DocumentCode
1360162
Title
Genericness of solution to N -dimensional polynomial matrix equation XA =I
Author
Kurek, Jerzy E.
Author_Institution
Inst. Automat. Przemyslowej, Politech. Warzawaska, Poland
Volume
37
Issue
8
fYear
1990
fDate
8/1/1990 12:00:00 AM
Firstpage
1041
Lastpage
1043
Abstract
It is shown that the solution to N -dimensional polynomial matrix equation XA =I , dim A =n*m is generic if n ⩾m +N , and nongeneric in other cases. The author shows how to apply this result to equations with structured matrices A . An example of application is given: c -observability and c -reconstructability of a 2-D general state-space model are generic if a system has more than one output
Keywords
matrix algebra; observability; polynomials; state-space methods; 2-D general state-space model; N-dimensional polynomial matrix equation; c-observability; c-reconstructability; generic; nongeneric; structured matrices; Circuits and systems; Controllability; Equations; Nonlinear systems; Observability; Polynomials;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/31.56089
Filename
56089
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