Further results on controllability properties of discrete-time nonlinear systems

DOI10.1007/BF01985073zbMath0808.93004OpenAlexW2155670556MaRDI QIDQ1337006

Francesca Albertini

Publication date: 26 October 1994

Published in: Dynamics and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01985073

zbMATH Keywords

controllabilitytransitivitydiscrete-time nonlinear systemsforward accessibilityweak Poisson stability property

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Attractors of solutions to ordinary differential equations (34D45)

Related Items (8)

On small-controllability and controllability of a class of nonlinear systems ⋮ Remarks on universal nonsingular controls for discrete-time systems ⋮ On controllability and near-controllability of discrete-time inhomogeneous bilinear systems without drift ⋮ Controllability to the origin implies state-feedback stabilizability for discrete-time nonlinear systems ⋮ On small-controllability of a class of Hammerstein-nonlinear systems – an implicit function approach ⋮ Estimation of the Output Deviation Norm for Uncertain, Discrete-Time Nonlinear Systems in a State Dependent Form ⋮ A geometric method for observability and accessibility of discrete impulsive nonlinear systems ⋮ Non-linear non-interacting control with stability in discrete-time: A geometric framework

Cites Work

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• A Lie-theorie approach to nonlinear discrete-time controllability via Ritt's formal differential groups
• Controllability of Nonlinear Discrete-Time Systems: A Lie-Algebraic Approach
• Discrete-Time Transitivity and Accessibility: Analytic Systems
• Orbites de semi-groupes de morphismes réguliers et systèmes non linéaires en temps discret
• Orbits of Families of Vector Fields and Integrability of Distributions

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