This paper is dedicated to researching the problem of the state estimation for two-time-scale complex networks (TTSCNs) subject to sojourn probabilities (SPs) under channel fadings and false data injection attacks (FDIAs). The network’s switching topology is governed by a novel switching law that incorporates time-varying SPs, with the variation of SPs being regulated through a persistent dwell-time (PDT) switching signal. Meanwhile, for the sake of achieving energy savings and mitigating data congestion, the dynamic probabilistic event-triggered weighted try-once-discard (DPEWTOD) policy is innovatively developed by integrating with the major merits of the dynamic probabilistic event-triggered mechanism (DPETM) and WTOD protocol (WTODP) based on hybrid compensation. Different from the traditional communication rules, this DPEWTOD concept not only captures stochastic behavior of the dynamic triggering threshold (DTT), but also enables a compensatory measurement that closely approximates the actual value. Subsequently, we construct time delay-, DTT-, and PDT-dependent Lyapunov functionals to analyze the stability of error dynamic systems in the presence of fading and malicious FDIAs. By employing a separation technique, our proposed solving algorithm transforms non-convex analysis conditions into tractable ones. Eventually, the rationality and effectiveness of the proposed method are demonstrated by an resistance–capacitance (RC) circuit example.

中文翻译：

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具有非齐次停留概率的两时间尺度复杂网络的基于协议的状态估计


本文致力于研究信道衰落和虚假数据注入攻击（FDIA）下受停留概率（SP）影响的两倍时间尺度复杂网络（TTSCN）的状态估计问题。该网络的开关拓扑由一种新颖的开关法则控制，该法则包含时变的 SP，SP 的变化通过持续停留时间 (PDT) 开关信号进行调节。同时，为了实现节能、缓解数据拥塞，结合动态概率事件触发机制（DPETM）的主要优点，创新性地开发了动态概率事件触发加权尝试丢弃（DPEWTOD）策略。以及基于混合补偿的WTOD协议（WTODP）。与传统的通信规则不同，这种 DPEWTOD 概念不仅捕获动态触发阈值 (DTT) 的随机行为，而且还能够实现非常接近实际值的补偿测量。随后，我们构建了依赖于时间延迟、DTT 和 PDT 的 Lyapunov 泛函来分析存在衰落和恶意 FDIA 的情况下误差动态系统的稳定性。通过采用分离技术，我们提出的求解算法将非凸分析条件转换为易于处理的分析条件。最终，通过电阻电容（RC）电路示例证明了所提方法的合理性和有效性。