Discussion on: “Passivity and Structure Preserving Order Reduction of Linear Port-Hamiltonian Systems Using Krylov Subspaces”

Authors

Rostyslav V. Polyuga

Citation

• Journal: European Journal of Control
• Year: 2010
• Volume: 16
• Issue: 4
• Pages: 407–409
• Publisher: Elsevier BV
• DOI: 10.1016/s0947-3580(10)70672-5

BibTeX

@article{Polyuga_2010,
  title={{Discussion on: “Passivity and Structure Preserving Order Reduction of Linear Port-Hamiltonian Systems Using Krylov Subspaces”}},
  volume={16},
  ISSN={0947-3580},
  DOI={10.1016/s0947-3580(10)70672-5},
  number={4},
  journal={European Journal of Control},
  publisher={Elsevier BV},
  author={Polyuga, Rostyslav V.},
  year={2010},
  pages={407--409}
}

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References

• Antoulas, Approximation of Large-Scale Dynamical Systems. SIAM, Philadelphia (2005)
• Arnoldi, W. E. The principle of minimized iterations in the solution of the matrix eigenvalue problem. Quarterly of Applied Mathematics vol. 9 17–29 (1951) – 10.1090/qam/42792
• (2009)
• Grimme, Krylov Projection Methods for Model Reduction. PhD thesis, Coordinated Science Laboratory. University of Illinois at Urbana-Champaign (1997)
• Gugercin, Interpolation-basedH2 model reduction for port-Hamiltonian systems (2009)
• Hartmann, (2009)
• Putting energy back in control. IEEE Control Systems vol. 21 18–33 (2001) – 10.1109/37.915398
• Polyuga, R. V. & van der Schaft, A. Structure preserving model reduction of port-Hamiltonian systems by moment matching at infinity. Automatica vol. 46 665–672 (2010) – 10.1016/j.automatica.2010.01.018
• Schilders, W. Introduction to Model Order Reduction. Mathematics in Industry 3–32 (2008) doi:10.1007/978-3-540-78841-6_1 – 10.1007/978-3-540-78841-6_1
• van der Schaft, A. Nonlinear H ∞ Control. Communications and Control Engineering 163–192 (2000) doi:10.1007/978-1-4471-0507-7_7 – 10.1007/978-1-4471-0507-7_7
• van der Schaft, A. J. & Polyuga, R. V. Structure-preserving model reduction of complex physical systems. Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference 4322–4327 (2009) doi:10.1109/cdc.2009.5399669 – 10.1109/cdc.2009.5399669
• Willems, J. C. Dissipative dynamical systems part I: General theory. Archive for Rational Mechanics and Analysis vol. 45 321–351 (1972) – 10.1007/bf00276493