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Finite-time flocking and collision avoidance for second-order multi-agent systems

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成果类型:
期刊论文
作者:
Liu, Hongliang;Wang, Xiao*;Li, Xiang;Liu, Yicheng
通讯作者:
Wang, Xiao
作者机构:
[Liu, Yicheng; Liu, Hongliang; Li, Xiang; Wang, Xiao] Natl Univ Def Technol, Dept Math, Changsha 410073, Hunan, Peoples R China.
[Liu, Hongliang] Univ South China, Sch Math & Phys, Hengyang, Peoples R China.
通讯机构:
[Wang, Xiao] N
Natl Univ Def Technol, Dept Math, Changsha 410073, Hunan, Peoples R China.
语种:
英文
关键词:
Collision avoidance;Lyapunov functions;collision avoiding;Communication functions;Existence and uniqueness theorem;Finite time;Finite time stability;Global smooth solutions;Minimal distance;Suitable conditions;Multi agent systems
期刊:
International Journal of Systems Science
ISSN:
0020-7721
年:
2020
卷:
51
期:
1
页码:
102-115
基金类别:
This work is partially supported by the National Natural Science Foundation of China [Grant Nos. 11401577 and 11671011] and China Postdoctoral Science Foundation [Grant No. 2018M633700]. The authors would like to thank the referee so much for the valuable suggestions and comments.
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
This paper focuses on the problem of the finite-time flocking with uniform minimal distance for second-order multi-agent systems. The solutions of these issues can be viewed as the reasonable explanations of the bird flocks or fish schools. A new discontinuous protocol, which combines a singular communication function with a weighted sum of sign functions of the relative velocities among agents, is proposed to guarantee that the agents can attract and repel with each other. Since the communication weight is singular, the existence and uniquenes...

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