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A simple adaptive-feedback scheme for identical synchronizing chaotic systems with uncertain parameters

Author

Listed:
  • Leung, Andrew Y.T.
  • Li, Xian-Feng
  • Chu, Yan-Dong
  • Rao, Xiao-Bo

Abstract

An adaptive-feedback control scheme for identical synchronizing two linearly coupled chaotic systems and identifying uncertain parameters is proposed. In comparison with the previous methods it inherited, the present scheme is more flexible and accessible. This is because that the prerequisites on the given chaotic systems are much looser, and the adaptive-feedback controllers involved are relatively independent. Moreover, the present scheme is a thoroughly amendatory one by which the uncertain parameters can be identified. Three concrete chaotic systems are employed to show the effectiveness of the presented scheme. In addition, how the coefficient in the adaptive law affects the convergence rate and the final strength is studied numerically.

Suggested Citation

  • Leung, Andrew Y.T. & Li, Xian-Feng & Chu, Yan-Dong & Rao, Xiao-Bo, 2015. "A simple adaptive-feedback scheme for identical synchronizing chaotic systems with uncertain parameters," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 172-183.
    • Handle: RePEc:eee:apmaco:v:253:y:2015:i:c:p:172-183
    DOI: 10.1016/j.amc.2014.12.076
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    References listed on IDEAS

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    1. Sarasola, C. & Torrealdea, F.J. & d’Anjou, A. & Graña, M., 2002. "Cost of synchronizing different chaotic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 58(4), pages 309-327.
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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. A.G., Soriano–Sánchez & C., Posadas–Castillo & M.A., Platas–Garza & A., Arellano–Delgado, 2018. "Synchronization and FPGA realization of complex networks with fractional–order Liu chaotic oscillators," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 250-262.
    3. 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.

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