Authors

Satoshi Satoh, Kenji Fujimoto

Abstract

The authors have extended deterministic port-Hamiltonian systems into stochastic dynamical systems which are described by stochastic differential equations written in the sense of Itô, called stochastic port-Hamiltonian systems. This paper introduces variational systems and their adjoint ones for the stochastic port-Hamiltonian systems. We also reveal some of their properties, particularly an extension of a self-adjoint property of deterministic Hamiltonian systems, which plays an important role in learning optimal control for the deterministic Hamiltonian systems.

Citation

  • Journal: 49th IEEE Conference on Decision and Control (CDC)
  • Year: 2010
  • Volume:
  • Issue:
  • Pages: 1423–1428
  • Publisher: IEEE
  • DOI: 10.1109/cdc.2010.5718033

BibTeX

@inproceedings{Satoh_2010,
  title={{A symmetric structure of variational and adjoint systems of stochastic Hamiltonian systems}},
  DOI={10.1109/cdc.2010.5718033},
  booktitle={{49th IEEE Conference on Decision and Control (CDC)}},
  publisher={IEEE},
  author={Satoh, Satoshi and Fujimoto, Kenji},
  year={2010},
  pages={1423--1428}
}

Download the bib file

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