Necessary Condition for a Strong Relative Minimum for Singular Optimal Control |
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| Authors: | D. G. Hull |
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| Affiliation: | (1) Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, TX, USA |
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| Abstract: | A necessary condition is developed for a strong relative minimum for a first-order singular optimal control. It is shown that the strong condition is identical with the existing weak condition, namely, the generalized Legendre-Clebsch condition. It is conjectured that the strong condition for a second-order singular control will be the same as the corresponding weak condition. |
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| Keywords: | Optimal control theory Weierstrass condition Singular optimal control Strong necessary condition Generalized Legendre-Clebsch condition |
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