Invariant distributions for discrete-time nonlinear systems

DOI10.1016/S0167-6911(84)80102-4zbMath0556.93031OpenAlexW2022605514MaRDI QIDQ762122

Salvatore Monaco, Dorothee Normand-Cyrot

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(84)80102-4

zbMATH Keywords

invariant distributionslinear analytic discrete-time systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Algebraic methods (93B25) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (12)

Geometrical and topological methods in optimal control theory ⋮ Robust output tracking for non-linear systems ⋮ Feedback control of robot Arm with discrete nonlinear model ⋮ Sliding mode control with perturbation estimation (SMCPE): a new approach ⋮ Implicit discrete-time systems and accessibility ⋮ On the observability of discrete-time dynamic systems -- a geometric approach ⋮ Joint state and parameter estimation of non-linearly parameterized discrete-time nonlinear systems ⋮ Functional expansions for nonlinear discrete-time systems ⋮ Invariant codistributions and the feedforward form for discrete-time nonlinear systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Non-linear non-interacting control with stability in discrete-time: A geometric framework

Cites Work

• Geometric state-space theory in linear multivariable control: A status report
• The immersion under feedback of a multidimensional discrete-time non-linear system into a linear system
• Functional expansions for nonlinear discrete-time systems
• $(A,\mathcal{B})$-Invariant Distributions and Disturbance Decoupling of Nonlinear Systems
• Nonlinear decoupling via feedback: A differential geometric approach
• Nonlinear controllability and observability
• Orbits of Families of Vector Fields and Integrability of Distributions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Invariant distributions for discrete-time nonlinear systems