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General symmetries in optimal control |
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| Authors: | Manuel de Leó n |
| Affiliation: | Instituto de Matemáticas y Física Fundamental Consejo Superior de Investigaciones Científicas Serrano 123, 28006 Madrid, Spain; Coordinated Science Laboratory University of Illinois at Urbana-Champaign 1308 W Main St, Urbana IL 61801, USA; Instituto de Matemáticas y Física Fundamental Consejo Superior de Investigaciones Científicas Serrano 123, 28006 Madrid, Spain; Departamento de Matemática Aplicada IV Universidad Politécnica de Cataluña Av. V. Balaguer s/n, Vilanova i la Geltrú, 08800, Spain |
| Abstract: | In this paper we study general symmetries for optimal control problems making use of the geometric formulation proposed in [7]. This framework allows us to reduce the number of equations associated with optimal control problems with symmetry and compare the solutions of the original system with the solutions of the reduced one. The reconstruction of the optimal controls starting from the reduced problem is also explored. |
| Keywords: | Optimal control constrained variational problems symmetry reduction and reconstruction |
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