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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.
Keywords: Optimal control
Calculus of variations
Computer algebra
Noether's theorem
Conservation laws
Issue Date: 2005
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.
ISSN: 1609-9389
Publisher Version: 5(4)
Appears in Collections:IC - Artigos em Revistas Não Indexados ao ISI/Scopus

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