Flocking analysis for a generalized Motsch-Tadmor model with piecewise interaction functions and processing delays

Yipeng Chen; Yicheng Liu; Xiao Wang

Applications of Mathematics (2023)

  • Volume: 68, Issue: 1, page 51-73
  • ISSN: 0862-7940

Abstract

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In this paper, a generalized Motsch-Tadmor model with piecewise interaction functions and fixed processing delays is investigated. According to functional differential equation theory and correlation properties of the stochastic matrix, we obtained sufficient conditions for the system achieving flocking, including an upper bound of the time delay parameter. When the parameter is less than the upper bound, the system achieves asymptotic flocking under appropriate assumptions.

How to cite

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Chen, Yipeng, Liu, Yicheng, and Wang, Xiao. "Flocking analysis for a generalized Motsch-Tadmor model with piecewise interaction functions and processing delays." Applications of Mathematics 68.1 (2023): 51-73. <http://eudml.org/doc/299428>.

@article{Chen2023,
abstract = {In this paper, a generalized Motsch-Tadmor model with piecewise interaction functions and fixed processing delays is investigated. According to functional differential equation theory and correlation properties of the stochastic matrix, we obtained sufficient conditions for the system achieving flocking, including an upper bound of the time delay parameter. When the parameter is less than the upper bound, the system achieves asymptotic flocking under appropriate assumptions.},
author = {Chen, Yipeng, Liu, Yicheng, Wang, Xiao},
journal = {Applications of Mathematics},
keywords = {Motsch-Tadmor model; piecewise interaction function; processing delays; flocking},
language = {eng},
number = {1},
pages = {51-73},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Flocking analysis for a generalized Motsch-Tadmor model with piecewise interaction functions and processing delays},
url = {http://eudml.org/doc/299428},
volume = {68},
year = {2023},
}

TY - JOUR
AU - Chen, Yipeng
AU - Liu, Yicheng
AU - Wang, Xiao
TI - Flocking analysis for a generalized Motsch-Tadmor model with piecewise interaction functions and processing delays
JO - Applications of Mathematics
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 1
SP - 51
EP - 73
AB - In this paper, a generalized Motsch-Tadmor model with piecewise interaction functions and fixed processing delays is investigated. According to functional differential equation theory and correlation properties of the stochastic matrix, we obtained sufficient conditions for the system achieving flocking, including an upper bound of the time delay parameter. When the parameter is less than the upper bound, the system achieves asymptotic flocking under appropriate assumptions.
LA - eng
KW - Motsch-Tadmor model; piecewise interaction function; processing delays; flocking
UR - http://eudml.org/doc/299428
ER -

References

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