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Mathematical Modelling and Control

2025, Volume 5, Issue 2: 202-215. doi: 10.3934/mmc.2025015
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Partial-nodes-based state estimation for complex networks under hybrid attacks: a dynamic event-triggered approach

  • School of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074, China
  • Published: 09 June 2025

  • This article addresses the problem of state estimation for complex networks under hybrid cyber attacks. A hybrid model is constructed to encompass cyber attacks in both deception and denial-of-service (DoS) manners. A dynamic event-triggered mechanism (DETM) is brought into the channel between sensors and the estimator for deducing the transmission frequency. Our primary target is to develop an estimator capable of accurately assessing network states, relying on measurements from partially selected network nodes. Taking use of Lyapunov stability theory and stochastic analysis techniques, several criteria are formulated to guarantee the exponentially mean square ultimate boundedness (EMSUB) of the estimation error dynamics. The estimator gains are determined by resolving specific matrix inequalities. To illustrate the efficacy of our newly devised estimator design approach, a numerical example is provided along with corresponding simulations.

    Citation: Lu Zhou, Jin Hu, Bing Li. Partial-nodes-based state estimation for complex networks under hybrid attacks: a dynamic event-triggered approach[J]. Mathematical Modelling and Control, 2025, 5(2): 202-215. doi: 10.3934/mmc.2025015

    Related Papers:

  • This article addresses the problem of state estimation for complex networks under hybrid cyber attacks. A hybrid model is constructed to encompass cyber attacks in both deception and denial-of-service (DoS) manners. A dynamic event-triggered mechanism (DETM) is brought into the channel between sensors and the estimator for deducing the transmission frequency. Our primary target is to develop an estimator capable of accurately assessing network states, relying on measurements from partially selected network nodes. Taking use of Lyapunov stability theory and stochastic analysis techniques, several criteria are formulated to guarantee the exponentially mean square ultimate boundedness (EMSUB) of the estimation error dynamics. The estimator gains are determined by resolving specific matrix inequalities. To illustrate the efficacy of our newly devised estimator design approach, a numerical example is provided along with corresponding simulations.



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