Optimal Hankel norm approximation for the Pritchard-Salamon class of infinite-dimensional systems

Authors
Sasane, AJ Curtain, RF
Citation
Aj. Sasane et Rf. Curtain, Optimal Hankel norm approximation for the Pritchard-Salamon class of infinite-dimensional systems, INTEG EQ OP, 39(1), 2001, pp. 98-126
Citations number
20
Categorie Soggetti
Mathematics
Journal title
INTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN journal
0378620X → ACNP
Volume
39
Issue
1
Year of publication
2001
Pages
98 - 126
Database
ISI
SICI code
0378-620X(200101)39:1<98:OHNAFT>2.0.ZU;2-L
Abstract
The optimal Hankel norm approximation problem is solved under the assumptio ns that the system Sigma (A, B, C) is an exponentially stable, regular Prit chard-Salamon infinite-dimensional system. An explicit parameterization of all solutions is obtained in terms of the system parameters A, B, C.