DocumentCode
848557
Title
Kronecker Maps and Sylvester-Polynomial Matrix Equations
Author
Wu, Ai-Guo ; Duan, Guang-Ren ; Xue, Yu
Author_Institution
Center for Control Theor. & Guidance Tech, Harbin Inst. of Technol.
Volume
52
Issue
5
fYear
2007
fDate
5/1/2007 12:00:00 AM
Firstpage
905
Lastpage
910
Abstract
The concepts of Kronecker maps and Sylvester-polynomial matrix equations are proposed. Some properties of the Kronecker maps are deduced. It is shown that many kinds of matrix equations can be formulated into the so-called Sylvester-polynomial matrix equations. With the help of the Kronecker maps, general explicit solutions of the Sylvester-polynomial matrix equations are established when the polynomial matrices possess F-primeness. For the nonsquare case, the proposed solutions can offer all the degrees of freedom represented by a free parameter matrix
Keywords
linear systems; polynomial matrices; time-varying systems; Kronecker maps; Sylvester-polynomial matrix equations; explicit solutions; free parameter matrix; linear dynamical systems; Control theory; Eigenvalues and eigenfunctions; Equations; Fault detection; Large-scale systems; Linear systems; Polynomials; Robustness; Stability analysis; Degrees-of-freedom; Kronecker maps; Sylvester-polynomial matrix equations; explicit solutions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2007.895906
Filename
4200875
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