Authors

H. Zwart, Y. Le Gorrec, B. Maschke

Abstract

In this article we introduce a technique that derives from the existence and uniqueness of solutions to a simple hyperbolic partial differential equation (p.d.e.) the existence and uniqueness of solutions to hyperbolic and parabolic p.d.e.’s. Among others, we show that starting with an impedance passive system associated to the undamped wave equation, we can obtain an impedance passive system associated to the heat conduction equation.

Keywords

Infinite-dimensional systems theory; Partial differential equation; Impedance passive

Citation

BibTeX

@article{Zwart_2016,
  title={{Building systems from simple hyperbolic ones}},
  volume={91},
  ISSN={0167-6911},
  DOI={10.1016/j.sysconle.2016.02.002},
  journal={Systems & Control Letters},
  publisher={Elsevier BV},
  author={Zwart, H. and Le Gorrec, Y. and Maschke, B.},
  year={2016},
  pages={1--6}
}

Download the bib file

References

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