DocumentCode
778370
Title
A simple approach to solving the Diophantine equation
Author
Fang, Chun-Hsiung
Author_Institution
Dept. of Electr. Eng., Nat. Kaohsiung Inst. of Technol., Taiwan
Volume
37
Issue
1
fYear
1992
fDate
1/1/1992 12:00:00 AM
Firstpage
152
Lastpage
155
Abstract
Based on the state-space concepts, a simple approach to finding all polynomial matrix solutions of the Diophantine equation is proposed. The procedure presented is very simple in comparison to earlier ones. Unlike earlier ones, it is not necessary to solve any equation. Only two constant matrices which could be selected at random are required. All solutions are expressed in an explicit formula form
Keywords
matrix algebra; polynomials; state-space methods; Diophantine equation; constant matrices; matrix algebra; polynomial matrix solutions; state-space; Automatic control; Control system synthesis; Control systems; Equations; Genetic expression; Matrices; Output feedback; State feedback; Time varying systems; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.109654
Filename
109654
Link To Document