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|Title:||Automatic computation of conservation laws in the calculus of variations and optimal control|
|Authors:||Gouveia, Paulo D.F.|
Torres, Delfim F.M.
Calculus of variations
|Citation:||Gouveia, Paulo D.F.; Torres, Delfim F.M. (2005) - Automatic computation of conservation laws in the calculus of variations and optimal control. Computational Methods in Applied Mathematics. ISSN 1609-9389. 5:4 p. 387-409|
|Abstract:||We present analytical computational tools that permit us to identify, in an automatic way, conservation laws in optimal control. The central result we use is the famous Noether's theorem, a classical theory developed by Emmy Noether in 1918, in the context of the calculus of variations and mathematical physics, which was extended recently to the more general context of optimal control. We show how a Computer Algebra System can be very helpful in ¯nding the symmetries and corresponding conservation laws in optimal control theory, thus making useful in practice the theoretical results recently obtained in the literature. A Maple implementation is provided and several illustrative examples are given.|
|Appears in Collections:||IC - Artigos em Revistas Não Indexados ao ISI/Scopus|
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