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Adaptive generalized hybrid function projective dislocated synchronization of new four-dimensional uncertain chaotic systems

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  • Sun, Junwei
  • Guo, Jinchao
  • Yang, Cunxiang
  • Zheng, Anping
  • Zhang, Xuncai

Abstract

Based on projective synchronization and function projective synchronization, a novel generalized hybrid function projective dislocated synchronization of new four-dimensional uncertain chaotic systems is investigated. According to the Lyapunov stability theorem, an adaptive hybrid controller for the synchronization of two different four-dimensional chaotic systems is designed, and some parameter update laws for estimating the unknown parameters of these systems are also gained. The synchronization between memristor chaotic oscillator system and hyperchaotic Lü system with linear scaling functions and periodic scaling functions are discussed to show the effectiveness of the proposed methods.

Suggested Citation

  • Sun, Junwei & Guo, Jinchao & Yang, Cunxiang & Zheng, Anping & Zhang, Xuncai, 2015. "Adaptive generalized hybrid function projective dislocated synchronization of new four-dimensional uncertain chaotic systems," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 304-314.
    • Handle: RePEc:eee:apmaco:v:252:y:2015:i:c:p:304-314
    DOI: 10.1016/j.amc.2014.12.004
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    References listed on IDEAS

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    Cited by:

    1. Chen, Xiangyong & Park, Ju H. & Cao, Jinde & Qiu, Jianlong, 2017. "Sliding mode synchronization of multiple chaotic systems with uncertainties and disturbances," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 161-173.
    2. Li, Xian-Feng & Chu, Yan-Dong & Leung, Andrew Y.T. & Zhang, Hui, 2017. "Synchronization of uncertain chaotic systems via complete-adaptive-impulsive controls," Chaos, Solitons & Fractals, Elsevier, vol. 100(C), pages 24-30.
    3. Jindao Zha & Chunbiao Li & Bing Song & Wen Hu, 2016. "Synchronisation control of composite chaotic systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3952-3959, December.

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