Control sets of linear systems on semi-simple Lie groups

Autor:	Guilherme Zsigmond, Philippe Jouan, Victor Ayala, Adriano Da Silva
Rok vydání:	2020
Předmět:	Pure mathematics Applied Mathematics 010102 general mathematics Linear system Lie group 01 natural sciences Identity (music) 010101 applied mathematics Simple (abstract algebra) Control set 0101 mathematics Control (linguistics) Analysis Mathematics
Zdroj:	Journal of Differential Equations. 269:449-466
ISSN:	0022-0396
DOI:	10.1016/j.jde.2019.12.010
Popis:	In this paper we study the main properties of control sets with nonempty interior of linear systems on semisimple Lie groups. We show that, unlike the solvable case, linear systems on semisimple Lie groups may have more than one control set with nonempty interior and that they are contained in right translations of the one around the identity.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9108255058e3ddca634e07f0abe27572 https://doi.org/10.1016/j.jde.2019.12.010 Zobrazit plný text záznamu Full Text from ScienceDirect