Title
State space representation for arbitrary orthogonal rational functions
Abstract
We first give a brief summary of the arguments that lead to the conclusion that the use of orthogonal rational functions in system identification should not be restricted to the Takenaka–Malmquist basis because there are important cases where orthogonality with respect to a certain nonnegative weight function is required. The main result, however, is a generalization of known state space descriptions for the Takenaka–Malmquist basis to the more general case. This is important for control problems.
Year
DOI
Venue
2003
10.1016/S0167-6911(02)00303-1
Systems & Control Letters
Keywords
Field
DocType
Orthogonal rational functions,System identification,Least squares,Control theory,State space description
Least squares,Weight function,State-space representation,Pure mathematics,Orthogonality,Orthogonal basis,Rational function,System identification,State space,Mathematics
Journal
Volume
Issue
ISSN
49
2
0167-6911
Citations 
PageRank 
References 
3
0.55
3
Authors
2
Name
Order
Citations
PageRank
Patrick Van Gucht130.55
Adhemar Bultheel221734.80