Fliess series, a generalization of the Ree's theorem, and an algebraic approach to a homogeneous approximation problem

DOI10.1080/00207170701561427zbMath1152.93334OpenAlexW2017942945MaRDI QIDQ3542974

Svetlana Ignatovich, Grigory M. Sklyar

Publication date: 1 December 2008

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170701561427

Mathematics Subject Classification ID

Algebraic methods (93B25)

Related Items (6)

Realizable growth vectors of affine control systems ⋮ Normalization of homogeneous approximations of symmetric affine control systems with two controls ⋮ Subspaces of maximal singularity for homogeneous control systems ⋮ Free algebras and noncommutative power series in the analysis of nonlinear control systems: an application to approximation problems ⋮ Implementation of the algorithm for constructing homogeneous approximations of nonlinear control systems ⋮ Time-optimal control problem for a special class of control systems: optimal controls and approximation in the sense of time optimality

Cites Work

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• Solvable Approximations to Control Systems
• Nilpotent and High-Order Approximations of Vector Field Systems
• On the Garsia Lie Idempotent
• Realizations of nonlinear systems and abstract transitive Lie algebras
• Approximation of Time-Optimal Control Problems via Nonlinear Power Moment Problems
• Moment Approach to Nonlinear Time Optimality
• Local Realizations of Nonlinear Causal Operators
• Controllability of nonlinear systems

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