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

被引：0
|
作者：
Zhu, Jian [1 ,3 ]
Xi, Jingke [2 ]
Li, Shihan [1 ]
Shi, Hongjun [1 ]
Sun, Yongzheng [1 ]
机构：
[1] China Univ Min & Technol, Sch Math, JCAM, Xuzhou 221116, Jiangsu, Peoples R China
[2] China Univ Min & Technol, Sch Comp Sci & Technol, Xuzhou 221116, Jiangsu, Peoples R China
[3] Xinjiang Inst Engn, Dept Math & Phys, Urumqi 830023, Xinjiang, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2024年 / 636卷
基金：
中国国家自然科学基金;
关键词：
Cucker-Smale model; Flocking; Time cost (TC); Finite-time (FT); Switching protocol; CONSENSUS; DYNAMICS; BEHAVIOR; SYSTEMS; NOISE;
D O I：
10.1016/j.physa.2024.129562
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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收藏
页数：13
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