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http://hdl.handle.net/10773/16618| Title: | Noether's theorem for higher-order variational problems of Herglotz type |
| Author: | Santos, Simão P. S. Martins, Natália Torres, Delfim F. M. |
| Keywords: | Herglotz’s problems Higher-order calculus of variations Optimal control Euler– Lagrange equations invariance DuBois–Reymond condition Noether’s theorem |
| Issue Date: | Nov-2015 |
| Publisher: | American Institute of Mathematical Sciences |
| Abstract: | We approach higher-order variational problems of Herglotz type from an optimal control point of view. Using optimal control theory, we derive a generalized Euler–Lagrange equation, transversality conditions, DuBois–Reymond necessary optimality condition and Noether’s theorem for Herglotz’s type higher-order variational problems, valid for piecewise smooth functions. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/16618 |
| DOI: | 10.3934/proc.2015.990 |
| Appears in Collections: | CIDMA - Comunicações SCG - Comunicações |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| NOETHER’S THEOREM FOR HIGHER-ORDER VARIATIONAL PROBLEMS OF HERGLOTZ TYPE.pdf | Main article | 328.5 kB | Adobe PDF | View/Open |
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