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Inverse optimal pinning synchronization control for higher-order networks on multi-directed hypergraphs

Author

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  • Liu, Dan
  • Zhang, Bin
  • Wang, Binrui

Abstract

This paper investigates the problem of inverse optimal pinning synchronization control for higher-order networks on multi-directed hypergraphs. Compared with existing works that focus only on the synchronization control for higher-order networks while ignoring the optimal performance of systems, a novel inverse optimal pinning control law is designed to realize the synchronization of multi-directed higher-order networks while simultaneously minimizing the associated cost functional, without solving the Hamilton–Jacobi–Bellman or Hamilton–Jacobi–Isaacs equation. Based on hypergraph theory, several sufficient conditions are proposed to guarantee the input-to-state stability of higher-order synchronization error system from the perspective of coupling strength. Finally, we use Chua’s circuit and Lorenz system as the model for each network node, respectively, to verify the effectiveness of the attained results through numerical simulation.

Suggested Citation

  • Liu, Dan & Zhang, Bin & Wang, Binrui, 2025. "Inverse optimal pinning synchronization control for higher-order networks on multi-directed hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p1:s096007792500606x
    DOI: 10.1016/j.chaos.2025.116593
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    References listed on IDEAS

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    1. Krishnagopal, Sanjukta & Bianconi, Ginestra, 2023. "Topology and dynamics of higher-order multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    2. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    3. Shi, Tian & Qin, Yi & Yang, Qi & Ma, Zhongjun & Li, Kezan, 2023. "Synchronization of directed uniform hypergraphs via adaptive pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    4. L. V. Gambuzza & F. Patti & L. Gallo & S. Lepri & M. Romance & R. Criado & M. Frasca & V. Latora & S. Boccaletti, 2021. "Stability of synchronization in simplicial complexes," Nature Communications, Nature, vol. 12(1), pages 1-13, December.
    5. Li, Kezan & Lin, Yingmei & Wang, Junyi, 2024. "Synchronization of multi-directed hypergraphs via adaptive pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    6. Shir Shahal & Ateret Wurzberg & Inbar Sibony & Hamootal Duadi & Elad Shniderman & Daniel Weymouth & Nir Davidson & Moti Fridman, 2020. "Synchronization of complex human networks," Nature Communications, Nature, vol. 11(1), pages 1-10, December.
    7. Iacopo Iacopini & Márton Karsai & Alain Barrat, 2024. "The temporal dynamics of group interactions in higher-order social networks," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    8. Wang, Yi & Zhao, Yi, 2024. "Synchronization of directed higher-order networks via pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    9. Wang, Shuzhan & Zhang, Ziye & Lin, Chong & Chen, Jian, 2021. "Fixed-time synchronization for complex-valued BAM neural networks with time-varying delays via pinning control and adaptive pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    10. Ze Xiao & Yue Deng, 2020. "Graph embedding-based novel protein interaction prediction via higher-order graph convolutional network," PLOS ONE, Public Library of Science, vol. 15(9), pages 1-18, September.
    11. Yuanzhao Zhang & Maxime Lucas & Federico Battiston, 2023. "Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    12. Wu, Kai & Tang, Ming & Liu, Zonghua & Ren, Han & Zhao, Liang, 2024. "Pinning synchronization of multiple fractional-order fuzzy complex-valued delayed spatiotemporal neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    13. Zhao, Dandan & Li, Runchao & Peng, Hao & Zhong, Ming & Wang, Wei, 2022. "Higher-order percolation in simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
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