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Related Concept Videos

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    Area of Science:

    • Control Theory
    • Neural Networks
    • Network Security

    Background:

    • Fuzzy memristive neural networks (FMNNs) are crucial for complex computations.
    • Ensuring stability in FMNNs under stochastic disturbances and random deception attacks (RDAs) is a significant challenge.
    • Existing methods for predefined-time stabilization have limitations.

    Purpose of the Study:

    • To introduce and investigate the concept of practically predefined-time stabilization in probability (PPDTSP) for FMNNs.
    • To develop a novel Lyapunov-type criterion for PPDTSP.
    • To design a simplified control scheme for achieving PPDTSP under disturbances and RDAs.

    Main Methods:

    • Introduction of a novel Lyapunov-type criterion for PPDTSP.
    • Development of a simplified, practically predefined-time control scheme.
    • Mathematical analysis and theoretical derivations for stability guarantees.
    • Numerical simulations for validation.

    Main Results:

    • A novel Lyapunov-type criterion for PPDTSP is proposed, which is more general than existing criteria.
    • A simplified control scheme is designed to achieve PPDTSP for FMNNs under stochastic disturbances and RDAs.
    • The proposed method ensures stabilization within a practically predefined time.
    • Special cases of predefined-time stabilization in probability (PDTSP) are derived.

    Conclusions:

    • The proposed PPDTSP concept and criterion effectively address the stabilization of FMNNs under challenging conditions.
    • The developed control scheme provides a practical solution for enhancing the resilience of FMNNs.
    • Numerical simulations confirm the validity and effectiveness of the theoretical findings.