Applications of Mathematics, Vol. 66, No. 3, pp. 397-411, 2021
Consensus of a two-agent system with nonlinear dynamics and time-varying delay
Ye Cheng, Bao Shi, Liangliang Ding
Received December 5, 2019. Published online March 26, 2021.
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.
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Affiliations: Ye Cheng (corresponding author), Bao Shi, School of Basic Sciences for Aviation, Naval Aviation University, Yantai 264001, P. R. China, e-mail: chengye2014@163.com, baoshinau@outlook.com; Liangliang Ding, College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, P. R. China, e-mail: dingliangliang14@nudt.edu.cn
