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Quantized adaptive practical fixed-time synchronization of stochastic complex networks with actuator faults

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  • Hou, Meng
  • He, Qiushi
  • Ma, Yuechao

Abstract

This paper investigates the practical fixed-time synchronization for stochastic complex networks (CNs) under quantized adaptive fault-tolerant control scheme. More accurate upper-bound estimates of stochastic settling time are obtained and novel residual sets are derived via proposed new lemmas for practical fixed-time stability in probability (PFTP). Quantized adaptive control scheme is designed based on the improved lemmas, which can deal with the unknown actuator faults and disturbances in CNs. Moreover, the proposed control strategy can make the stochastic CNs achieve practical fixed-time synchronization in probability (PFSP). In addition, the effectiveness of proposed method is confirmed by an example of Chua’s circuit.

Suggested Citation

  • Hou, Meng & He, Qiushi & Ma, Yuechao, 2024. "Quantized adaptive practical fixed-time synchronization of stochastic complex networks with actuator faults," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    • Handle: RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924001929
    DOI: 10.1016/j.chaos.2024.114641
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    References listed on IDEAS

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    1. Shi, Jinyao & Zhou, Peipei & Cai, Shuiming & Jia, Qiang, 2023. "Exponential synchronization for multi-weighted dynamic networks via finite-level quantized control with adaptive scaling gain," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Mohammad Bagher Ghaemi & Nahid Gharakhanlu & Themistocles M. Rassias & Reza Saadati, 2021. "Advances in Matrix Inequalities," Springer Optimization and Its Applications, Springer, number 978-3-030-76047-2, June.
    3. Shuiming Cai & Shulan Zhuang & Jinyao Shi & Peipei Zhou, 2023. "New fixed-time synchronization results for discontinuous dynamic networks: A novel two-stage analysis approach," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(11), pages 1-30, November.
    4. Sakthivel, N., 2023. "Synchronization of complex dynamical networks subjected to actuator faults and periodic scaling attacks using probabilistic time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
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