Stability and Consensus of Electrical Circuits via Structural Properties

Authors

Sofía Avila-Becerril, Gerardo Espinosa-Pérez, Paul Fernández-Carrillo

Abstract

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 its equilibria.

Keywords

Electrical circuits; Hamiltonian systems; Consensus; Graph theory

Citation

• Journal: IFAC-PapersOnLine
• Year: 2015
• Volume: 48
• Issue: 13
• Pages: 111–116
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2015.10.223
• Note: 5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2015- Lyon, France, 4–7 July 2015

BibTeX

@article{Avila_Becerril_2015,
  title={{Stability and Consensus of Electrical Circuits via Structural Properties}},
  volume={48},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2015.10.223},
  number={13},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Avila-Becerril, Sofía and Espinosa-Pérez, Gerardo and Fernández-Carrillo, Paul},
  year={2015},
  pages={111--116}
}

Download the bib file

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