Necessary Condition for a Strong Relative Minimum for Singular Optimal Control

D. G. Hull ()
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D. G. Hull: University of Texas at Austin

Journal of Optimization Theory and Applications, 2008, vol. 137, issue 1, No 13, 157-169

Abstract: 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.

Keywords: Optimal control theory; Weierstrass condition; Singular optimal control; Strong necessary condition; Generalized Legendre-Clebsch condition (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-007-9326-6

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