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Consensus of a Two-Agent System with Nonlinear Dynamics and Time-Varying Delay
Applications of Mathematics ( IF 0.6 ) Pub Date : 2021-03-26 , DOI: 10.21136/am.2021.0341-19
Ye Cheng , Bao Shi , Liangliang Ding

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.



中文翻译:

具有非线性动力学和时变时滞的双智能系统的共识

为了探究时间延迟对共识模型非线性动力学的影响,我们将时变延迟合并到两主体系统中以研究其长时间行为。通过经典的3/2稳定性理论,我们为系统经历无条件的共识建立了充分的条件。数值示例表明了所提出协议的有效性,并在时延改变时提出了可能的Hopf分支。

更新日期:2021-04-06
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