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    This study introduces a new distributed protocol for multiagent systems to optimize performance while preserving network connectivity. It ensures reliable communication and state agreement, even with limited sensing or communication ranges and unexpected disturbances.

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    Area of Science:

    • Control Systems Engineering
    • Distributed Computing
    • Network Science

    Background:

    • Cooperative interactions in multiagent systems require preserved network connectivity for effective information exchange.
    • Limited sensing and communication ranges pose challenges to maintaining network connectivity by default.
    • Unexpected obstacles and noise can disrupt system performance and communication links.

    Purpose of the Study:

    • To develop a distributed optimization protocol for multiagent systems that guarantees network connectivity preservation.
    • To achieve state agreement in finite time while optimizing the sum of local functions.
    • To address scenarios with unavailable initial states and ensure consensus within a prescribed finite time.

    Main Methods:

    • Design of generalized potentials incorporating discontinuities to handle obstacles and noise.
    • Development of a novel distributed protocol based on these potentials.
    • Application of nonsmooth analysis tools to analyze the discontinuous protocol's performance.
    • Further development of a protocol for scenarios lacking initial state information.

    Main Results:

    • Formal guarantee of network connectivity preservation over time.
    • Realization of state agreement in finite time for distributed optimization.
    • Successful optimization of the sum of local functions under connectivity constraints.
    • Demonstrated effectiveness of the proposed protocols through illustrative examples, including scenarios with unknown initial states.

    Conclusions:

    • The proposed distributed protocols effectively achieve multiagent system optimization while ensuring network connectivity.
    • The methods provide robust solutions for state agreement and consensus, even in the presence of communication limitations and uncertainties.
    • The work offers practical solutions for real-world distributed systems requiring reliable and connected operation.