Geometric methods for the classification of linear feedback systems

DOI10.1016/0167-6911(85)90074-XzbMath0576.93016OpenAlexW1972457671MaRDI QIDQ1064993

Christopher I. Byrnes, Peter E. Crouch

Publication date: 1985

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(85)90074-x

zbMATH Keywords

invariantscanonical formsCauchy indexproper rational functionsroot locioutput feedback group

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Linear systems in control theory (93C05) Canonical structure (93B10) Grassmannians, Schubert varieties, flag manifolds (14M15) Algebraic methods (93B25) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (7)

Static output feedback -- a survey ⋮ Hermitian pencils and output feedback stabilization of scalar systems ⋮ Invariant output feedback stabilisability: the scalar case ⋮ Full static output feedback equivalence ⋮ Output feedback invariants and complex breakpoints ⋮ Cascade equivalence of linear systems ⋮ Output feedback invariants

Cites Work

• Some remarks on a conjecture in parameter adaptive control
• On a theorem of Hermite and Hurwitz
• The order of any stabilizing regulator is sufficient a priori information for adaptive stabilization
• A complex variable approach to the analysis of linear multivariable feedback systems
• Invariant theory, old and new
• Some geometric questions in the theory of linear systems
• Cascade equivalence of linear systems
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