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On Collision Avoiding Fixed-Time Flocking with Measurable Diameter to a Cucker-Smale-Type Self-Propelled Particle Model

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成果类型:
期刊论文
作者:
Xiao, Qizhen;Liu, Hongliang*;Xu, Zhenghua*;Ouyang, Zigen
通讯作者:
Liu, Hongliang;Xu, Zhenghua
作者机构:
[Xiao, Qizhen; Liu, HL; Xu, Zhenghua; Liu, Hongliang; Ouyang, Zigen] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构:
[Liu, HL; Xu, ZH] U
Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
语种:
英文
期刊:
Complexity
ISSN:
1076-2787
年:
2020
卷:
2020
页码:
1094950:1-1094950:12
基金类别:
Hunan Natural Science Fund Youth Fund Project [2018JJ3419]; Hunan Province Engineering Technology Research Center of Uranium Tailings Treatment Technology [2018YKZX1008]
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
摘要:
Dealing with the fixed-time flocking issue is one of the most challenging problems for a Cucker-Smale-type self-propelled particle model. In this article, the fixed-time flocking is established by employing a fixed-time stability theorem when the communication weight function has a positive infimum. Compared with the initial condition-based finite-time stability, an upper bound of the settling time in this paper is merely dependent on the design parameters. Moreover, the size of the final flocking can be estimated by the number of particles and...

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