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Dependence of Delay Margin on Network Topology: Single Delay Case

机译:延迟裕量对网络拓扑的依赖性:单个延迟情况

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This article studies the indirect relationship between the delay margin τ* of coupled systems and different graphs g these systems form via their different topologies. A four-agent linear time invariant (LTI) consensus dynamics is taken as a benchmark problem with a single delay t and second-order agent dynamics. In this problem, six different topologies exist without disconnecting an agent from all others. We first start with CTCR to reveal the delay margin τ*. We next investigate how τ* is affected as one graph transitions to another when some links between the agents weaken and vanish. This line of research is recently growing and new results along these lines promise delay-tolerant topology design for coupled dynamical systems with delays.
机译:本文研究了耦合系统的延迟裕度τ*与这些系统通过其不同拓扑形成的不同图形之间的间接关系。将四主体线性时不变(LTI)共识动力学作为具有单个延迟t和二阶主体动力学的基准问题。在此问题中,存在六个不同的拓扑,而没有将代理与所有其他拓扑断开连接。我们首先从CTCR开始,以揭示延迟余量τ*。接下来,我们研究当代理商之间的某些联系减弱和消失时,当一张图过渡到另一张图时,τ*的影响。该研究领域最近正在增长,并且沿着这些领域的新结果有望为具有延迟的耦合动态系统提供耐延迟的拓扑设计。

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