Pontryagin's principle for problems with isoperimetric constraints and problems with inequality terminal constraints: Comment |
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Authors: | B. A. Forster N. V. Long |
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Affiliation: | (1) Department of Economics, University of Guelph, Guelph, Ontario, Canada;(2) Department of Economics, Australian National University, Canberra, Australia |
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Abstract: | Schmitendorf's formulation of the terminal conditions is shown to be a special case of Hestenes' formulation, despite his claim to the contrary. Imaginative use of Hestenes' control parameters enables the application of Hestenes' theorem to a wide variety of problems. Schmitendorf's rank condition on the terminal constraints can be dispensed with.The authors acknowledge with thanks comments by N. Vousden and W. Schmitendorf. |
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Keywords: | Isoperimetric problems control parameters maximum principle terminal constraints control theory |
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