Linear feedback systems and the groups of Galois and Lie

DOI10.1016/0024-3795(83)90053-8zbMath0509.93049OpenAlexW1975161889WikidataQ115364362 ScholiaQ115364362MaRDI QIDQ1838936

Roger W. Brockett

Publication date: 1983

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(83)90053-8

zbMATH Keywords

feedbackGalois groupfundamental grouproot locus

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Polynomials in general fields (irreducibility, etc.) (12E05) Lie algebras of Lie groups (22E60)

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Cites Work

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• Galois groups of enumerative problems
• Completely integrable systems, Euclidean Lie algebras, and curves
• The infinite groups of Lie and Cartan. I: The transitive groups
• The classification of the irreducible complex algebras of infinite types
• The McMillan and Newton polygons of a feedback system and the construction of root loci†
• Simultaneous similarity of matrices