Free algebras and noncommutative power series in the analysis of nonlinear control systems: an application to approximation problems

DOI10.4064/dm504-0-1zbMath1311.93019OpenAlexW2314380440MaRDI QIDQ4983477

Grigory M. Sklyar, Svetlana Ignatovich

Publication date: 26 March 2015

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/dm504-0-1

zbMATH Keywords

free algebranonlinear control systemformal power serieshomogeneous approximationprivileged coordinatestime optimalitycore Lie subalgebraleft ideal generated by a systemR. Ree's theorem

Mathematics Subject Classification ID

System structure simplification (93B11) Transformations (93B17) Algebraic methods (93B25) Realizations from input-output data (93B15)

Related Items

Subspaces of maximal singularity for homogeneous control systems ⋮ 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

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