English

On the Constancy of the Pontryagin Hamiltonian for Autonomous Problems

Optimization and Control 2007-05-23 v1

Abstract

We provide a new, simpler, and more direct proof of the well known fact that for autonomous optimal control problems the Pontryagin extremals evolve on a level surface of the respective Pontryagin Hamiltonian.

Keywords

Cite

@article{arxiv.math/0308172,
  title  = {On the Constancy of the Pontryagin Hamiltonian for Autonomous Problems},
  author = {Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:math/0308172},
  year   = {2007}
}