| Autor: |
Qin Xu, Xiao Wang, Yicheng Liu |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
Mathematical Modelling and Control, Vol 2, Iss 4, Pp 200-218 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2767-8946 |
| DOI: |
10.3934/mmc.2022020?viewType=HTML |
| Popis: |
This paper studies the continuous Cucker–Smale model with time-varying topological structures and reaction-type delay. The goal of this paper is to establish a sufficient framework for flocking behaviors. Our method combines strict Lyapunov design with the derivation of an appropriate persistence condition for multi-agent systems. First, to prove that position fluctuations are uniformly bounded, a strict and trajectory-dependent Lyapunov functional is constructed via reparametrization of the time variable. Then, by constructing a global Lyapunov functional and using a novel backward-forward estimate, it is deduced that velocity fluctuations converge to zero. Finally, flocking behaviors are analyzed separately in terms of time delays and communication failures. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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