OPTIMAL TIME-VARIANT SYSTEMS AND FACTORIZATION OF OPERATORS, I - MINIMAL AND OPTIMAL SYSTEMS

Authors
AROV DZ KAASHOEK MA PIK DR
Citation
Dz. Arov et al., OPTIMAL TIME-VARIANT SYSTEMS AND FACTORIZATION OF OPERATORS, I - MINIMAL AND OPTIMAL SYSTEMS, Integral equations and operator theory, 31(4), 1998, pp. 389-420
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
Journal title
Integral equations and operator theory → ACNP
ISSN journal
0378620X
Volume
31
Issue
4
Year of publication
1998
Pages
389 - 420
Database
ISI
SICI code
0378-620X(1998)31:4<389:OTSAFO>2.0.ZU;2-C
Abstract
For a contractive block lower triangular operator T optimal and star-o ptimal time-variant dissipative scattering realizations are introduced and their main properties are derived by state space considerations o nly. Two constructions of minimal and optimal realizations are given.