International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Properties of a Generalized Impulse Response Gramian with Application to Model Reduction

  • Choo, Younseok (School of Electronic, Electrical and Computer Engineering, Hongik University) ;
  • Choi, Jaeho (School of Electrical and Electronic Engineering, Chungbuk National University)
  • Published : 2004.12.01
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Abstract

In this paper we investigate the properties of a generalized impulse response Gramian. The recursive relationship satisfied by the family of Gramians is established. It is shown that the generalized impulse response Gramian contains information on the characteristic polynomial of a linear time-invariant continuous system. The results are applied to model reduction problem.

Keywords

References

  1. International Journal of Control v.12 Identification of linear systems through a Gramian technique V. K. Jain;R. D. Gupta https://doi.org/10.1080/00207177008931858
  2. IEEE Trans. on Circuits and System Ⅰ v.41 no.3 On the properties of Gram matrix V. Sreeram;P. Agathoklis https://doi.org/10.1109/81.273922
  3. Electronics Letters v.27 Characteristic impulse-response Gramian V. Sreeram;F. K. Yap https://doi.org/10.1049/el:19910805
  4. Electronics Letters v.27 Note on the Hankel matrix V. Sreeram;A. Y. Zomaya https://doi.org/10.1049/el:19910229
  5. Electronics Letters v.27 Impulse-response Gramian for discrete systems V. Sreeram;D. Berinson;Y. H. Leung https://doi.org/10.1049/el:19911052
  6. IEEE Trans. on Automatic Control v.AC-45 no.3 A new discrete impulse response Gramian and its application to model reduction S. Azou;P. Brehonnet;P. Vilbe;L. C. Calvez
  7. International Journal of Systems Science v.21 Identification and model reduction from impulse response data P. Agathoklis;V. Sreeram https://doi.org/10.1080/00207729008910475
  8. International Journal of Control v.53 Model reduction of linear discrete systems via weighted impulse response Gramian V. Sreeram;P. Agathoklis https://doi.org/10.1080/00207179108953613
  9. IEEE Trans. on Automatic Control v.AC-38 no.10 On the computation of the Gram matrix in time domain and its application V. Sreeram;P. Agathoklis
  10. IEEE Trans. on Automatic Control v.AC-40 no.5 Model reduction by matching Markov parameters, time moments, and impulse-response energies W. Krajewski;A. Lepschy;U. Viaro
  11. IEE Proc. D v.142 Model reduction via parameter matching using a Gramian technique C. Levit;V. Sreeram https://doi.org/10.1049/ip-com:19951913
  12. Linear Systems T. Kailath