What to read about MOR?

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- Theses:

Very good reference for linear MOR, providing insights into systems and control theory,
Jing Rebecca Li, "Model Reduction of Large Linear Systems via Low Rank System Gramians," Massachusetts Institute of Technology, 2000.

A fundamental paper on Krylov subspace-based MOR:
Eric James Grimme, "Krylov Projection Methods for Model Reduction,"
University of Illinois at Urbana-Champaign, 1997.

Highly insightful thesis on projection-based linear MOR, fundamental paper on AISIAD methods:
Yunkai Zhou, "Numerical Methods for Large Scale Matrix Equations with Applications in LTI System Model Reduction," Rice University, 2002

A fundamental paper on Trajectory-Piecewize linear MOR (nonlinear):
Michal Rewienski, "A trajectory Piecewize-Linear Approach to Model Order Reduction of Nonlinear Dynamical Systems",
Massachusetts Institute of Technology, 2003

 

- Books:

"Approximation of large-scale dynamical systems", Thanos Antoulas, SIAM Advances in Design and Control (not published yet)

Kemin Zhou, John Doyle, Keith Glover "Robust and optimal control", Prentice Hall, 1995

- Papers:
  1. A. Odabasioglu, M. Celik, L. T. Pileggi, "PRIMA: passive reduced-order interconnect macromodeling algorithm,"
    IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, Vol. 17, no. 8, pp. 645-654, Aug. 1998.
  2. J. R. Phillips, "Automated extraction of nonlinear circuit macromodels,'' in proceedings of the Custom Integrated Circuit Conference, pp. 451-454, 2000.
  3. P. Feldmann, R. W. Freund, "Efficient linear circuit analysis by Pade approximation via the Lanczos process,''
    IEEE Trans. Computer-Aided Design, vol. 14, pp. 639-649, 1995.
  4. Y. Chen and J. White, "A Quadratic Method for Nonlinear Model Order Reduction,"
    International Conference on Modeling and Simulation of Microsystems, Semiconductors, Sensors and Actuators, San Diego, March 2000.
  5. Z. Bai, "Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems,"
    Applied Numerical Mathematics, Vol. 43, pp. 9-44, May 2002.
  6. Michal Rewienski, Jacob White, "A Trajectory Piecewise-Linear Approach to Model Order Reduction and Fast Simulation of Nonlinear Circuits and Micromachined Devices," IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, v.22, no 2, pp. 155-70, 2003

 



 
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