publication . Article . Other literature type . 1991

Asymptotically stabilizing feedback controls

Henry Hermes;
Open Access
  • Published: 01 Jul 1991 Journal: Journal of Differential Equations, volume 92, issue 1, pages 76-89 (issn: 0022-0396, Copyright policy)
  • Publisher: Elsevier BV
Abstract
Abstract The problem considered is the existence and construction of an asymptotically stabilizing feedback control for a rest solution of an n-dimensional, single-input, affine control system. The method is to construct high order, homogeneous approximations of the vector fields defining the control system which then describe an approximating control system such that an asymptotically stabilizing control of the latter system is a local asymptotically stabilizing control of the original system. Unlike linear approximations, there are many possible nonlinear homogeneous approximations. These are constructed from Lie algebra filtrations obtained by assigning vario...
Subjects
free text keywords: Analysis
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