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Fixed-time synchronization of coupled memristive neural networks via event-triggered control

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  • Bao, Yuangui
  • Zhang, Yijun
  • Zhang, Baoyong

Abstract

This paper is concerned with the fixed-time synchronization of coupled memristive neural networks (MNNs). To reduce the frequency of controller update, an event-triggered control approach is introduced. For this synchronization problem, the main difficulty lies in how to launch the fixed-time analysis in the parameter unmatching conditions and with event-triggered schemes. For the case when each follower in coupled MNNs have direct access to the leader MNN, a decentralized event-triggered scheme is provided. A distributed event-triggered controller is also designed when the node in coupled MNNs can only get the information of its neighbors. Some sufficient criteria are derived to guarantee the fixed-time event-triggered synchronization of considered coupled MNNs under these two situations, respectively. The upper bounds of the settling time are given and the Zeno behaviour is excluded for the two cases. Two numerical examples are provided to show the effectiveness of the obtained results. A potential application in secure communication is further discussed.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:411:y:2021:i:c:s0096300321006263
    DOI: 10.1016/j.amc.2021.126542
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    References listed on IDEAS

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    1. Li, Ruoxia & Gao, Xingbao & Cao, Jinde, 2019. "Quasi-state estimation and quasi-synchronization control of quaternion-valued fractional-order fuzzy memristive neural networks: Vector ordering approach," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
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    3. Sun, Fenglan & Wang, Rui & Zhu, Wei & Li, Yongfu, 2019. "Flocking in nonlinear multi-agent systems with time-varying delay via event-triggered control," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 66-77.
    4. Chen, Siya & Feng, Jianwen & Wang, Jingyi & Zhao, Yi, 2020. "Almost sure exponential synchronization of drive-response stochastic memristive neural networks," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    5. Wang, Jing & Ru, Tingting & Xia, Jianwei & Wei, Yunliang & Wang, Zhen, 2019. "Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 235-251.
    6. Sakthivel, R. & Anbuvithya, R. & Mathiyalagan, K. & Ma, Yong-Ki & Prakash, P., 2016. "Reliable anti-synchronization conditions for BAM memristive neural networks with different memductance functions," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 213-228.
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    Cited by:

    1. Zhao, Ningning & Qiao, Yuanhua, 2024. "Stability analysis of Clifford-valued memristor-based neural networks with impulsive disturbances and its application to image encryption," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    2. 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).
    3. Wang, Shuzhan & Zhang, Ziye & Lin, Chong & Chen, Jian, 2021. "Fixed-time synchronization for complex-valued BAM neural networks with time-varying delays via pinning control and adaptive pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    4. Babu, N. Ramesh & Balasubramaniam, P., 2022. "Master-slave synchronization of a new fractal-fractional order quaternion-valued neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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