Cascade decomposition of nonlinear systems, foliations and ideals of transitive Lie algebras (Q1057221)
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scientific article; zbMATH DE number 3896773
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cascade decomposition of nonlinear systems, foliations and ideals of transitive Lie algebras |
scientific article; zbMATH DE number 3896773 |
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Cascade decomposition of nonlinear systems, foliations and ideals of transitive Lie algebras (English)
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1985
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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].
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cascade decomposition
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parallel decomposition
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nonlinear control system
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Lie algebra
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