Consensus of a two-agent system with nonlinear dynamics and time-varying delay

Ye Cheng; Bao Shi; Liangliang Ding

Applications of Mathematics (2021)

  • Volume: 66, Issue: 3, page 397-411
  • ISSN: 0862-7940

Abstract

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To explore the impacts of time delay on nonlinear dynamics of consensus models, we incorporate time-varying delay into a two-agent system to study its long-time behaviors. By the classical 3/2 stability theory, we establish a sufficient condition for the system to experience unconditional consensus. Numerical examples show the effectiveness of the proposed protocols and present possible Hopf bifurcations when the time delay changes.

How to cite

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Cheng, Ye, Shi, Bao, and Ding, Liangliang. "Consensus of a two-agent system with nonlinear dynamics and time-varying delay." Applications of Mathematics 66.3 (2021): 397-411. <http://eudml.org/doc/297882>.

@article{Cheng2021,
abstract = {To explore the impacts of time delay on nonlinear dynamics of consensus models, we incorporate time-varying delay into a two-agent system to study its long-time behaviors. By the classical 3/2 stability theory, we establish a sufficient condition for the system to experience unconditional consensus. Numerical examples show the effectiveness of the proposed protocols and present possible Hopf bifurcations when the time delay changes.},
author = {Cheng, Ye, Shi, Bao, Ding, Liangliang},
journal = {Applications of Mathematics},
keywords = {consensus; multi-agent system; nonlinear dynamics; time-varying delay; Hopf bifurcation},
language = {eng},
number = {3},
pages = {397-411},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Consensus of a two-agent system with nonlinear dynamics and time-varying delay},
url = {http://eudml.org/doc/297882},
volume = {66},
year = {2021},
}

TY - JOUR
AU - Cheng, Ye
AU - Shi, Bao
AU - Ding, Liangliang
TI - Consensus of a two-agent system with nonlinear dynamics and time-varying delay
JO - Applications of Mathematics
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 66
IS - 3
SP - 397
EP - 411
AB - To explore the impacts of time delay on nonlinear dynamics of consensus models, we incorporate time-varying delay into a two-agent system to study its long-time behaviors. By the classical 3/2 stability theory, we establish a sufficient condition for the system to experience unconditional consensus. Numerical examples show the effectiveness of the proposed protocols and present possible Hopf bifurcations when the time delay changes.
LA - eng
KW - consensus; multi-agent system; nonlinear dynamics; time-varying delay; Hopf bifurcation
UR - http://eudml.org/doc/297882
ER -

References

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