A Lie-theorie approach to nonlinear discrete-time controllability via Ritt's formal differential groups

DOI10.1016/S0167-6911(81)80033-3zbMath0498.93010OpenAlexW2024539152WikidataQ115339577 ScholiaQ115339577MaRDI QIDQ1171534

Dorothee Normand-Cyrot, Michel Fliess

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(81)80033-3

zbMATH Keywords

nonlinear discrete-time systemlocal weak controllabilityRitt's formal differential group

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) General theory of differentiable manifolds (58A99) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

Related Items (8)

Further results on controllability properties of discrete-time nonlinear systems ⋮ Geometric control theory ⋮ Nonlinear discrete-time systems with delayed control: a reduction ⋮ Geometrical and topological methods in optimal control theory ⋮ Some aspects of constrained controllability of dynamical discrete-time systems^* ⋮ Local controllability for families of diffeomorphisms ⋮ Dimension reduction in recurrent networks by canonicalization ⋮ Local controllability and semigroups of diffeomorphisms

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• Un codage non commutatif pour certains systmes chantillonns non linaires
• Nonlinear controllability and observability
• Contrôlabilité des Systèmes non Linéaires
• Controllability of discrete bilinear systems with bounded control

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