Geodesic
Consensus of a two-agent system with nonlinear dynamics and time-varying delay
Applications of Mathematics, Tome 66 (2021) no. 3, pp. 397-411

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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.
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.
DOI : 10.21136/AM.2021.0341-19
Classification : 34A34, 34D05, 34K25
Keywords: consensus; multi-agent system; nonlinear dynamics; time-varying delay; Hopf bifurcation 
Cheng, Ye; Shi, Bao; Ding, Liangliang. Consensus of a two-agent system with nonlinear dynamics and time-varying delay. Applications of Mathematics, Tome 66 (2021) no. 3, pp. 397-411. doi: 10.21136/AM.2021.0341-19
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     title = {Consensus of a two-agent system with nonlinear dynamics and time-varying delay},
     journal = {Applications of Mathematics},
     pages = {397--411},
     year = {2021},
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     number = {3},
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     mrnumber = {4263158},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0341-19/}
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