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Synchronisation control of composite chaotic systems

Author

Listed:
  • Jindao Zha
  • Chunbiao Li
  • Bing Song
  • Wen Hu

Abstract

Synchronisation conditions are studied for composite chaotic systems with complex compound structure and the signum function based on the theorem of zero-solution stability for a class of linear time-varying systems with countable discontinuous points. The synchronisation controller and its gain range are deduced according to the stability theorem, where the gain of the controller can speed synchronisation. Numerical simulation further proves the control theory and the validity of the synchronisation controller. The proposed controller can be widely applied in those chaotic systems with switch functions or other hybrid chaotic systems.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3952-3959
    DOI: 10.1080/00207721.2016.1157224
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    References listed on IDEAS

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    4. Zhang, Lili & Wang, Yinhe & Huang, Yuanyuan & Chen, Xuesong, 2015. "Delay-dependent synchronization for non-diffusively coupled time-varying complex dynamical networks," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 510-522.
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