LIMIT BEHAVIOR OF ELLIPSOIDS BOUNDING ATTAINABLE SETS

Authors
OVSEEVICH AI
Citation
Ai. Ovseevich, LIMIT BEHAVIOR OF ELLIPSOIDS BOUNDING ATTAINABLE SETS, Journal of optimization theory and applications, 85(2), 1995, pp. 393-407
Citations number
4
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
85
Issue
2
Year of publication
1995
Pages
393 - 407
Database
ISI
SICI code
0022-3239(1995)85:2<393:LBOEBA>2.0.ZU;2-A
Abstract
We study the asymptotic behavior of some ellipsoidal bounds for attain able sets of stable linear control dynamic systems. We show that, in a variety of situations, there is exactly one ellipsoid which can serve as a limit of the above bounds as t-->infinity. This ellipsoid is sho wn to be in many cases locally attractive.