DocumentCode :
845190
Title :
Proper rational matrix diophantine equations and the exact model matching problem
Author :
Vardulakis, A.I.G.
Author_Institution :
Aristotelian Univ. of Thessaloniki, Greece
Volume :
29
Issue :
5
fYear :
1984
fDate :
5/1/1984 12:00:00 AM
Firstpage :
475
Lastpage :
477
Abstract :
Relying on the theory behind the Smith-MacMillan form of a rational matrix at 
, a necessary and sufficient condition is derived from the solvability of matrix Diophantine equations of the form 
, where 
, and 
are given proper rational matrices and 
and 
are unknown proper rational matrices. It is shown that the above result can be used in order to resolve in a new illuminating way the exact model matching problem (EMMP). If a solution to EMMP exists, then the family of all solutions is parametrized.
, a necessary and sufficient condition is derived from the solvability of matrix Diophantine equations of the form , where , and are given proper rational matrices and and are unknown proper rational matrices. It is shown that the above result can be used in order to resolve in a new illuminating way the exact model matching problem (EMMP). If a solution to EMMP exists, then the family of all solutions is parametrized.Keywords :
Linear systems; Rational matrices; Control systems; Cost accounting; Equations; H infinity control; Mathematics; Poles and zeros; Polynomials; Sufficient conditions; Writing;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1984.1103566
Filename :
1103566
Link To Document :
