Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem

Details Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem

2007-12-11

arxiv.org/abs/0712.1844v1

Int. Math. Forum, 3, 2008, no. 10, 479--493.

Mathematics

Optimization and Control

16 pages

Scientific paper

The study of fractional variational problems with derivatives in the sense of Caputo is a recent subject, the main results being Agrawal's necessary optimality conditions of Euler-Lagrange and respective transversality conditions. Using Agrawal's Euler-Lagrange equation and the Lagrange multiplier technique, we obtain here a Noether-like theorem for fractional optimal control problems in the sense of Caputo.

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