Abstract
Theorem 2.1 of Caputo (Ref. 1) linking the optimal solution functions and optimal value functions of reciprocal pairs of isoperimetric control problems is correct, but requires stronger assumptions than those used explicitly to establish its veracity. One such set of stronger assumptions is provided in this note.
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Caputo, M.R. Economic Characterization of Reciprocal Isoperimetric Control Problems Revisited. Journal of Optimization Theory and Applications 101, 723–730 (1999). https://doi.org/10.1023/A:1021750406667
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DOI: https://doi.org/10.1023/A:1021750406667