Further results on the equivalence to Smith form of multivariate polynomial matrices

Research output: Contribution to journalArticle

Abstract

Multivariate polynomial matrices arise from the treatment of linear systems of partial differential equations, delay-differential equations or multidimensional discrete equations. In this paper we generalize some of the results obtained for the equivalence to the Smith normal form for a class of multivariate polynomial matrices.

Original languageEnglish
Pages (from-to)543-551
Number of pages9
JournalControl and Cybernetics
Volume42
Issue number2
Publication statusPublished - 2013

Fingerprint

Polynomial Matrices
Multivariate Polynomials
Equivalence
Smith Normal Form
Polynomials
Discrete Equations
Systems of Partial Differential Equations
Delay Differential Equations
Partial differential equations
Linear systems
Differential equations
Linear Systems
Generalise
Form
Class

Keywords

  • Gröbner bases
  • Linear functional systems
  • Multivariate polynomial matrices
  • Smith form
  • Unimodular equivalence

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Applied Mathematics
  • Modelling and Simulation

Cite this

Further results on the equivalence to Smith form of multivariate polynomial matrices. / Boudellioua, Mohamed S.

In: Control and Cybernetics, Vol. 42, No. 2, 2013, p. 543-551.

Research output: Contribution to journalArticle

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