The Lie Algebra of a Nonlinear Dynamical System and its Application to Control
Banks, S.P.
(1999)
The Lie Algebra of a Nonlinear Dynamical System and its Application to Control.
Research Report.
ACSE Research Report 744
.
Department of Automatic Control and Systems Engineering
Abstract
Using a recently introduced Lie algebra associated with a nonlinear system and control theory are obtained. In particular, we show that the solutions carry the structure of the associated Lie group. A number of stability and boundedness results are given and a generalisation of classical modal control is developed.
Metadata
Authors/Creators:
Banks, S.P.
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.
CORE (COnnecting REpositories)
CORE (COnnecting REpositories)