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Finite-time synchronization for different dimensional fractional-order complex dynamical networks

Author

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  • Lu, Jiyong
  • Guo, Yanping
  • Ji, Yude
  • Fan, Shuangshuang

Abstract

This article is involved with the finite-time synchronization problem between two different dimensional fractional-order complex dynamical networks (FOCDNs). Firstly, the definition of finite-time synchronization for different dimensional FOCDNs are introduced. Under the framework of finite-time control theory and fractional-order Lyapunov functional method, the controller is designed such that the FOCDNs are synchronized in a finite time. Secondly, some unknown parameters are adopted in the FOCDNs, novel adaptive updated control law and dynamical parameter estimation are proposed to guarantee that the finite-time synchronization can be obtained to achieve the desired conclusions. Furthermore, the setting times for synchronization of FOCDNs are explicitly evaluated. Finally, a numerical example is presented to demonstrate the effectiveness of proposed control algorithms.

Suggested Citation

  • Lu, Jiyong & Guo, Yanping & Ji, Yude & Fan, Shuangshuang, 2020. "Finite-time synchronization for different dimensional fractional-order complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303790
    DOI: 10.1016/j.chaos.2019.109433
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    References listed on IDEAS

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    1. Zhang, Gang & Liu, Zengrong & Ma, Zhongjun, 2007. "Generalized synchronization of different dimensional chaotic dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 773-779.
    2. Yang, Xujun & Li, Chuandong & Huang, Tingwen & Song, Qiankun & Huang, Junjian, 2018. "Synchronization of fractional-order memristor-based complex-valued neural networks with uncertain parameters and time delays," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 105-123.
    3. Hajipour, Ahamad & Hajipour, Mojtaba & Baleanu, Dumitru, 2018. "On the adaptive sliding mode controller for a hyperchaotic fractional-order financial system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 139-153.
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    1. Shirkavand, Mehrdad & Pourgholi, Mahdi & Yazdizadeh, Alireza, 2022. "Robust global fixed-time synchronization of different dimensions fractional-order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).

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