Geometric reduction in optimal control theory with symmetries

Details Geometric reduction in optimal control theory with symmetries Geometric reduction in optimal control theory with symmetries

2002-06-20

arxiv.org/abs/math-ph/0206036v2

Rep. Math. Phys. 52(1) (2003) 89-113.

Physics

Mathematical Physics

24 pages. LaTeX file. The paper has been reorganized. Additional comments have been included in Section 3. The example in Sect

Scientific paper

10.1016/S0034-4877(03)90006-1

A general study of symmetries in optimal control theory is given, starting from the presymplectic description of this kind of system. Then, Noether's theorem, as well as the corresponding reduction procedure (based on the application of the Marsden-Weinstein theorem adapted to the presymplectic case) are stated both in the regular and singular cases, which are previously described.

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