Matrix partial fraction expansions of rational matrices

A general and rigorous derivation is made of a new formula, established recently in the literature, for matrix partial fraction expansion of a rational matrix. The procedure, by use of a minimal Jordan realization of the rational matrix, provides as a byproduct, general expressions for residue matri...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1987-04, Vol.32 (4), p.330-333
Main Author: Wang, Bor-Chyun
Format: Article
Language:English
Subjects:
Applied sciences
Artificial intelligence
Computer aided software engineering
Computer science
control theory
systems
Control engineering
Control theory. Systems
Exact sciences and technology
Genetic expression
Interpolation
Lagrangian functions
Linear systems
Polynomials
System theory
Taylor series
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Summary:A general and rigorous derivation is made of a new formula, established recently in the literature, for matrix partial fraction expansion of a rational matrix. The procedure, by use of a minimal Jordan realization of the rational matrix, provides as a byproduct, general expressions for residue matrices in terms of products of columns of the output matrix and rows of the input matrix of the realization.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1987.1104592