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.

中文翻译：

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具有执行器故障的随机复杂网络的量化自适应实用固定时间同步

本文研究了量化自适应容错控制方案下随机复杂网络（CN）的实际固定时间同步。获得了更准确的随机稳定时间上限估计，并通过针对实际固定时间概率稳定性 (PFTP) 提出的新引理导出了新颖的残差集。基于改进引理设计了量化自适应控制方案，可以处理神经网络中未知的执行器故障和扰动。此外，所提出的控制策略可以使随机CN实现实用的概率固定时间同步（PFSP）。此外，通过蔡氏电路的例子证实了所提出方法的有效性。