Model Reduction of Dissipative Systems by Balanced Truncation

@inproceedings{Minh2008ModelRO,
  title={Model Reduction of Dissipative Systems by Balanced Truncation},
  author={Ha Binh Minh and Harry L. Trentelman and Paolo Rapisarda},
  year={2008}
}
Given a dissipative system behavior with general supply rate, say a Σ-dissipative system, we propose a balanced truncation method to obtain a reduced-order system behavior which is again Σ-dissipative. This methods applies to driving variable representations of systems. A one-step error bound formula is discussed. 

Topics from this paper.

References

Publications referenced by this paper.
SHOWING 1-10 OF 13 REFERENCES

Trentelman, “Model Reduction by Retention of Stationary Trajectories

  • H. B. Minh, P. Rapisarda, H.L
  • Proceeding of the 17th International Symposium on…
  • 2006

Trentelman, “Synthesis of dissipative systems using quadratic differential forms - part I

  • H.L.J.C. Willems
  • IEEE Transactions on Automatic Control,
  • 2002

Jonckheere , “ A contraction mapping preserving balanced reduction scheme and its infinity norm error bounds ”

  • Philippe C. Opdenacker, A. Edmond
  • IEEE Trans . Circuits and Systems
  • 1996

Similar Papers

Loading similar papers…