OPTIMALITY CONDITIONS IN MULTIVARIABLE L(2) MODEL-REDUCTION

Authors
KRAJEWSKI W LEPSCHY A MIAN GA VIARO U
Citation
W. Krajewski et al., OPTIMALITY CONDITIONS IN MULTIVARIABLE L(2) MODEL-REDUCTION, Journal of the Franklin Institute, 330(3), 1993, pp. 431-439
Citations number
9
Categorie Soggetti
Mathematics,"Engineering, Mechanical
Journal title
Journal of the Franklin Institute → ACNP
ISSN journal
00160032
Volume
330
Issue
3
Year of publication
1993
Pages
431 - 439
Database
ISI
SICI code
0016-0032(1993)330:3<431:OCIMLM>2.0.ZU;2-6
Abstract
The problem of approximating an original rational matrix by means of a rational matrix of lower order according to the L2-norm criterion is considered. In particular, a compact form of the necessary conditions for optimality is derived, which may be considered as the extension to the multivariable case of the interpolation conditions valid in the s calar case. On the basis of this form, an iterative numerical techniqu e to find the optimal approximating model is suggested.