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Advances in Power Systems and Energy Management pp 487–497Cite as

Stability of Two-Dimensional Systems Using Single Square Matrix

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

Abstract

This article presents a new and easy unified way to investigate the stability of 2-D linear systems. The 2-D characteristics equation is regenerate into a similar one-dimensional characteristic polynomial. Using the coefficient of the equal one-dimensional characteristic polynomial, a new technique had proposed to create a single square matrix to check the sufficient conditions for stability analysis. To determine the stability square matrix should have the positive inner wise for all determinants starting from the middle elements and continuing outward up to the integrated matrix are positive. The illustrative examples prove the simplicity and application of the suggested method.

Keywords

  • Necessary condition
  • Sufficient condition
  • Inner determinants
  • Linear discrete systems
  • Square matrix
  • Two-dimensional (2-D)

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Author information

Authors and Affiliations

  1. Department of EEE, University College of Engineering, Anna University, Ramanthapuram, 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 authors

Correspondence to P. Ramesh or K. Vasudevan .

Editor information

Editors and Affiliations

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

    Prof. Dr. Amik Garg

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

    Prof. Akash Kumar Bhoi

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

    Prof. Dr. Padmanaban Sanjeevikumar

  4. Government of Karnataka, Chitradurga, Karnataka, India

    Prof. K. K. Kamani

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Ramesh, P., Vasudevan, K. (2018). Stability of Two-Dimensional Systems 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_48

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  • DOI: https://doi.org/10.1007/978-981-10-4394-9_48

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