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Combination event-triggered adaptive networked synchronization communication for nonlinear uncertain fractional-order chaotic systems

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  • Li, Qiaoping
  • Liu, Sanyang
  • Chen, Yonggang

Abstract

In this paper, the networked synchronization communication for nonlinear uncertain fractional-order chaotic systems is investigated. Notice that the network transmission capacity is limited, a novel combination event-triggered mechanism is designed. Based on the fractional Lyapunov stability criterion and adaptive control technique, an event-triggered adaptive controller is constructed and a sufficient networked synchronization condition for the above-mentioned fractional-order chaotic systems with uncertainties and disturbances is attained. The detailed theoretical derivation and specific numerical simulation demonstrate that the proposed networked synchronization strategy can reduce the burden of network bandwidth effectively without losing the desired synchronization performance. Meanwhile, Zeno phenomenon is excluded.

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  • Li, Qiaoping & Liu, Sanyang & Chen, Yonggang, 2018. "Combination event-triggered adaptive networked synchronization communication for nonlinear uncertain fractional-order chaotic systems," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 521-535.
    • Handle: RePEc:eee:apmaco:v:333:y:2018:i:c:p:521-535
    DOI: 10.1016/j.amc.2018.03.094
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    Cited by:

    1. Yu, Nanxiang & Zhu, Wei, 2021. "Event-triggered impulsive chaotic synchronization of fractional-order differential systems," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    2. Weiqiu Pan & Tianzeng Li & Muhammad Sajid & Safdar Ali & Lingping Pu, 2022. "Parameter Identification and the Finite-Time Combination–Combination Synchronization of Fractional-Order Chaotic Systems with Different Structures under Multiple Stochastic Disturbances," Mathematics, MDPI, vol. 10(5), pages 1-26, February.
    3. Fei Wang & Zhaowen Zheng & Yongqing Yang, 2019. "Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method," Complexity, Hindawi, vol. 2019, pages 1-17, December.

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