DocumentCode
3034456
Title
The polynomial equation XR + QY = Φ: A characterization of solutions
Author
Emre, E. ; Silverman, L.M.
Author_Institution
University of Florida, Gainesville, Florida
fYear
1980
fDate
10-12 Dec. 1980
Firstpage
490
Lastpage
493
Abstract
We consider the solutions of the equation XR + QY + Φ. Here Q, R, Φ are given p x q, m x t and p x t polynomial matrices over a field k. X and Y are p x m and q x t polynomial matrices which are unknown. Using certain recent results on the realization of matrix fraction descriptions of transfer matrices, we give a characterization (parameterization) of all possible (X, Y) which solve this equation. This also provides a system theoretic interpretation for this equation.
Keywords
Control systems; Equations; Polynomials;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control including the Symposium on Adaptive Processes, 1980 19th IEEE Conference on
Conference_Location
Albuquerque, NM, USA
Type
conf
DOI
10.1109/CDC.1980.271845
Filename
4046711
Link To Document