of delayed dynamic networks under asynchronous delay-dependent impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    6. Isidore Komofor Ngongiah & Balamurali Ramakrishnan & Hayder Natiq & Justin Roger Mboupda Pone & Gaetan Fautso Kuiate, 2022. "Josephson junction based on high critical-temperature superconductors: analysis, microcontroller implementation, and suppression of coexisting and chaotic attractors," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-13, September.
    7. Zhang, Lingzhong & Zhong, Jie & Lou, Jungang & Liu, Yang & Lu, Jianquan, 2023. "Bipartite secure synchronization for dynamic networks under deception attacks via delay-dependent impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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