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Gauge Symmetries and Noether Currents in Optimal Control | | Delfim F. M. Torres
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11 Dec 2002 | | Journal: | Appl. Math. E-Notes 3 (2003), 49--57 (electronic). | | Subject: | Optimization and Control MSC-class: 49K15; 49S05 | math.OC | | Abstract: | We extend the second Noether theorem to optimal control problems which are invariant under symmetries depending upon k arbitrary functions of the independent variable and their derivatives up to some order m. As far as we consider a semi-invariance notion, and the transformation group may also depend on the control variables, the result is new even in the classical context of the calculus of variations. | | Source: | arXiv, math.OC/0301116 | | Services: | Forum | Review | PDF | Favorites | |
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