Banks, S.P. (1988) Global Linear Representations of Nonlinear Systems and the Adjoint Map. Research Report. Acse Report 347 . Dept of Automatic Control and System Engineering. University of Sheffield
Abstract
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.
Metadata
Item Type: | Monograph |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances. |
Keywords: | Global Linearization, Adjoint Representation, Exponential Map |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) > ACSE Research Reports |
Depositing User: | MRS ALISON THERESA BARNETT |
Date Deposited: | 13 Mar 2014 10:52 |
Last Modified: | 01 Nov 2016 21:04 |
Status: | Published |
Publisher: | Dept of Automatic Control and System Engineering. University of Sheffield |
Series Name: | Acse Report 347 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:78136 |