McCaffrey, D. and Banks, S.P. (1996) A Topological Interpretation of Stability in Linear Optimal Control Problems. Research Report. ACSE Research Report 640 . Department of Automatic Control and Systems Engineering
Abstract
A simple linear optimal control problem is interpreted as that of finding Jacobi fields along a geodesic on a Riemannian manifold. In this context, stability can be interpreted as a Morse index condition on the initial manifold for the geodesic problem. It is indicated how this stability condition van be generalised to non-linear problems via the Maslov index.
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: | Stability, Optimal control, Riccati Equation, Jacobi equation, Morse code. |
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: | 08 Oct 2014 11:56 |
Last Modified: | 03 Nov 2016 02:42 |
Status: | Published |
Publisher: | Department of Automatic Control and Systems Engineering |
Series Name: | ACSE Research Report 640 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:80896 |