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

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

Authors :
K. Sreekala
S. N. Sivanandam
Source :
International Journal of Computer Applications. 44:13-16
Publication Year :
2012
Publisher :
Foundation of Computer Science, 2012.

Abstract

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.

Details

ISSN :
09758887
Volume :
44
Database :
OpenAIRE
Journal :
International Journal of Computer Applications
Accession number :
edsair.doi...........093deb13cd34ed5e9fb45be2d6ea15ba
Full Text :
https://doi.org/10.5120/6242-8114