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Synchronization of incommensurate fractional order system

Author

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  • Martínez-Guerra, Rafael
  • Pérez-Pinacho, Claudia A.
  • Gómez-Cortés, Gian Carlo
  • Cruz-Victoria, Juan C.

Abstract

In this paper we present a new observer model free type for synchronization of incommensurate fractional order systems. We propose an observer structure that estimates the unknown state variables (master system), the estimates and the output are the slave system. For solving this problem, we introduce a new incommensurate fractional algebraic observability (IFAO) property which is used as the main ingredient in the design of the slave system. Some numerical results show the effectiveness of the suggested approach.

Suggested Citation

  • Martínez-Guerra, Rafael & Pérez-Pinacho, Claudia A. & Gómez-Cortés, Gian Carlo & Cruz-Victoria, Juan C., 2015. "Synchronization of incommensurate fractional order system," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 260-266.
    • Handle: RePEc:eee:apmaco:v:262:y:2015:i:c:p:260-266
    DOI: 10.1016/j.amc.2015.03.121
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    References listed on IDEAS

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    1. Lu, Jun Guo, 2006. "Synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 519-525.
    2. Lu, Jun Guo, 2006. "Nonlinear observer design to synchronize fractional-order chaotic systems via a scalar transmitted signal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 359(C), pages 107-118.
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    Cited by:

    1. Xu, Quan & Xu, Xiaohui & Zhuang, Shengxian & Xiao, Jixue & Song, Chunhua & Che, Chang, 2018. "New complex projective synchronization strategies for drive-response networks with fractional complex-variable dynamics," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 552-566.
    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.

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