Riemannian Comparison and Length of Existence of Optimal Controls.
McCaffrey, D. and Banks, S.P.
(1997)
Riemannian Comparison and Length of Existence of Optimal Controls.
Research Report.
ACSE Research Report 671
.
Department of Automatic Control and Systems Engineering
Abstract
In Riemannian geometry, there are various comparison theorems which estimate the distance to conjugate points on manifolds and hence the maximum length of an energy minimising external. We apply this to optimal control problems to estimate the maximum length of existence of an optimal trajectory where energy is measured by the cost function. We show this can be done for control systems where the control part of the cost function can be interpreted as a Riemann metric and the unforced dynamics satisfy an integrability condition.
Metadata
Item Type:
Monograph
Authors/Creators:
McCaffrey, D.
Banks, S.P.
Copyright, Publisher and Additional Information:
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