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Right Coprime Factorizations for Single‐Input Descriptor Linear Systems: A Simple Numerically Stable Algorithm
Author(s) -
Duan GuangRen
Publication year - 2002
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2002.tb00341.x
Subject(s) - coprime integers , mathematics , scalar (mathematics) , factorization , simple (philosophy) , linear system , triangular matrix , matrix decomposition , iterative method , algorithm , pure mathematics , mathematical analysis , philosophy , eigenvalues and eigenvectors , physics , geometry , epistemology , quantum mechanics , invertible matrix
ABSTRACT Based on the upper‐triangular Hessenberg forms for descriptor linear systems and a method for right coprime factorization of descriptor linear systems using matrix elementary transformations, a simple, neat and numerically stable iterative formula for right coprime factorization of a regular singleinput descriptor linear system is proposed. This iterative formula gives directly the coefficients of the solutions to the coprime factorization of the system, and involves only multiplication and additions of non‐negative scalar terms. Numerical examples are presented to demonstrate the proposed algorithm.