LOCAL ASYMPTOTIC-BEHAVIOR OF ELLIPSOIDS BOUNDING ATTAINABLE SETS

Authors
OVSEEVICH AI
Citation
Ai. Ovseevich, LOCAL ASYMPTOTIC-BEHAVIOR OF ELLIPSOIDS BOUNDING ATTAINABLE SETS, Automation and remote control, 55(12), 1994, pp. 1745-1753
Citations number
4
Categorie Soggetti
Controlo Theory & Cybernetics","Computer Application, Chemistry & Engineering","Instument & Instrumentation","Robotics & Automatic Control
Journal title
Automation and remote control → ACNP
ISSN journal
00051179
Volume
55
Issue
12
Year of publication
1994
Part
1
Pages
1745 - 1753
Database
ISI
SICI code
0005-1179(1994)55:12<1745:LAOEBA>2.0.ZU;2-C
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 be a limit of the above bounds as t --> infinity. This ellipsoid as shown t o be in many cases locally attractive.