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- W1523492886 abstract "In this paper, a new proof is given for Jacobi's no-conjugate-point necessary condition. For a certain class of linear-quadratic optimal control problems it is shown that the existence of a conjugate point in the interior of the extremal implies the exitence of control perturbations that lead to a reduction in cost. In a well-known way, through the concept of the Acessory Minimum Problem, this results in a no-conjugate-point condition for general optimal control problems. Important ideas used in this paper are adopted from Brakwell & Ho [1]. In contrast to earlier results, the new proof also applies if the coefficient functions of time associated with the Accessory Minimum Problem have any finite number of discontinuities." @default.
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- W1523492886 date "1991-06-01" @default.
- W1523492886 modified "2023-09-25" @default.
- W1523492886 title "A New Proof of the Jacobi Necessary Condition" @default.
- W1523492886 cites W2070044386 @default.
- W1523492886 doi "https://doi.org/10.23919/acc.1991.4791800" @default.
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