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Index Analysis of Branch-Oriented and Hybrid Models of Non-passive Circuits

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Progress in Industrial Mathematics at ECMI 2012

Part of the book series: Mathematics in Industry ((TECMI,volume 19))

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Abstract

We extend in this communication previous index analyses of branch-oriented and hybrid circuit models to a non-passive context. Specifically, in the absence of coupling effects, we present a complete characterization of index one and index two branch-oriented models, and index zero and index one hybrid models. The results are based on the structure of the forests of certain circuit minors.

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Acknowledgements

Research supported by Project MTM2010-15102 of Ministerio de Ciencia e Innovación, Spain.

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Authors and Affiliations

  1. Depto. Matemática Aplicada TTI, ETSI Telecomunicación, Universidad Politécnica de Madrid, Ciudad Universitaria s/n, 28040, Madrid, Spain

    Ignacio García de la Vega & Ricardo Riaza

Authors
  1. Ignacio García de la Vega
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  2. Ricardo Riaza
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Corresponding author

Correspondence to Ricardo Riaza .

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Editors and Affiliations

  1. Lunds Universitet, Centre for Mathematical Sciences, Lund, Sweden

    Magnus Fontes

  2. Bergische Universität Wuppertal, Applied Math. and Numerical Analysis, Wuppertal, Germany

    Michael Günther

  3. Lehrstuhl für Angew.Math. 1, Friedrich-Alexander-Universität Erlangen, Department of Mathematics, Erlangen, Germany

    Nicole Marheineke

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de la Vega, I.G., Riaza, R. (2014). Index Analysis of Branch-Oriented and Hybrid Models of Non-passive Circuits. In: Fontes, M., Günther, M., Marheineke, N. (eds) Progress in Industrial Mathematics at ECMI 2012. Mathematics in Industry(), vol 19. Springer, Cham. https://doi.org/10.1007/978-3-319-05365-3_2

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