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

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

Physica A: Statistical Mechanics and its Applications, 2024, vol. 636, issue C

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.

Keywords: Cucker–Smale model; Flocking; Time cost (TC); Finite-time (FT); Switching protocol (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437124000700
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:636:y:2024:i:c:s0378437124000700

DOI: 10.1016/j.physa.2024.129562

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().