Utilize este identificador para referenciar este registo: http://hdl.handle.net/10198/1956
Título: Scientific computation of conservation laws in the calculus of variations and optimal control
Autor: Gouveia, Paulo D.F.
Torres, Delfim F.M.
Palavras-chave: Optimal control
Calculus of variations
Computer algebra
Noether’s theorem
Conservation laws
Data: 2005
Editora: Universidade de Aveiro
Citação: Gouveia, Paulo D.F.; Torres, Delfim F.M. (2005) - Scientific computation of conservation laws in the calculus of variations and optimal control. Cadernos de Matemática. CM05/I-24.
Relatório da Série N.º: CM05/I-24;
Resumo: We present analytic 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, and which was extended recently to the more general context of optimal control. We show how a Computer Algebra System can be very helpful in finding 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 given.
URI: http://hdl.handle.net/10198/1956
Aparece nas colecções:IC - Relatórios Técnicos/Científicos

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