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An asymmetric Lyapunov-Krasovskii functional approach for event-triggered consensus of multi-agent systems with deception attacks

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  • Jeong, Juyoung
  • Lim, Yongdo
  • Parivallal, Arumugam

Abstract

This study provides an asymmetric Lyapunov–Krasovskii functional (LKF) to address the leader-following consensus of multi-agent systems (MASs) subject to deception attacks. To reduce unwanted signal transmissions between agents, we employ an event-triggering scheme. Also, a stochastic variable following a Bernoulli distribution is used to describe whether the communication among agents are affected by deception attack signals. A connected interaction graph is presented to describe the flow of information among neighboring agents. The considered problem is first modified into a stabilization problem by using the properties of algebraic graph theory. Then, we design a novel asymmetric LKF to show the desired stability conditions in the form of linear matrix inequalities (LMIs), which lead us the consensus of the chosen MAS. The efficacy of the obtained results is validated via illustrative examples.

Suggested Citation

  • Jeong, Juyoung & Lim, Yongdo & Parivallal, Arumugam, 2023. "An asymmetric Lyapunov-Krasovskii functional approach for event-triggered consensus of multi-agent systems with deception attacks," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    • Handle: RePEc:eee:apmaco:v:439:y:2023:i:c:s0096300322006579
    DOI: 10.1016/j.amc.2022.127584
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    References listed on IDEAS

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    1. Wang, Dongji & Chen, Fei & Meng, Bo & Hu, Xingliu & Wang, Jing, 2021. "Event-based secure H∞ load frequency control for delayed power systems subject to deception attacks," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    2. Hao Wang & Zhaoliang Sheng & Chong Lin & Bing Chen, 2022. "Asymmetric Lyapunov–Krasovskii functional method for admissibility analysis and stabilisation of T-S fuzzy singular systems with time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(14), pages 2998-3009, October.
    3. Chen, Liping & Li, Xiaomin & Chen, YangQuan & Wu, Ranchao & Lopes, António M. & Ge, Suoliang, 2022. "Leader-follower non-fragile consensus of delayed fractional-order nonlinear multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 414(C).
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    Cited by:

    1. Long Jian & Yongfeng Lv & Rong Li & Liwei Kou & Gengwu Zhang, 2023. "Distributed Disturbance Observer-Based Containment Control of Multi-Agent Systems via an Event-Triggered Approach," Mathematics, MDPI, vol. 11(10), pages 1-12, May.
    2. Shoubo Jin & Guanghui Zhang, 2023. "Adaptive Consensus of the Stochastic Leader-Following Multi-Agent System with Time Delay," Mathematics, MDPI, vol. 11(16), pages 1-18, August.
    3. Yang, Yang & Wang, Xue & Wu, Yingcheng & Yue, Wenbin, 2023. "Dynamic average consensus control based on event-triggered cloud access," Applied Mathematics and Computation, Elsevier, vol. 453(C).

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