Title :
Matrix partial fraction expansions of rational matrices
Author :
Ling, Yen Lei ; Wang, Bor-Chwn
Author_Institution :
National Chiao Tung University, Hsinchu, Taiwan, Republic of China
fDate :
4/1/1987 12:00:00 AM
Abstract :
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.
Keywords :
Partial fraction expansions; Rational matrices; Artificial intelligence; Computer aided software engineering; Control engineering; Genetic expression; Interpolation; Lagrangian functions; Linear systems; Polynomials; Taylor series;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1987.1104592
