Controlled and Conditioned Invariance for Polynomial and Rational Feedback Systems

DOI10.1007/978-3-030-38356-5_10zbMath1451.93127OpenAlexW3031995197MaRDI QIDQ5118410

Eva Zerz, Viktor Levandovskyy, Christian Schilli

Publication date: 8 September 2020

Published in: Algebraic and Symbolic Computation Methods in Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-38356-5_10

zbMATH Keywords

state feedbackinvariant setsGröbner basessymbolic computationoutput feedbackstate-space systemspolynomial control systemscontrolled and conditioned invariancepolynomial feedbackaffine intersectionfractional modulescontrolled invariant varietiesrational feedback

Mathematics Subject Classification ID

Feedback control (93B52) Algebraic methods (93B25)

Related Items (1)

Attracting and natural invariant varieties for polynomial vector fields and control systems

Uses Software

• Plural
• SINGULAR
• OreModules

Cites Work

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• A lattice approach to analysis and synthesis problems
• Controlled invariant hypersurfaces of polynomial control systems
• Computation of bases of free modules over the Weyl algebras.
• Effective algorithms for parametrizing linear control systems over Ore algebras
• On a generalization of the Youla--Kučera parametrization. I: the fractional ideal approach to siso systems
• Nonlinear decoupling via feedback: A differential geometric approach

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