Minimal realizations of the matrix transition Lie group for bilinear control systems: Explicit results
type: Item
instance of: scholarly article
title: Minimal realizations of the matrix transition Lie group for bilinear control systems: Explicit results
zbMATH Open document ID: 0631.93014
DOI: 10.1016/0167-6911(87)90050-8
author: G. Salut
author: Thierry E. Huillet
author: André Monin
published in: Systems \& Control Letters
publication date: 1987-01-01T00:00:00Z
review text: Magnus exponentiation and Wei-Norman factorization are two different representations of the solutions of bilinear control systems evolving on matrix Lie groups. However, the techniques used so far do not allow their effective construction, in general. In this article, the authors derive explicit formulas for those representations and also the relation between them.
Mathematics Subject Classification ID: 93B20
Mathematics Subject Classification ID: 22E99
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B25
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 4027274
zbMATH Keywords: minimal realizations
zbMATH Keywords: Magnus exponentiation
zbMATH Keywords: Wei-Norman factorization
zbMATH Keywords: bilinear control systems
zbMATH Keywords: matrix Lie groups
Wikidata QID: Q115363796
MaRDI profile type: Publication
full work available at URL: 0167-6911(87)90050-8
OpenAlex ID: W2090538478
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description: scientific article; zbMATH DE number 4027274