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<p>In this paper, the state estimation problem is investigated for a class of continuous-time delayed fractional-order complex networks&#xa0;(FOCNs). For the FOCN under consideration, only the outputs from a fraction of nodes are available, that is, so-called partial-nodes-based (PNB) fractional-order state estimation (FOSE) problem. Meanwhile, in order to reduce transmission load, a general event-triggering rule is considered in the design of the fractional-order state estimator (FOSEr). A novel FOSEr is constructed, and some easy-to-check conditions are derived such that the error dynamic is exponentially ultimately bounded. Furthermore, it is demonstrated that the Zeno behavior can be excluded from the event-triggered rules. Lastly, a numerical simulation is provided to further exemplify the efficacy of theoretical findings.</p>

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Event-Triggered Partial-Nodes-Based State Estimation for Fractional-Order Delayed Complex Networks

  • 期刊论文

  • 发表日期：

    2026年4月21日

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  • Zhi Qiao,
  • Luyang Yu,
  • Yurong Liu

摘要

In this paper, the state estimation problem is investigated for a class of continuous-time delayed fractional-order complex networks (FOCNs). For the FOCN under consideration, only the outputs from a fraction of nodes are available, that is, so-called partial-nodes-based (PNB) fractional-order state estimation (FOSE) problem. Meanwhile, in order to reduce transmission load, a general event-triggering rule is considered in the design of the fractional-order state estimator (FOSEr). A novel FOSEr is constructed, and some easy-to-check conditions are derived such that the error dynamic is exponentially ultimately bounded. Furthermore, it is demonstrated that the Zeno behavior can be excluded from the event-triggered rules. Lastly, a numerical simulation is provided to further exemplify the efficacy of theoretical findings.