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Event-triggered synchronization of coupled memristive neural networks

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  • Zhu, Sha
  • Bao, Haibo

Abstract

This article is devoted to exploring the synchronization problem of coupled memristive neural networks (CMNN) under event-triggered control (ETC) for the first time. Firstly, combining the concept of Filippov solution with the theory of differential inclusion, the interval parameter system is introduced. Then, static event-triggered control (SETC) condition and dynamic event-triggered control (DETC) condition are given respectively based on a newly designed controller. Thirdly, some novel sufficient conditions are given to synchronize CMNN under ETC scheme by applying Lyapunov function and inequality techniques. Moreover, the positive lower bound of the trigger interval is calculated explicitly, which reveals that Zeno-behavior could be removed. Lastly, the validity of the provided ETC mechanism is further confirmed by an example.

Suggested Citation

  • Zhu, Sha & Bao, Haibo, 2022. "Event-triggered synchronization of coupled memristive neural networks," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    • Handle: RePEc:eee:apmaco:v:415:y:2022:i:c:s0096300321007992
    DOI: 10.1016/j.amc.2021.126715
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    Cited by:

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    4. Shichao Jia & Cheng Hu & Haijun Jiang, 2024. "Fixed/Preassigned-Time Synchronization of Fuzzy Memristive Fully Quaternion-Valued Neural Networks Based on Event-Triggered Control," Mathematics, MDPI, vol. 12(9), pages 1-31, April.
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    6. Tang, Tianfeng & Qin, Gang & Zhang, Bin & Cheng, Jun & Cao, Jinde, 2024. "Event-based asynchronous state estimation for Markov jump memristive neural networks," Applied Mathematics and Computation, Elsevier, vol. 473(C).
    7. Shi, Sangli & Wang, Zhengxin & Song, Qiang & Xiao, Min & Jiang, Guo-Ping, 2022. "Leader-following quasi-bipartite synchronization of coupled heterogeneous harmonic oscillators via event-triggered control," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    8. Yuan, Manman & Luo, Xiong & Mao, Xue & Han, Zhen & Sun, Lei & Zhu, Peican, 2022. "Event-triggered hybrid impulsive control on lag synchronization of delayed memristor-based bidirectional associative memory neural networks for image hiding," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    9. Deng, Jie & Li, Hong-Li & Cao, Jinde & Hu, Cheng & Jiang, Haijun, 2023. "State estimation for discrete-time fractional-order neural networks with time-varying delays and uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    10. Zhou, Chao & Wang, Chunhua & Yao, Wei & Lin, Hairong, 2022. "Observer-based synchronization of memristive neural networks under DoS attacks and actuator saturation and its application to image encryption," Applied Mathematics and Computation, Elsevier, vol. 425(C).

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