Equivalence of different realization methods for higher order nonlinear input-output differential equations

DOI10.3166/ejc.11.185-193zbMath1293.93175OpenAlexW2028831454MaRDI QIDQ2511974

Yu. R. Kotta, Tanel Mullari

Publication date: 7 August 2014

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3166/ejc.11.185-193

zbMATH Keywords

nonlinear control systemgeometric methodsstate space realizationalgebraic methodsinput-output equation

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Algebraic methods (93B25) Realizations from input-output data (93B15)

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Cites Work

• Bilinear realizability is equivalent to existence of a singular affine differential i/o equation
• Minimal polynomial realizations
• On realization of nonlinear systems described by higher-order differential equations
• Algebraic Differential Equations and Rational Control Systems
• A linear algebraic framework for dynamic feedback linearization
• Some realizations of algorithms for nonlinear input-output systems
• Generalized input-output equations and nonlinear realizability
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