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Multidimensional Linear Discrete System Stability Analysis Using Single Square Matrix

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Advances in Power Systems and Energy Management

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 436))

Abstract

This paper reviews to search out the stability of multidimensional linear time invariant discrete system; the system, which is portrayed within the forms of the individual characteristic equation. Besides an equivalent one-dimensional equation is created from the multidimensional characteristic equation, a replacement method has planned for construction single square matrix using the coefficient of equivalent one-dimensional characteristic equation and determinants were evaluated using Jury’s idea. The proposed procedure for construction of single square matrix is compared to Jury’s matrix formation that is incredibly simple and direct and consumes less arithmetic operations. This approach is delineated utilizing numerous numerical illustrations.

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Authors and Affiliations

  1. Department of EEE, University College of Engineering, Anna University, Ramanathapuram, Tamil Nadu, India

    P. Ramesh

  2. Department of EEE, Sriram Engineering College, Chennai, Tamil Nadu, India

    K. Vasudevan

Authors
  1. P. Ramesh
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  2. K. Vasudevan
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Corresponding author

Correspondence to P. Ramesh .

Editor information

Editors and Affiliations

  1. Sikkim Manipal Institute of Technology (SMIT), Rangpo, Sikkim, India

    Amik Garg

  2. Department of Electrical and Electronics Engineering, Sikkim Manipal Institute of Technology (SMIT), Rangpo, Sikkim, India

    Akash Kumar Bhoi

  3. Department of Electrical and Electronics Engineering Science, University of Johannesburg, Johannesburg, South Africa

    Padmanaban Sanjeevikumar

  4. Government of Karnataka, Chitradurga, Karnataka, India

    K. K. Kamani

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Ramesh, P., Vasudevan, K. (2018). Multidimensional Linear Discrete System Stability Analysis Using Single Square Matrix. In: Garg, A., Bhoi, A., Sanjeevikumar, P., Kamani, K. (eds) Advances in Power Systems and Energy Management. Lecture Notes in Electrical Engineering, vol 436. Springer, Singapore. https://doi.org/10.1007/978-981-10-4394-9_49

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  • DOI: https://doi.org/10.1007/978-981-10-4394-9_49

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-4393-2

  • Online ISBN: 978-981-10-4394-9

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