Fractional conservation laws in optimal control theory

Details Fractional conservation laws in optimal control theory Fractional conservation laws in optimal control theory

2007-11-05

arxiv.org/abs/0711.0609v1

Nonlinear Dynamics, Vol. 53, No. 3, 2008, pp. 215--222.

Mathematics

Optimization and Control

The original publication is available at http://www.springerlink.com Nonlinear Dynamics

Scientific paper

10.1007/s11071-007-9309-z

Using the recent formulation of Noether's theorem for the problems of the calculus of variations with fractional derivatives, the Lagrange multiplier technique, and the fractional Euler-Lagrange equations, we prove a Noether-like theorem to the more general context of the fractional optimal control. As a corollary, it follows that in the fractional case the autonomous Hamiltonian does not define anymore a conservation law. Instead, it is proved that the fractional conservation law adds to the Hamiltonian a new term which depends on the fractional-order of differentiation, the generalized momentum, and the fractional derivative of the state variable.

Affiliated with

Also associated with

No associations

Rating

Fractional conservation laws in optimal control theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fractional conservation laws in optimal control theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional conservation laws in optimal control theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-659863