Linearization through state immersion of nonlinear systems admitting Lie symmetries

DOI10.1016/j.automatica.2009.03.028zbMath1185.93026OpenAlexW2085238150MaRDI QIDQ963782

Laura Menini, Antonio Tornambe

Publication date: 14 April 2010

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2009.03.028

zbMATH Keywords

nonlinear systemslinearizationLie symmetriesco-ordinate transformationsstate immersion

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Linearizations (93B18) Control problems involving ordinary differential equations (34H05) Algebraic methods (93B25)

Related Items (7)

Exact and approximate feedback linearization without the linear controllability assumption ⋮ Design of state detectors for nonlinear systems using symmetries and semi-invariants ⋮ Nonlinear superposition formulas for two classes of non-holonomic systems ⋮ Semi-invariants and their use for stability analysis of planar systems ⋮ Computation of the real logarithm for a discrete-time nonlinear system ⋮ Computation of invariant sets via immersion for discrete-time nonlinear systems ⋮ Deformations for linear periodic discrete-time systems: the adjoint normal form

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