Secure Impulsive Control of Singular Markovian Jump Neural Networks Against Hybrid Attacks: A Hybrid Event-Triggered Mechanism
- 1School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China
Abstract
This paper investigates the hybrid event-triggered impulsive control problem of singular Markovian jump neural networks (SMJNNs). The simultaneous presence of denial-of-service (DoS) attacks and deception attacks (DAs) over the communication network is explicitly addressed. To facilitate a bandwidth-adaptive scheduling framework, a mode-dependent dynamic event-triggered mechanism (DETMαid) is proposed, wherein the dynamic threshold is adaptively adjusted by utilizing both real-time bandwidth occupancy and the Markovian mode. Furthermore, to effectively mitigate the severe data losses caused by DoS attacks, an immediate triggering mechanism (DETMαia) is activated at the attack ending instants. Integrating DETMαia and DETMαid yields a hybrid event-triggered mechanism (HETM), which governs the impulsive instants of the designed mode-dependent impulsive controller. In addition, by systematically analyzing the evolution of the constructed Lyapunov–Krasovskii functional (LKF) over both continuous intervals and impulsive instants, LMI-based sufficient conditions are derived to guarantee the global exponential admissibility of the SMJNNs. Finally, numerical simulations and analog resistance–capacitance (RC) network circuit experiments are conducted to demonstrate the effectiveness of the proposed approach.
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BibTeX
@article{xing2026secure,
title = {{Secure Impulsive Control of Singular Markovian Jump Neural Networks Against Hybrid Attacks: A Hybrid Event-Triggered Mechanism}},
author = {Weiwei Xing and Yijun Zhang},
journal = {Mathematics},
year = {2026},
month = oct,
doi = {10.3390/math14193592},
url = {https://www.mdpi.com/2227-7390/14/19/3592},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Secure Impulsive Control of Singular Markovian Jump Neural Networks Against Hybrid Attacks: A Hybrid Event-Triggered Mechanism
AU - Weiwei Xing
AU - Yijun Zhang
PY - 2026
DA - 2026/10/03
JO - Mathematics
DO - 10.3390/math14193592
UR - https://www.mdpi.com/2227-7390/14/19/3592
AB - This paper investigates the hybrid event-triggered impulsive control problem of singular Markovian jump neural networks (SMJNNs). The simultaneous presence of denial-of-service (DoS) attacks and deception attacks (DAs) over the communication network is explicitly addressed. To facilitate a bandwidth-adaptive scheduling framework, a mode-dependent dynamic event-triggered mechanism (DETMαid) is proposed, wherein the dynamic threshold is adaptively adjusted by utilizing both real-time bandwidth occupancy and the Markovian mode. Furthermore, to effectively mitigate the severe data losses caused by DoS attacks, an immediate triggering mechanism (DETMαia) is activated at the attack ending instants. Integrating DETMαia and DETMαid yields a hybrid event-triggered mechanism (HETM), which governs the impulsive instants of the designed mode-dependent impulsive controller. In addition, by systematically analyzing the evolution of the constructed Lyapunov–Krasovskii functional (LKF) over both continuous intervals and impulsive instants, LMI-based sufficient conditions are derived to guarantee the global exponential admissibility of the SMJNNs. Finally, numerical simulations and analog resistance–capacitance (RC) network circuit experiments are conducted to demonstrate the effectiveness of the proposed approach.
SN - 2227-7390
ER -