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An Algebraic Approach for stability Analysis of Linear Systems with Complex Coefficients

by S. N. Sivanandam, K. Sreekala
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 44 - Number 3
Year of Publication: 2012
Authors: S. N. Sivanandam, K. Sreekala
10.5120/6242-8114

S. N. Sivanandam, K. Sreekala . An Algebraic Approach for stability Analysis of Linear Systems with Complex Coefficients. International Journal of Computer Applications. 44, 3 ( April 2012), 13-16. DOI=10.5120/6242-8114

@article{ 10.5120/6242-8114,
author = { S. N. Sivanandam, K. Sreekala },
title = { An Algebraic Approach for stability Analysis of Linear Systems with Complex Coefficients },
journal = { International Journal of Computer Applications },
issue_date = { April 2012 },
volume = { 44 },
number = { 3 },
month = { April },
year = { 2012 },
issn = { 0975-8887 },
pages = { 13-16 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume44/number3/6242-8114/ },
doi = { 10.5120/6242-8114 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:34:34.535588+05:30
%A S. N. Sivanandam
%A K. Sreekala
%T An Algebraic Approach for stability Analysis of Linear Systems with Complex Coefficients
%J International Journal of Computer Applications
%@ 0975-8887
%V 44
%N 3
%P 13-16
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper employing Routh's table, a geometrical stability criterion for the analysis of linear time-invariant system is formulated. The proposed stability criterion is applied for the system, whose characteristic equation having complex coefficients. For this Routh like table is presented with complex terms and the signs pair-wise elements with the first column of the table are observed. The proof for the criterion is also given which is based on the Hurwitz's matrix and its determinants. It is found that the proposed method is termed as ''SIGN PAIR CRITERION'' and is illustrated with suitable examples.

References
  1. Xu-Kai-Xie,''Stable Polynomials with Complex Coefficients''Proceedings of 24th Conference on Decision and Control, Dec. 1985,pp. 324-325.
  2. H. H. Hwang , and P. C. Tripathi, "Generalisation of the Routh-Hurwitz Criterion and its Applications," pp. 410-411, May 1970.
  3. Frank E. , "On the zeros of polynomials with complex coefficients," Bull. Amer. Math. Soc. ,1946 pp. 144–157.
  4. Benjamin C. Kue, Automatic Cntrol Syatems, 7th ed. Newdelhi,Prentice- Hall ,1995,pp. 334-339.
  5. Katsuhico Ogata, Modern Control Engineering, 3rd ed. Newdelhi,Prentice- Hall ,2001,pp. 290-296.
  6. A. Doria-Cerezo,M. Bodson,C. Battle and R. Ortega "A Direct Stator Current Controller for a Doubly –Fed Induction Machine,"
  7. M. Bodson, "The complex Hurwitz test for the stability analysis of induction generators," American Control Conference ,MD,USA , pp. 2539-2544,July 2010.
  8. Lehnigh S. H. ,''Stability theorems for linear motions''Prentice –Hall,1996.
  9. Jacob Kogan, "Robust Hurwitz Stability of Polynomials with Complex Coefficients,"IEEE Tansactions on Automatic Control,vol. 38, pp. 1304-1308,Aug. 1993.
Index Terms

Computer Science
Information Sciences

Keywords

Hurwitz's Matrix Routh's Array Routh's Table Sign Pair Criterion

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