A new proof is given for Jacobi's necessary condition. It is shown that the existence of a conjugate point in the interior of an extremal implies the existence of control perturbations which lead to a reduction in cost. The present analysis is restricted to linear-quadratic optimal control problems.
New proof of the Jacobi necessary condition
1993-12-01
Miscellaneous
No indication
English
New Proof of the Jacobi Necessary Condition
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