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
Authors/Creators:
Banks, S.P.
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