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Finite-time synchronization of memristive neural networks with parameter uncertainties via aperiodically intermittent adjustment

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  • Zhang, Shuai
  • Yang, Yongqing
  • Sui, Xin
  • Xu, Xianyu

Abstract

This paper is concerned with finite-time synchronization of memristive neural networks with parameter uncertainties by using aperiodically intermittent strategy. Based on the existed finite-time theory of intermittent strategy, a finite-time aperiodically intermittent stability lemma is proposed. In the sense of Filippov’s framework, an appropriate Lyapunov functional is constructed to realize the finite-time synchronization by designing a appropriate aperiodically intermittent controller. The derived sufficient conditions can effectively eliminate the influence of parameter uncertainties and make the systems achieve finite-time synchronization. Finally, a numerical simulation example is given to demonstrate the validity of the sufficient conditions.

Suggested Citation

  • Zhang, Shuai & Yang, Yongqing & Sui, Xin & Xu, Xianyu, 2019. "Finite-time synchronization of memristive neural networks with parameter uncertainties via aperiodically intermittent adjustment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    • Handle: RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119313068
    DOI: 10.1016/j.physa.2019.122258
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    References listed on IDEAS

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    Cited by:

    1. Feng, Liang & Hu, Cheng & Yu, Juan & Jiang, Haijun & Wen, Shiping, 2021. "Fixed-time Synchronization of Coupled Memristive Complex-valued Neural Networks," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    2. Zhou, Wenjia & Hu, Yuanfa & Liu, Xiaoyang & Cao, Jinde, 2022. "Finite-time adaptive synchronization of coupled uncertain neural networks via intermittent control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    3. Mao, Kun & Liu, Xiaoyang & Cao, Jinde & Hu, Yuanfa, 2022. "Finite-time bipartite synchronization of coupled neural networks with uncertain parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    4. Pu, Hao & Li, Fengjun, 2023. "Fixed/predefined-time synchronization of complex-valued discontinuous delayed neural networks via non-chattering and saturation control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 610(C).

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