Authors

S. Satoh, K. Fujimoto

Abstract

The authors have introduced stochastic port-Hamiltonian systems and have clarified some of their properties. Stochastic port-Hamiltonian systems are extension of deterministic port-Hamiltonian systems, which are used to express various deterministic passive systems. However, since only time-invariant case has been considered in our previous results, the aim of this paper is to extend them to time-varying case. Finally, we propose a stabilization method based on passivity and the stochastic generalized canonical transformation, which is a pair of coordinate and feedback transformations preserving the stochastic Hamiltonian structure.

Keywords

stochastic Hamiltonian systems; passive stochastic systems; stochastic stability; nonlinear stochastic control; time-varying systems

Citation

  • Journal: IFAC Proceedings Volumes
  • Year: 2010
  • Volume: 43
  • Issue: 14
  • Pages: 611–616
  • Publisher: Elsevier BV
  • DOI: 10.3182/20100901-3-it-2016.00057
  • Note: 8th IFAC Symposium on Nonlinear Control Systems

BibTeX

@article{Satoh_2010,
  title={{Stabilization of Time-varying Stochastic Port-Hamiltonian Systems Based on Stochastic Passivity}},
  volume={43},
  ISSN={1474-6670},
  DOI={10.3182/20100901-3-it-2016.00057},
  number={14},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Satoh, S. and Fujimoto, K.},
  year={2010},
  pages={611--616}
}

Download the bib file

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