DocumentCode
919584
Title
Upper and lower bounds for approximation in the gap metric
Author
Georgiou, Tryphon T. ; Smith, Malcolm C.
Author_Institution
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
Volume
38
Issue
6
fYear
1993
fDate
6/1/1993 12:00:00 AM
Firstpage
946
Lastpage
951
Abstract
Upper and lower bounds for the closest approximant of degree k <n in the gap metric to a plant of degree n are obtained. The bounds are expressed in terms of the singular values of two Hankel operators defined in terms of the symbol of the graph of the plant. The question of robust stability and performance of feedback systems is examined in the context of approximation of plant and controller in the gap metric
Keywords
approximation theory; control system analysis; feedback; stability; Hankel operators; approximation; feedback systems; gap metric; lower bounds; robust stability; upper bounds; Circuit stability; Differential equations; Polynomials; Robustness; Stability criteria; Testing; Upper bound;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.222308
Filename
222308
Link To Document