Title :
The polynomial equation XR + QY = Φ: A characterization of solutions
Author :
Emre, E. ; Silverman, L.M.
Author_Institution :
University of Florida, Gainesville, Florida
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;
Conference_Titel :
Decision and Control including the Symposium on Adaptive Processes, 1980 19th IEEE Conference on
Conference_Location :
Albuquerque, NM, USA
DOI :
10.1109/CDC.1980.271845
