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Article

An Improved DHKE-Based Encryption–Decryption Mechanism for Formation Control of MASs Under Hybrid Attacks

School of Cyber Science and Engineering, Sichuan University, Chengdu 610207, China
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Author to whom correspondence should be addressed.
Electronics 2026, 15(2), 401; https://doi.org/10.3390/electronics15020401
Submission received: 15 December 2025 / Revised: 14 January 2026 / Accepted: 15 January 2026 / Published: 16 January 2026
(This article belongs to the Special Issue Multi-Agent Systems: Applications and Directions)

Abstract

This work studies the formation control problem of general linear multi-agent systems (MASs) under hybrid attacks that include man-in-the-middle attacks (MITM) and denial-of-service attacks (DoS). First, an improved Diffie–Hellman key exchange (DHKE)-based encryption–decryption mechanism is proposed. This mechanism combines the challenge–response mechanism and hash function, which can achieve identity authentication, detect MITM attacks and ensure the confidentiality and integrity of information. Second, considering that DoS attacks on different channels are independent, a division model for distributed DoS attacks is established, which can classify attacks into different patterns. Third, an edge-based event-triggered (ET) formation control scheme is proposed. This control method only relies on the information of neighbor agents, which not only saves communication resources but also resists distributed DoS attacks. Finally, sufficient conditions for the implementation of formation control for MASs under hybrid attacks are provided, and the effectiveness and advantages of the proposed strategy are verified by simulation.
Keywords: the Diffie-Hellman key exchange (DHKE) protocol; edge-based event-triggered (ET) control strategy; multi-agent systems (MASs); distributed DoS attacks; MITM attacks the Diffie-Hellman key exchange (DHKE) protocol; edge-based event-triggered (ET) control strategy; multi-agent systems (MASs); distributed DoS attacks; MITM attacks

Share and Cite

MDPI and ACS Style

Liu, K.; Zhang, R.; Zhang, L. An Improved DHKE-Based Encryption–Decryption Mechanism for Formation Control of MASs Under Hybrid Attacks. Electronics 2026, 15, 401. https://doi.org/10.3390/electronics15020401

AMA Style

Liu K, Zhang R, Zhang L. An Improved DHKE-Based Encryption–Decryption Mechanism for Formation Control of MASs Under Hybrid Attacks. Electronics. 2026; 15(2):401. https://doi.org/10.3390/electronics15020401

Chicago/Turabian Style

Liu, Kairui, Ruimei Zhang, and Linli Zhang. 2026. "An Improved DHKE-Based Encryption–Decryption Mechanism for Formation Control of MASs Under Hybrid Attacks" Electronics 15, no. 2: 401. https://doi.org/10.3390/electronics15020401

APA Style

Liu, K., Zhang, R., & Zhang, L. (2026). An Improved DHKE-Based Encryption–Decryption Mechanism for Formation Control of MASs Under Hybrid Attacks. Electronics, 15(2), 401. https://doi.org/10.3390/electronics15020401

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