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Volume 7 Issue 5
Sep.  2020

IEEE/CAA Journal of Automatica Sinica

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Wangli He, Zekun Mo, Qing-Long Han and Feng Qian, "Secure Impulsive Synchronization in Lipschitz-Type Multi-Agent Systems Subject to Deception Attacks," IEEE/CAA J. Autom. Sinica, vol. 7, no. 5, pp. 1326-1334, Sept. 2020. doi: 10.1109/JAS.2020.1003297
Citation: Wangli He, Zekun Mo, Qing-Long Han and Feng Qian, "Secure Impulsive Synchronization in Lipschitz-Type Multi-Agent Systems Subject to Deception Attacks," IEEE/CAA J. Autom. Sinica, vol. 7, no. 5, pp. 1326-1334, Sept. 2020. doi: 10.1109/JAS.2020.1003297

Secure Impulsive Synchronization in Lipschitz-Type Multi-Agent Systems Subject to Deception Attacks

doi: 10.1109/JAS.2020.1003297
Funds:  This work was supported by the National Natural Science Foundation of China (61988101, 61922030, 61773163), Shanghai Rising-Star Program (18QA1401400), the International (Regional) Cooperation and Exchange Project (61720106008), the Natural Science Foundation of Shanghai (17ZR1406800), the Fundamental Research Funds for the Central Universities, and the 111 Project (B17017)
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  • Cyber attacks pose severe threats on synchronization of multi-agent systems. Deception attack, as a typical type of cyber attack, can bypass the surveillance of the attack detection mechanism silently, resulting in a heavy loss. Therefore, the problem of mean-square bounded synchronization in multi-agent systems subject to deception attacks is investigated in this paper. The control signals can be replaced with false data from controller-to-actuator channels or the controller. The success of the attack is measured through a stochastic variable. A distributed impulsive controller using a pinning strategy is redesigned, which ensures that mean-square bounded synchronization is achieved in the presence of deception attacks. Some sufficient conditions are derived, in which upper bounds of the synchronization error are given. Finally, two numerical simulations with symmetric and asymmetric network topologies are given to illustrate the theoretical results.


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    • A mathematical model of leader-following MASs with distributed impulsive control suffered from replacement deception attacks is built, in which the data integrity is destroyed by the occasional replacement of the control signal with the injected bad data. A stochastic variable following Bernoulli distribution is introduced to describe if the attack is successful.
    • Sufficient conditions for mean-square bounded synchronization are derived in which the nonzero upper bound of the error is given. The attack intensity and the attack tolerance probability related to the design of the impulsive interval, coupling strength are discussed.
    • For symmetric networks, how to choose the coupling strength, the impulsive interval and the attack intensity and probability the systems can render are also given.
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    • An asymmetric barrier Lyapunov functions (ABLFs) based neural control is proposed.
    • All states are guaranteed to stay in the pre-given time-varying ranges within finite time.
    • The system output is driven to track the desired signal as quickly as possible.


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