Cascade decomposition of nonlinear systems, foliations and ideals of transitive Lie algebras
type: Item
instance of: scholarly article
title: Cascade decomposition of nonlinear systems, foliations and ideals of transitive Lie algebras
zbMATH Open document ID: 0562.93040
DOI: 10.1016/0167-6911(85)90019-2
author: Michel Fliess
published in: Systems \& Control Letters
publication date: 1985-01-01T00:00:00Z
review text: In this research announcement the notions of cascade decomposition and parallel decomposition of a nonlinear control system are connected with similar concepts for the associated system's Lie algebra. In particular a nonlinear system admits a cascade decomposition if the Lie algebra of the system has a nontrivial ideal whereas a parallel decomposition corresponds to a direct sum decomposition into two nontrivial ideals of this algebra. Further details are reported by the same author [Décompositions en cascades des systèmes automatiques et feuilletages invariants'', to appear in Bull. Soc. Math. France].
reviewed by: H. Nijmeijer
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93A99
Mathematics Subject Classification ID: 17B99
Mathematics Subject Classification ID: 58A30
Mathematics Subject Classification ID: 37C85
zbMATH DE Number: 3896773
zbMATH Keywords: cascade decomposition
zbMATH Keywords: parallel decomposition
zbMATH Keywords: nonlinear control system
zbMATH Keywords: Lie algebra
MaRDI profile type: Publication
full work available at URL: 0167-6911(85)90019-2
OpenAlex ID: W1971994670
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description: scientific article; zbMATH DE number 3896773