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.
DOI : 10.21136/AM.2021.0341-19
Classification : 34A34, 34D05, 34K25
Keywords: consensus; multi-agent system; nonlinear dynamics; time-varying delay; Hopf bifurcation 
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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. http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0341-19/

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