Publicação
Noether's theorem for higher-order variational problems of Herglotz type
| Resumo: | 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. |
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| Autores principais: | Santos, Simão P. S. |
| Outros Autores: | Martins, Natália; Torres, Delfim F. M. |
| Assunto: | Herglotz’s problems Higher-order calculus of variations Optimal control Euler– Lagrange equations invariance DuBois–Reymond condition Noether’s theorem |
| Ano: | 2015 |
| País: | Portugal |
| Tipo de documento: | documento de conferência |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Aveiro |
| Idioma: | inglês |
| Origem: | RIA - Repositório Institucional da Universidade de Aveiro |
| Resumo: | 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. |
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