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Investigating the effect of edge modifications on networked control systems: Stability analysis
Automatica ( IF 6.4 ) Pub Date : 2022-12-30 , DOI: 10.1016/j.automatica.2022.110801
Gustav Lindmark, Claudio Altafini

This paper investigates the impact of addition/removal/reweighting of edges in a complex networked linear control system. For networks of positive edge weights, we show that when adding edges leads to the creation of new cycles, these in turn may lead to instabilities. Dynamically, these cycles correspond to positive feedback loops. Conditions are provided under which the modified network is guaranteed to be stable. These conditions are related to the steady state value of the transfer function matrix of the newly created positive feedbacks. The tools we develop in the paper can be used to investigate the fragility of a network, i.e., its robustness to structured perturbations.



中文翻译:

研究边缘修改对网络控制系统的影响:稳定性分析

本文研究了复杂网络线性控制系统中边的添加/删除/重新加权的影响。对于正边权重的网络,我们表明当添加边导致创建新循环时,这些反过来可能导致不稳定性。动态地,这些循环对应于正反馈循环。提供了保证修改后的网络稳定的条件。这些条件与新创建的正反馈的传递函数矩阵的稳态值有关。我们在本文中开发的工具可用于研究网络的脆弱性,即它对结构化扰动的鲁棒性。

更新日期:2022-12-30
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