Title :
Generalization of a solution to Sylvester matrix equation
Abstract :
Recently, a solution to the second-order Sylvester matrix equation was presented which did not depend on the Jordan form of a matrix F. Unfortunately, it was not shown some adequate schemes to calculation to the solution. In this paper, it will be shown that the idea can be used for the general-order equation. It will be also presented a calculation of minimal basis in polynomial vector space can be used for the solution to the general-order Sylvester matrix equation.
Keywords :
matrix algebra; polynomials; Sylvester matrix equation; general-order equation; polynomial vector space; Bismuth; Control systems; Damping; Eigenvalues and eigenfunctions; Equations; Linear systems; Polynomials; USA Councils; Vectors; general solutions; generalized Sylvester matrix equation; polynomial matrix;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434204
