A Finiteness Criterion for Nonlinear Input–Output Differential Systems

DOI10.1137/0321044zbMath0529.93031OpenAlexW2047315060MaRDI QIDQ3312095

Michel Fliess, Ivan Kupka

Publication date: 1983

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0321044

zbMATH Keywords

input-output representationbilinear systeminfinite jetsobservation spacestate-affine system

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Vector fields, frame fields in differential topology (57R25) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Nonlinear systems in control theory (93C10) Transformations (93B17) Jets in global analysis (58A20) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Attainable sets, reachability (93B03) Realizations from input-output data (93B15) Control/observation systems governed by ordinary differential equations (93C15) Linear and affine connections (53B05)

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