Limit behavior of ellipsoids bounding attainable sets

Autor:	A. I. Ovseevich
Rok vydání:	1995
Předmět:	Control and Optimization Applied Mathematics Mathematical analysis Geometry Management Science and Operations Research Ellipsoid Systems theory Bounding overwatch Control system Attractor Theory of computation Limit (mathematics) Variety (universal algebra) Mathematics
Zdroj:	Journal of Optimization Theory and Applications. 85:393-407
ISSN:	1573-2878 0022-3239
Popis:	We study the asymptotic behavior of some ellipsoidal bounds for attainable 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 ast→∞. This ellipsoid is shown to be in many cases locally attractive.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8bfbed4b5a49d107c591b0e654e1373c https://doi.org/10.1007/bf02192234 Zobrazit plný text záznamu Full text from SpringerLink