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2018 | OriginalPaper | Chapter

Stability of Two-Dimensional Systems Using Single Square Matrix

Authors : P. Ramesh, K. Vasudevan

Published in: Advances in Power Systems and Energy Management

Publisher: Springer Singapore

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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.

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Title: Stability of Two-Dimensional Systems Using Single Square Matrix
Authors: P. Ramesh
K. Vasudevan
Publisher: Springer Singapore
Book: Advances in Power Systems and Energy Management
Print ISBN: 978-981-10-4393-2

Electronic ISBN: 978-981-10-4394-9

Copyright Year: 2018
DOI: https://doi.org/10.1007/978-981-10-4394-9_48