publication . Book . 1988

Global Linear Representations of Nonlinear Systems and the Adjoint Map

Banks, S.P.;
Open Access English
  • Published: 01 Dec 1988
  • Publisher: Dept of Automatic Control and System Engineering. University of Sheffield
  • Country: United Kingdom
In this paper we shall study the global linearization of nonlinear systems on a manifold by two methods. The first consists of an expansion of the vector field in the space of square integrable vector fields. In the second method we use the adjoint representation of the Lie algebra vector fields to obtain an infinite-dimensional matrix representation of the system. A connection between the two approaches will be developed.
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