The immersion under feedback of a multidimensional discrete-time non-linear system into a linear system
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Publication:3682308
DOI10.1080/00207178308933073zbMath0566.93012OpenAlexW2088806028WikidataQ126245704 ScholiaQ126245704MaRDI QIDQ3682308
Dorothee Normand-Cyrot, Salvatore Monaco
Publication date: 1983
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207178308933073
Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Transformations (93B17)
Related Items (20)
Geometric control theory ⋮ Method for the global analysis of non-linear parametrized systems ⋮ Approximate and local linearizability of non-linear discrete-time systems ⋮ Geometrical and topological methods in optimal control theory ⋮ Discrete‐time sliding mode output tracking control for a class of nonlinear perturbed systems ⋮ Discrete-time nonlinear feedback linearization via physics-informed machine learning ⋮ Discrete-time normal form for left invertibility problem ⋮ Linearization by output injection under approximate sampling ⋮ Zeros at infinity for nonlinear discrete time systems ⋮ Remarks on linearization of discrete-time autonomous systems and nonlinear observer design ⋮ Linearization of discrete-time systems by exogenous dynamic feedback ⋮ Functional expansions for nonlinear discrete-time systems ⋮ Finite Volterra-series realizations and input-output approximations of non-linear discrete-time systems ⋮ Linearization of discrete-time systems ⋮ A functional equations approach to nonlinear discrete-time feedback stabilization through pole-placement ⋮ A constructive condition for dynamic feedback linearization ⋮ On the immersion of a discrete-time polynomial analytic system into a polynomial affine one ⋮ Invariant distributions for discrete-time nonlinear systems ⋮ A sampled normal form for feedback linearization ⋮ Computation of invariant sets via immersion for discrete-time nonlinear systems
Cites Work
- Decoupling of nonlinear systems
- Associative differential operations
- Generating series for discrete-time nonlinear systems
- $(A,\mathcal{B})$-Invariant Distributions and Disturbance Decoupling of Nonlinear Systems
- Nonlinear decoupling via feedback: A differential geometric approach
- The structure of decoupled non-linear systems
- State feedback decoupling of nonlinear systems
- Nonlinear controllability and observability
- Realization theory of discrete-time nonlinear systems: Part I-The bounded case
- Contrôlabilité des Systèmes non Linéaires
- Controllability of nonlinear systems
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