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Fuzzy Approximation-Based Global Pinning Synchronization Control of Uncertain Complex Dynamical Networks.

Xiao-Jian Li, Guang-Hong Yang

    IEEE Transactions on Cybernetics
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    This study addresses global pinning synchronization in uncertain complex networks with communication limits. A novel control scheme ensures synchronization, improving on existing methods by reducing controllers and validating results with simulations.

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    Area of Science:

    • Complex dynamical networks
    • Control theory
    • Network synchronization

    Background:

    • Complex dynamical networks are crucial in various fields.
    • Achieving global pinning synchronization under communication constraints is challenging.
    • Uncertainty in network dynamics complicates synchronization.

    Purpose of the Study:

    • To develop a new pinning control scheme for global synchronization of uncertain complex dynamical networks.
    • To address communication constraints within these networks.
    • To improve existing synchronization methods by reducing the number of controllers.

    Main Methods:

    • Design of an adaptive fuzzy controller for states within a compact set.
    • Introduction of a robust controller for states outside the compact set.
    • Application of Lyapunov and graph theories to prove synchronization error convergence.

    Main Results:

    • The proposed pinning control scheme ensures global synchronization.
    • Synchronization errors are proven to be asymptotically convergent.
    • The scheme simplifies to two efficient pinning control strategies in uncertainty-free cases, reducing controller count.

    Conclusions:

    • The novel pinning control scheme effectively achieves global synchronization in uncertain complex networks.
    • The method offers improved efficiency by potentially reducing feedback controllers.
    • Simulation examples confirm the theoretical findings and practical applicability.