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Volume 4, Issue 4
Flocking of Multi-Particle Swarm with Group Coupling Structure and Measurement Delay

Maoli Chen & Yicheng Liu

DOI: 10.12150/jnma.2022.736

J. Nonl. Mod. Anal., 4 (2022), pp. 736-752.

Published online: 2023-08

[An open-access article; the PDF is free to any online user.]

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  • Abstract

We investigate the flocking conditions of a group coupling system with time delays, in which the communication between particles includes inter-group and intra-group interactions, and the time delay comes from the theory of moving object observation. As an effective model, we introduce a system of nonlinear functional differential equations to describe its dynamic evolution mechanism. By constructing two differential inequalities on velocity and velocity fluctuation from a continuity argument, and using the Lyapunov functional approach, we present some sufficient conditions for the existence of asymptotic flocking solutions to the coupling system, in which an upper bound of the delay allowed by the system is quantitatively given to ensure the emergence of flocking behavior. All results are novel and can be illustrated by using some specific numerical simulations.

  • Keywords

Time-asymptotic flocking, Group coupling, Intra-group and inter-group interaction, Measurement delay.

  • AMS Subject Headings

34K20, 37N20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-4-736, author = {Chen , Maoli and Liu , Yicheng}, title = {Flocking of Multi-Particle Swarm with Group Coupling Structure and Measurement Delay}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {4}, number = {4}, pages = {736--752}, abstract = {

We investigate the flocking conditions of a group coupling system with time delays, in which the communication between particles includes inter-group and intra-group interactions, and the time delay comes from the theory of moving object observation. As an effective model, we introduce a system of nonlinear functional differential equations to describe its dynamic evolution mechanism. By constructing two differential inequalities on velocity and velocity fluctuation from a continuity argument, and using the Lyapunov functional approach, we present some sufficient conditions for the existence of asymptotic flocking solutions to the coupling system, in which an upper bound of the delay allowed by the system is quantitatively given to ensure the emergence of flocking behavior. All results are novel and can be illustrated by using some specific numerical simulations.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2022.736}, url = {http://global-sci.org/intro/article_detail/jnma/21909.html} }
TY - JOUR T1 - Flocking of Multi-Particle Swarm with Group Coupling Structure and Measurement Delay AU - Chen , Maoli AU - Liu , Yicheng JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 736 EP - 752 PY - 2023 DA - 2023/08 SN - 4 DO - http://doi.org/10.12150/jnma.2022.736 UR - https://global-sci.org/intro/article_detail/jnma/21909.html KW - Time-asymptotic flocking, Group coupling, Intra-group and inter-group interaction, Measurement delay. AB -

We investigate the flocking conditions of a group coupling system with time delays, in which the communication between particles includes inter-group and intra-group interactions, and the time delay comes from the theory of moving object observation. As an effective model, we introduce a system of nonlinear functional differential equations to describe its dynamic evolution mechanism. By constructing two differential inequalities on velocity and velocity fluctuation from a continuity argument, and using the Lyapunov functional approach, we present some sufficient conditions for the existence of asymptotic flocking solutions to the coupling system, in which an upper bound of the delay allowed by the system is quantitatively given to ensure the emergence of flocking behavior. All results are novel and can be illustrated by using some specific numerical simulations.

Maoli Chen & Yicheng Liu. (2023). Flocking of Multi-Particle Swarm with Group Coupling Structure and Measurement Delay. Journal of Nonlinear Modeling and Analysis. 4 (4). 736-752. doi:10.12150/jnma.2022.736
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