Study of Different Polynomial and Matrix Fractions

Exploring the Properties of Polynomial and Matrix Fractions in Linear Systems

Authors

  • S. K. Nayeem Pasha CMJ University

Keywords:

polynomials, polynomial matrices, linear systems, state-space equations, coprimeness, greatest common divisors, unimodularity, column- and row- reducedness, canonical Hermite or Popov forms

Abstract

This article illustrates howpolynomials and polynomial matrices can be used to describe linear sys­tems.The focus is put on the transformation to and from the state-space equations,because it is a convenient way to introduce gradually the most importantproperties of polynomials and polyno­mial matrices, such as: coprimeness,greatest common divisors, unimodularity, column- and row- reducedness,canonical Hermite or Popov forms.

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Published

2012-01-01

How to Cite

[1]
“Study of Different Polynomial and Matrix Fractions: Exploring the Properties of Polynomial and Matrix Fractions in Linear Systems”, JASRAE, vol. 3, no. 5, pp. 0–0, Jan. 2012, Accessed: Jun. 15, 2025. [Online]. Available: https://ignited.in/index.php/jasrae/article/view/4221

Issue

Vol. 3 No. 5 (2012): Journal of Advances and Scholarly Researches in Allied Education (JASRAE)

Section

Articles

How to Cite

[1]
“Study of Different Polynomial and Matrix Fractions: Exploring the Properties of Polynomial and Matrix Fractions in Linear Systems”, JASRAE, vol. 3, no. 5, pp. 0–0, Jan. 2012, Accessed: Jun. 15, 2025. [Online]. Available: https://ignited.in/index.php/jasrae/article/view/4221