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Finite-time projective synchronization of memristor-based neural networks with leakage and time-varying delays

Author

Listed:
  • Qin, Xiaoli
  • Wang, Cong
  • Li, Lixiang
  • Peng, Haipeng
  • Yang, Yixian
  • Ye, Lu

Abstract

This paper is concerned with the finite-time projective synchronization problem of memristor-based neural networks(MNNs) with leakage and time-varying delays. The finite-time modified projective synchronization and function projective synchronization theorems are proposed, and the approach of Lyapunov stability and two different finite-time synchronization methods are adopted in the proof processes. Based on time-delay correlation and irrelevant problem, two different controllers are designed, and several stability conditions are presented to ensure that the drive–response systems achieve the finite-time synchronization with arbitrary continuous bounded functions. Meanwhile, several corollaries about the special cases of finite-time projective synchronization are given along with the theorems. Finally, two numerical simulations are carried out to illustrate the effectiveness and verify our results.

Suggested Citation

  • Qin, Xiaoli & Wang, Cong & Li, Lixiang & Peng, Haipeng & Yang, Yixian & Ye, Lu, 2019. "Finite-time projective synchronization of memristor-based neural networks with leakage and time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    • Handle: RePEc:eee:phsmap:v:531:y:2019:i:c:s037843711931043x
    DOI: 10.1016/j.physa.2019.121788
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    Citations

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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. He, Jin-Man & Pei, Li-Jun, 2023. "Function matrix projection synchronization for the multi-time delayed fractional order memristor-based neural networks with parameter uncertainty," Applied Mathematics and Computation, Elsevier, vol. 454(C).
    3. 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).
    4. Liu, Dan & Wang, Zidong & Liu, Yurong & Alsaadi, Fuad E., 2021. "Recursive filtering for stochastic parameter systems with measurement quantizations and packet disorders," Applied Mathematics and Computation, Elsevier, vol. 398(C).
    5. Shuang Wang & Hai Zhang & Weiwei Zhang & Hongmei Zhang, 2021. "Finite-Time Projective Synchronization of Caputo Type Fractional Complex-Valued Delayed Neural Networks," Mathematics, MDPI, vol. 9(12), pages 1-14, June.

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