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Global chaos synchronization of the parametrically excited Duffing oscillators by linear state error feedback control

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  • Wu, Xiaofeng
  • Cai, Jianping
  • Wang, Muhong

Abstract

The paper deals with a linear state error feedback control technique which is utilized to synchronize two parametrically excited non-autonomous Duffing oscillators. Some sufficient criteria for global chaos synchronization are obtained by means of Lyapunov’s direct method. A few examples are illustrated to verify the proposed theoretical results.

Suggested Citation

  • Wu, Xiaofeng & Cai, Jianping & Wang, Muhong, 2008. "Global chaos synchronization of the parametrically excited Duffing oscillators by linear state error feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 121-128.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:1:p:121-128
    DOI: 10.1016/j.chaos.2006.06.014
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    References listed on IDEAS

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    1. Park, Ju H., 2005. "Stability criterion for synchronization of linearly coupled unified chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1319-1325.
    2. Elabbasy, E.M. & Agiza, H.N. & El-Dessoky, M.M., 2005. "Global synchronization criterion and adaptive synchronization for new chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1299-1309.
    3. Lei, Youming & Xu, Wei & Shen, Jianwei & Fang, Tong, 2006. "Global synchronization of two parametrically excited systems using active control," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 428-436.
    4. Lin, Jui-Sheng & Yan, Jun-Juh & Liao, Teh-Lu, 2005. "Chaotic synchronization via adaptive sliding mode observers subject to input nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 371-381.
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    Cited by:

    1. Yao, Qijia, 2021. "Synchronization of second-order chaotic systems with uncertainties and disturbances using fixed-time adaptive sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    2. Yao, Qijia, 2021. "Neural adaptive learning synchronization of second-order uncertain chaotic systems with prescribed performance guarantees," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    3. Caneco, Acilina & Grácio, Clara & Leonel Rocha, J., 2009. "Kneading theory analysis of the Duffing equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1529-1538.
    4. Ke Ding, 2019. "Master-Slave Synchronization of Chaotic Φ 6 Duffing Oscillators by Linear State Error Feedback Control," Complexity, Hindawi, vol. 2019, pages 1-10, October.

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