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Stability and Consensus of Electrical Circuits via Structural Properties

机译：通过结构特性对电路的稳定性和共识

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摘要

In this paper stability and consensus on electrical circuits is approached. The novelty of the presented results lies in the fact that, contrary to the usual practice of establishing these properties for a given circuit, generic features of this class of networks are interpreted in terms of interconnections of the circuit elements to conceive specific topologies for which both stability and consensus are guaranteed. Fundamental for this achievement is the Hamiltonian structure exhibited by the circuits, since the features enjoyed by this kind of dynamical systems allow to systematically state the structural (interconnection) properties under which stability is assured while conditions to conclude consensus are derived from the analysis of itsequilibria.
机译：本文探讨了电路的稳定性和共识性。所呈现结果的新颖性在于，与为给定电路建立这些特性的通常做法相反，此类网络的一般特征是根据电路元件的互连来解释的，以构想出针对它们的特定拓扑稳定和共识得到保证。该成就的基础是电路所展示的哈密顿结构，因为这种动力学系统所具有的特征允许系统地陈述结构（互连）特性，在保证稳定性的同时，通过对均衡的分析得出结论以达成共识。 。

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