On the Noether theorem for optimal control
We obtain a generalization of E. Noether's theorem for the optimal control problems. The generalization involves a one-parameter family of smooth maps which may depend also on the control and a Lagrangian which is invariant up to an addition of an exact differential. © 2002 EUCA.
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| Format: | article |
| Language: | eng |
| Published: |
1000
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| Online Access: | http://hdl.handle.net/10773/4103 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/4103 |
| Summary: | We obtain a generalization of E. Noether's theorem for the optimal control problems. The generalization involves a one-parameter family of smooth maps which may depend also on the control and a Lagrangian which is invariant up to an addition of an exact differential. © 2002 EUCA. |
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