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Cost-Aware Robust Control of Signed Networks by Using a Memetic Algorithm.

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    IEEE Transactions on Cybernetics
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    This study introduces cost-aware robust control (CRC) for signed networks, aiming to minimize costs while ensuring system stability. A novel memetic algorithm effectively solves the CRC problem, outperforming existing methods on real-world networks.

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    Area of Science:

    • Complex Systems Science
    • Network Theory
    • Computational Science

    Background:

    • Robust controllability (RC) is crucial for understanding complex systems and ensuring their stability against disturbances.
    • Signed networks, representing systems with positive and negative interactions, present unique challenges for control.
    • Existing RC methods may not adequately address the cost implications or the balance of interactions within signed networks.

    Purpose of the Study:

    • To introduce and define the cost-aware robust control (CRC) problem in the context of signed networks.
    • To develop an efficient algorithm for solving the CRC problem, minimizing control costs and balancing network links.
    • To evaluate the performance of the proposed CRC algorithm against state-of-the-art RC methods.

    Main Methods:

    • Modeling the CRC problem as a constrained combinatorial optimization problem.
    • Developing a memetic algorithm incorporating problem-specific knowledge (node neighbors, CRC constraints, efficient cost computation).
    • Conducting extensive experiments on real-world social and biological signed networks.

    Main Results:

    • The proposed memetic algorithm effectively solves the CRC problem by minimizing control costs and achieving network balance.
    • The algorithm demonstrates superior performance compared to several existing robust controllability algorithms.
    • Experimental validation on diverse real-world networks confirms the algorithm's efficacy.

    Conclusions:

    • The cost-aware robust control (CRC) framework provides a novel approach to managing complex signed systems.
    • The developed memetic algorithm offers an efficient and effective solution for CRC problems.
    • This research contributes to a deeper understanding of robust control in signed networks with practical implications for social and biological systems.