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Fault-tolerant fixed/preassigned-time synchronization control of uncertain singularly perturbed complex networks with time-varying delay and stochastic disturbances

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  • Fan, Gaofeng
  • Ma, Yuechao

Abstract

This paper focuses on the fixed-time (FXT) and preassigned-time (PAT) synchronization of uncertain singularly perturbed complex networks (SPCNs) with time-varying delay and stochastic disturbances. Firstly, the fault-tolerant quantized state feedback control strategy for the SPCNs systems to reach PAT and FXT synchronization is considered for the first time. Besides, by adopting suitable Lyapunov functional with parameter ɛ, with an approach of comparison system and mathematical techniques, the FXT synchronization criteria can be obtained. Next, the PAT synchronization can also be derived, which the synchronization time will be pre-designed based on the actual case. Finally, two simulation examples are presented to verify the effectiveness of the obtained results.

Suggested Citation

  • Fan, Gaofeng & Ma, Yuechao, 2023. "Fault-tolerant fixed/preassigned-time synchronization control of uncertain singularly perturbed complex networks with time-varying delay and stochastic disturbances," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002953
    DOI: 10.1016/j.chaos.2023.113394
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    References listed on IDEAS

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    1. Liang, Kun & Dai, Mingcheng & Shen, Hao & Wang, Jing & Wang, Zhen & Chen, Bo, 2018. "L2−L∞ synchronization for singularly perturbed complex networks with semi-Markov jump topology," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 450-462.
    2. Pharunyou Chanthorn & Grienggrai Rajchakit & Jenjira Thipcha & Chanikan Emharuethai & Ramalingam Sriraman & Chee Peng Lim & Raja Ramachandran, 2020. "Robust Stability of Complex-Valued Stochastic Neural Networks with Time-Varying Delays and Parameter Uncertainties," Mathematics, MDPI, vol. 8(5), pages 1-19, May.
    3. Alsaade, Fawaz W. & Yao, Qijia & Bekiros, Stelios & Al-zahrani, Mohammed S. & Alzahrani, Ali S. & Jahanshahi, Hadi, 2022. "Chaotic attitude synchronization and anti-synchronization of master-slave satellites using a robust fixed-time adaptive controller," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    4. Wang, Jing & Liang, Kun & Huang, Xia & Wang, Zhen & Shen, Hao, 2018. "Dissipative fault-tolerant control for nonlinear singular perturbed systems with Markov jumping parameters based on slow state feedback," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 247-262.
    5. Shi, Lin & Zhang, Chunmei & Zhong, Shouming, 2021. "Synchronization of singular complex networks with time-varying delay via pinning control and linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    6. Zhao, Yinghong & Ma, Yuechao, 2021. "Asynchronous H∞ control for hidden singular Markov jump systems with incomplete transition probabilities via state decomposition approach," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    7. 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.
    8. M. Syed Ali & N. Gunasekaran & R. Agalya & Young Hoon Joo, 2018. "Non-fragile synchronisation of mixed delayed neural networks with randomly occurring controller gain fluctuations," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(16), pages 3354-3364, December.
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