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Impulsive-Based Almost Surely Synchronization for Neural Network Systems Subject to Deception Attacks.

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    This study addresses neural network synchronization under random deception attacks. We developed criteria to ensure system synchronization despite unpredictable communication disruptions and random impulses.

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    Area of Science:

    • Control Systems
    • Network Security
    • Computational Neuroscience

    Background:

    • Neural network systems (NSSs) face synchronization challenges due to communication network vulnerabilities.
    • Random double deception attacks, including nonlinear functions and desynchronizing impulse sequences, compromise system integrity.
    • Impulsive instants and gains are random, with only their expected values known.

    Purpose of the Study:

    • To investigate the impulsive-based almost surely synchronization of neural network systems (NSSs) under quality-of-service constraints.
    • To develop a novel mathematical model for vulnerable NSSs considering two types of random deception attacks.
    • To establish criteria for achieving almost surely synchronization despite random attacks and impulses.

    Main Methods:

    • Modeling vulnerable NSSs with random double deception attacks.
    • Utilizing the Borel-Cantelli lemma to establish almost surely synchronization criteria.
    • Deriving strong and weak sufficient conditions for synchronization.

    Main Results:

    • Novel mathematical model for vulnerable NSSs under specific attack types.
    • Established almost surely synchronization criteria using the Borel-Cantelli lemma.
    • Achieved almost surely synchronization of NSSs based on derived conditions.

    Conclusions:

    • The proposed method effectively achieves almost surely synchronization for neural network systems under random deception attacks.
    • The derived criteria provide a robust framework for analyzing and ensuring synchronization in vulnerable communication networks.
    • Numerical examples validate the effectiveness of the developed synchronization strategy.