Subspaces of maximal singularity for homogeneous control systems
From MaRDI portal
Publication:2041853
DOI10.1007/s10883-020-09518-xzbMath1469.93011OpenAlexW3095188471MaRDI QIDQ2041853
Svetlana Ignatovich, Grigory M. Sklyar
Publication date: 26 July 2021
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10883-020-09518-x
nonlinear control systemhomogeneous approximationcore Lie subalgebraseries of iterated integralsset of maximal singularity
Nonlinear systems in control theory (93C10) System structure simplification (93B11) Algebraic methods (93B25)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Realizable growth vectors of affine control systems
- Normalization of homogeneous approximations of symmetric affine control systems with two controls
- Lie elements and an algebra associated with shuffles
- Description of all privileged coordinates in the homogeneous approximation problem for nonlinear control systems
- Local invariants of smooth control systems
- Representations of control systems in the Fliess algebra and in the algebra of nonlinear power moments.
- Uniform estimation of sub-Riemannian balls
- On differential systems, graded Lie algebras and pseudo-groups
- Graded Approximations and Controllability Along a Trajectory
- Solvable Approximations to Control Systems
- Nilpotent and High-Order Approximations of Vector Field Systems
- Lyndon Words, Free Algebras and Shuffles
- Fliess series, a generalization of the Ree's theorem, and an algebraic approach to a homogeneous approximation problem
- Local asymptotic approximation of non-linear control systems!
- Nilpotent Approximations of Control Systems and Distributions
- Fonctionnelles causales non linéaires et indéterminées non commutatives
- An Extension of a Theorem of Nagano on Transitive Lie Algebras
- Approximation of Time-Optimal Control Problems via Nonlinear Power Moment Problems
- Nonholonomic tangent spaces: intrinsic construction and rigid dimensions
- Free algebras and noncommutative power series in the analysis of nonlinear control systems: an application to approximation problems
This page was built for publication: Subspaces of maximal singularity for homogeneous control systems