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    Area of Science:

    • Distributed Systems
    • Cybersecurity
    • Signal Processing

    Background:

    • False data-injection (FDI) attacks compromise distributed algorithms by tampering with agent data, hindering accurate parameter estimation.
    • Existing FDI attack detection algorithms often suffer from poor detection rates and low efficiency due to the concealed nature of malicious data.

    Purpose of the Study:

    • To propose a novel distributed diffusion least-mean-square (DLMS) algorithm integrated with a cross-verification (CV) mechanism to counter FDI attacks.
    • To enhance the detection performance and efficiency of distributed algorithms against sophisticated data tampering methods.

    Main Methods:

    • Introduction of a distributed diffusion least-mean-square with cross-verification (DLMS-CV) algorithm comprising detection and secure estimation subsystems.
    • Implementation of a smoothness strategy within the CV mechanism to improve detection capabilities.
    • Analysis of algorithm convergence and formulation of an adaptive threshold design.

    Main Results:

    • The proposed DLMS-CV algorithm demonstrates improved detection performance against FDI attacks.
    • Probabilities of missing and false alarms decay exponentially with a sufficiently small step size.
    • Simulation experiments validate the effectiveness and simplicity of the DLMS-CV algorithm compared to existing methods.

    Conclusions:

    • The DLMS-CV algorithm offers a robust solution for detecting FDI attacks in distributed systems.
    • The introduced smoothness strategy and adaptive threshold enhance detection accuracy and reliability.
    • The algorithm provides a significant advancement in securing distributed estimations against data injection threats.