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Time cost estimation for flocking of Cucker–Smale type models with switching protocol

Author

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  • Zhu, Jian
  • Xi, Jingke
  • Li, Shihan
  • Shi, Hongjun
  • Sun, Yongzheng

Abstract

Time cost is an important indicator for evaluating the control protocol of the designed network system. The issue of flocking in Cucker–Smale type models is investigated in this article. Two new switching protocols are articulated to achieve finite-time (FT) and fixed-time (FDT) flocking. Sufficient conditions and the upper bounds of time cost (TC) for flocking are obtained. The influence of parameters and group size on TC is revealed. Especially, the new control strategy proposed successfully reduces the convergence time compared to the general FT and FDT control protocols.

Suggested Citation

  • Zhu, Jian & Xi, Jingke & Li, Shihan & Shi, Hongjun & Sun, Yongzheng, 2024. "Time cost estimation for flocking of Cucker–Smale type models with switching protocol," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 636(C).
    • Handle: RePEc:eee:phsmap:v:636:y:2024:i:c:s0378437124000700
    DOI: 10.1016/j.physa.2024.129562
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    References listed on IDEAS

    as
    1. Zhao, Rundong & Liu, Qiming & Zhang, Huazong, 2022. "Flocking and collision avoidance problem of a singular Cucker–Smale model with external perturbations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
    2. Zhang, Shuai & Lei, Xiaokang & Zheng, Zhicheng & Peng, Xingguang, 2022. "Collective fission behavior in swarming systems with density-based interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    3. Sandler, U., 2017. "S-Lagrangian dynamics of many-body systems and behavior of social groups: Dominance and hierarchy formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 218-241.
    4. Qizhen Xiao & Hongliang Liu & Zhenghua Xu & Zigen Ouyang, 2020. "On Collision Avoiding Fixed-Time Flocking with Measurable Diameter to a Cucker–Smale-Type Self-Propelled Particle Model," Complexity, Hindawi, vol. 2020, pages 1-12, May.
    5. Zhou, Wenjia & Hu, Yuanfa & Liu, Xiaoyang & Cao, Jinde, 2022. "Finite-time adaptive synchronization of coupled uncertain neural networks via intermittent control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
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