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http://hdl.handle.net/10773/4076| Title: | Leitmann's direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales |
| Author: | Malinowska, A.B. Torres, D.F.M. |
| Keywords: | Calculus of variations Leitmann's direct method Optimal control Time scales |
| Issue Date: | 2010 |
| Publisher: | Elsevier |
| Abstract: | The fundamental problem of the calculus of variations on time scales concerns the minimization of a delta-integral over all trajectories satisfying given boundary conditions. This includes the discrete-time, the quantum, and the continuous/classical calculus of variations as particular cases. In this note we follow Leitmann's direct method to give explicit solutions for some concrete optimal control problems on an arbitrary time scale. © 2010 Elsevier Inc. All rights reserved. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/4076 |
| ISSN: | 0096-3003 |
| Appears in Collections: | DMat - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [183]AMC_14623_LeitmannMethodTimeScales.pdf | 167.19 kB | Adobe PDF |  |
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