A Topological Interpretation of Stability in Linear Optimal Control Problems
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
Authors/Creators:
McCaffrey, D.
Banks, S.P.
Copyright, Publisher and Additional Information:
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