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：

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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。