Stability of Two-Dimensional Systems Using Single Square Matrix

  • P. RameshEmail author
  • K. VasudevanEmail author
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 436)


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.


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


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© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of EEEUniversity College of Engineering, Anna UniversityRamanthapuramIndia
  2. 2.Department of EEESriram Engineering CollegeChennaiIndia

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