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    This study presents an event-triggered adaptive containment control for stochastic nonlinear multiagent systems. It ensures follower convergence to leader convex hulls while minimizing communication using neural networks and observers.

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    Area of Science:

    • Control Theory
    • Nonlinear Systems
    • Stochastic Systems

    Background:

    • Multiagent systems (MAS) are crucial for distributed tasks.
    • Stochastic nonlinear systems with unmeasurable states present control challenges.
    • Event-triggered control aims to reduce communication load in MAS.

    Purpose of the Study:

    • To develop an event-triggered adaptive containment control strategy.
    • To address stochastic nonlinear multiagent systems with unmeasurable states.
    • To reduce communication costs while maintaining system performance.

    Main Methods:

    • Approximation of uncertain nonlinear dynamics using radial basis function neural networks (NNs).
    • Design of NN-based observers for estimating unmeasured states.
    • Implementation of a switching-threshold-based event-triggered control mechanism.
    • Application of adaptive backstepping and dynamic surface control (DSC) for controller design.

    Main Results:

    • The proposed controller ensures follower outputs converge to the convex hull of leaders.
    • All signals in the closed-loop system are cooperatively semi-globally uniformly ultimately bounded in mean square.
    • The event-triggered approach effectively reduces communication consumption.

    Conclusions:

    • The developed event-triggered adaptive containment control is effective for stochastic nonlinear multiagent systems.
    • The combination of NNs, observers, and adaptive control strategies achieves desired containment performance.
    • The proposed method offers a practical solution for resource-constrained networked systems.