On discrete-time polynomial systems

DOI10.1016/0362-546X(76)90008-0zbMath0354.93018OpenAlexW2056250332MaRDI QIDQ4126149

Yves Rouchaleau, Eduardo D. Sontag

Publication date: 1976

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(76)90008-0

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Canonical structure (93B10) Algebraic methods (93B25) Categories of machines, automata (18B20)

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Minimal polynomial realizations, Machines in a category, A Lie-theorie approach to nonlinear discrete-time controllability via Ritt's formal differential groups, An algebraic approach to hybrid systems, Linear dynamical systems over integral domains, Totally blind channel identification by exploiting guard intervals, On some questions of rationality and decidability, Commutative algebraic methods for controllability of discrete-time polynomial systems, On the existence of minimal realizations of linear dynamical systems over Noetherian integral domains, A note on observability tests for general polynomial and simple Wiener-Hammerstein systems, Controllability and observability of polynomial dynamical systems, The geometry of homogeneous polynomial dynamical systems, Hereditary realizations of linear neutral delay-differential systems, On the realization of nonlinear discrete-time systems, Realization theory of infinite-dimensional linear systems. Part I

Cites Work

• On the Length of a Hilbert Ascending Chain
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