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Event-Triggered Impulsive Control for Nonlinear Stochastic Systems.

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    This summary is machine-generated.

    This study introduces event-triggered impulsive control (ETIC) for nonlinear stochastic systems. The proposed methods ensure system stability by optimizing control signal transmission, reducing communication load.

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    Area of Science:

    • Control Theory
    • Stochastic Systems
    • Nonlinear Dynamics

    Background:

    • Stabilization of nonlinear stochastic systems is crucial.
    • Event-triggered impulsive control (ETIC) offers potential for reduced communication.
    • Existing ETIC schemes may suffer from Zeno behavior or require continuous monitoring.

    Purpose of the Study:

    • To develop and analyze novel event-triggered impulsive control (ETIC) schemes for nonlinear stochastic systems.
    • To ensure system stability (p th moment uniform and exponential stability) using ETIC.
    • To establish conditions for exponential stability in the mean square for linear stochastic systems under ETIC.

    Main Methods:

    • Development of continuous and periodic event-triggered mechanisms (ETM).
    • Introduction of time regularization to prevent Zeno behavior in continuous ETM.
    • Derivation of sufficient conditions for stability using Lyapunov functions and stochastic analysis.
    • Application of Linear Matrix Inequalities (LMIs) for stability analysis in linear systems.

    Main Results:

    • Sufficient conditions for p th moment uniform and exponential stability are derived for nonlinear stochastic systems under ETIC.
    • Conditions for exponential stability in the mean square are established for linear stochastic systems using LMIs.
    • Demonstration of the effectiveness of the proposed ETIC schemes through two illustrative examples, including consensus in multiagent systems.

    Conclusions:

    • The proposed ETIC schemes effectively stabilize nonlinear stochastic systems.
    • The developed methods provide a robust framework for stability analysis and control design.
    • ETIC is a viable strategy for enhancing control efficiency in stochastic systems while ensuring stability.