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Quasi-synchronization of fractional-order heterogeneous dynamical networks via aperiodic intermittent pinning control

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  • Cai, Shuiming
  • Hou, Meiyuan

Abstract

This paper focuses on the quasi-synchronization problem for fractional-order heterogeneous dynamical networks via aperiodic intermittent pinning control. First, based on the properties of the Mittag–Leffler function, a new fractional-order differential inequality is established. By utilizing the new inequality and Lyapunov function method, a general sufficient condition is then derived to ensure the addressed dynamical networks can achieve global quasi-synchronization through pinning part of the network nodes with simple aperiodic intermittent controllers, which is followed by some easily-verified quasi-synchronization criteria. In addition, the exponential convergence rate and the error bound of the quasi-synchronization are also estimated, respectively. Moreover, a detailed algorithm about how to design suitable aperiodic intermittent pinning controllers is provided. Finally, a numerical example is presented to verify the validity of theoretical analysis.

Suggested Citation

  • Cai, Shuiming & Hou, Meiyuan, 2021. "Quasi-synchronization of fractional-order heterogeneous dynamical networks via aperiodic intermittent pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    • Handle: RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921002551
    DOI: 10.1016/j.chaos.2021.110901
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    6. Shi, Lingna & Li, Jiarong & Jiang, Haijun & Wang, Jinling, 2023. "Quasi-synchronization of multi-layer delayed neural networks with parameter mismatches via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    7. Zhang, Lingzhong & Zhong, Jie & Lou, Jungang & Liu, Yang & Lu, Jianquan, 2023. "Bipartite secure synchronization for dynamic networks under deception attacks via delay-dependent impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    8. Shi, Jinyao & Zhou, Peipei & Cai, Shuiming & Jia, Qiang, 2023. "Exponential synchronization for multi-weighted dynamic networks via finite-level quantized control with adaptive scaling gain," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    9. Sun, Wenjing & Tang, Ze & Feng, Jianwen & Park, Ju H., 2024. "Quasi-synchronization of heterogeneous neural networks with hybrid time delays via sampled-data saturating impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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