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Stability of Linear Circuits with Interval Data: A Case Study

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Selected Topics in Nonlinear Dynamics and Theoretical Electrical Engineering

Part of the book series: Studies in Computational Intelligence ((SCI,volume 459))

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Abstract

In this chapter we study the problem of checking stability of a linear lumped electric circuits with interval data that model uncertainties of their element parameters (passive element values R, L, C and controlled source coefficients k). For such circuits the problem is concerned with examination of the eigenvalues of interval matrix. Presented approach is based on checking stability of symmetric interval matrix associated with the state matrix and is based on some interval analysis results. The method is not complex and in some cases we can determine circuit stability. We illustrate the applicability of studied approach by means of two numerical examples.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Silesian Technical University, ul. Akademicka 10, 44-100, Gliwice, Poland

    Zygmunt A. Garczarczyk

Authors
  1. Zygmunt A. Garczarczyk
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Correspondence to Zygmunt A. Garczarczyk .

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Editors and Affiliations

  1. Inst. Intelligente Systemtechnologien, Universität Klagenfurt, Universitätsstr. 65-67, Klagenfurt, 9020, Austria

    Kyandoghere Kyamakya

  2. , Lehrgebiet Informationstechnik, FernUniversität in Hagen, Universitätsstraße 27, Hagen, 58097, Germany

    Wolfgang A. Halang

  3. FB Elektrotechnik, Inst. Theoretische Elektrotechnik, Universität Hannover, Appelstr. 9 A, Hannover, 30167, Germany

    Wolfgang Mathis

  4. , Lakeside Park, Alpen-Adria Universität Klagenfurt, Haus B04, Klagenfurt, 9020, Austria

    Jean Camberlain Chedjou

  5. Fernuniversität Hagen, Hagen, 58084, Germany

    Zhong Li

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Garczarczyk, Z.A. (2013). Stability of Linear Circuits with Interval Data: A Case Study. In: Kyamakya, K., Halang, W., Mathis, W., Chedjou, J., Li, Z. (eds) Selected Topics in Nonlinear Dynamics and Theoretical Electrical Engineering. Studies in Computational Intelligence, vol 459. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34560-9_19

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  • DOI: https://doi.org/10.1007/978-3-642-34560-9_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34559-3

  • Online ISBN: 978-3-642-34560-9

  • eBook Packages: EngineeringEngineering (R0)

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