Nonautonomous Systems, Lie Algebras and Lyapunov Transformations
Banks, S.P.
(2000)
Nonautonomous Systems, Lie Algebras and Lyapunov Transformations.
Research Report.
ACSE Research Report 767
.
Department of Automatic Control and Systems Engineering
Abstract
An explicit form for the solution of a nonautonomous linear system of differential equations is given by using Duhamels's principle and a generalised Campbell-Haudorff formula. This is applied in the case of a nilpotent generating Lie algebra to Lyapunov transformations.
Metadata
Item Type:
Monograph
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)