Fliess series, a generalization of the Ree's theorem, and an algebraic approach to a homogeneous approximation problem

Autor:	Svetlana Yu. Ignatovich, Grigory M. Sklyar
Rok vydání:	2008
Předmět:	Algebra Series (mathematics) Control and Systems Engineering Generalization Product (mathematics) Associative algebra Dimension of an algebraic variety Albert–Brauer–Hasse–Noether theorem Algebraic number Computer Science Applications Connection (mathematics) Mathematics
Zdroj:	International Journal of Control. 81:371-380
ISSN:	1366-5820 0020-7179
DOI:	10.1080/00207170701561427
Popis:	In this paper, an algebraic technique originated by M. Fliess is developed and applied to a homogeneous approximation problem for nonlinear affine control systems. The central role is played by a generalization of the R. Ree's theorem on a connection of Lie elements and the shuffle product operation in a free associative algebra.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::21c3a7a2e146205c05c6ffe8fb928906 https://doi.org/10.1080/00207170701561427 Zobrazit plný text záznamu