Contrasting Two Transformation-based Methods for Obtaining Absolute Extrema |
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| Authors: | D. F. M. Torres G. Leitmann |
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| Affiliation: | (1) Department of Mathematics, University of Aveiro, Aveiro, Portugal;(2) Graduate School, College of Engineering, University of California, Berkeley, CA, USA |
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| Abstract: | In this note, we contrast two transformation-based methods to deduce absolute extrema and the corresponding extremizers. Unlike variation-based methods, the transformation-based methods of Carlson and Leitmann and the recent one of Silva and Torres are direct in that they permit obtaining solutions by inspection. |
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| Keywords: | Optimal control Direct methods Calculus of variations Absolute extrema Invariance Symmetry |
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