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Adaptive synchronization of memristor-based BAM neural networks with mixed delays

Author

Listed:
  • Chen, Chuan
  • Li, Lixiang
  • Peng, Haipeng
  • Yang, Yixian

Abstract

This paper investigates the adaptive synchronization of memristor-based BAM neural networks (MBAMNNs) with discrete delay and distributed delay (mixed delays). We design two kinds of adaptive feedback controllers, under which the considered MBAMNNs can achieve asymptotic synchronization and exponential synchronization respectively. The adaptive feedback controllers can be utilized even when there is no perfect knowledge of the system parameters. Furthermore, computing algebraic conditions and solving linear matrix inequalities are not needed to determine suitable control gains. Numerical simulations illustrate the effectiveness of the theoretical results.

Suggested Citation

  • Chen, Chuan & Li, Lixiang & Peng, Haipeng & Yang, Yixian, 2018. "Adaptive synchronization of memristor-based BAM neural networks with mixed delays," Applied Mathematics and Computation, Elsevier, vol. 322(C), pages 100-110.
    • Handle: RePEc:eee:apmaco:v:322:y:2018:i:c:p:100-110
    DOI: 10.1016/j.amc.2017.11.037
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    Citations

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    Cited by:

    1. Luo, Mengzhuo & Liu, Xinzhi & Zhong, Shouming & Cheng, Jun, 2018. "Synchronization of stochastic complex networks with discrete-time and distributed coupling delayed via hybrid nonlinear and impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 381-393.
    2. Ganesan, Bhuvaneshwari & Annamalai, Manivannan, 2023. "Anti-synchronization analysis of chaotic neural networks using delay product type looped-Lyapunov functional," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    3. Zhen Yang & Zhengqiu Zhang, 2023. "New Results on Finite-Time Synchronization of Complex-Valued BAM Neural Networks with Time Delays by the Quadratic Analysis Approach," Mathematics, MDPI, vol. 11(6), pages 1-21, March.
    4. Pratap, A. & Raja, R. & Cao, J. & Lim, C.P. & Bagdasar, O., 2019. "Stability and pinning synchronization analysis of fractional order delayed Cohen–Grossberg neural networks with discontinuous activations," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 241-260.
    5. Ding, Kui & Zhu, Quanxin, 2019. "H∞ synchronization of uncertain stochastic time-varying delay systems with exogenous disturbance via intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 244-256.
    6. Korneev, I.A. & Semenov, V.V. & Slepnev, A.V. & Vadivasova, T.E., 2021. "The impact of memristive coupling initial states on travelling waves in an ensemble of the FitzHugh–Nagumo oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    7. Adel Ouannas & Mouna Abdelli & Zaid Odibat & Xiong Wang & Viet-Thanh Pham & Giuseppe Grassi & Ahmed Alsaedi, 2019. "Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System," Complexity, Hindawi, vol. 2019, pages 1-8, February.
    8. Bao, Yuangui & Zhang, Yijun & Zhang, Baoyong, 2021. "Fixed-time synchronization of coupled memristive neural networks via event-triggered control," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    9. Qin, Xiaoli & Wang, Cong & Li, Lixiang & Peng, Haipeng & Yang, Yixian & Ye, Lu, 2018. "Finite-time modified projective synchronization of memristor-based neural network with multi-links and leakage delay," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 302-315.
    10. Chen, Chuan & Li, Lixiang & Peng, Haipeng & Kurths, Jürgen & Yang, Yixian, 2018. "Fixed-time synchronization of hybrid coupled networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 49-56.
    11. Chen, Chuan & Li, Lixiang & Peng, Haipeng & Yang, Yixian & Mi, Ling & Qiu, Baolin, 2019. "Fixed-time projective synchronization of memristive neural networks with discrete delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    12. Liu, Yamin & Xuan, Zuxing & Wang, Zhen & Zhou, Jianping & Liu, Yajuan, 2020. "Sampled-data exponential synchronization of time-delay neural networks subject to random controller gain perturbations," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    13. Narayanan, G. & Syed Ali, M. & Karthikeyan, Rajagopal & Rajchakit, Grienggrai & Jirawattanapanit, Anuwat, 2022. "Novel adaptive strategies for synchronization control mechanism in nonlinear dynamic fuzzy modeling of fractional-order genetic regulatory networks," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    14. Tu, Zhengwen & Zhao, Yongxiang & Ding, Nan & Feng, Yuming & Zhang, Wei, 2019. "Stability analysis of quaternion-valued neural networks with both discrete and distributed delays," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 342-353.

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