Right Coprime Factorizations for Single‐Input Descriptor Linear Systems: A Simple Numerically Stable Algorithm
Guang‐Ren Duan · Asian Journal of Control · 2002
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.