MIMO-DESCRIPTOR SYSTEMS MODEL REDUCTION

A.B.H. Adamou-Mitiche,∗ L. Mitiche,∗ and M. Haddadi∗

References

  1. [1] L. Dai, Singular control system, Lecture Notes in Control and Information Sciences (Heidelberg, Berlin: Springer Verlag, 1989).
  2. [2] K. Perev & B. Shafai, Balanced realization and model reduction of singular systems, International Journal on Systems Sciences, 25 (6), 1994, 1039–1052. doi:10.1080/00207729408929014
  3. [3] W.Q. Liu & V. Sreeram, Model reduction of singular systems, Proc. 39th IEEE Conf. on Decision and Control, 2000, 2373– 2378.
  4. [4] T. Stykel, Analysis and numerical solution of generalized Lyapunov equations, doctoral dissertation, Mathematik und Naturwissenschaften, Universitat Berlin, 2002.
  5. [5] J.W. Demmel & B. Kagstrom, The generalized Schur decomposition of an arbitrary pencil A − λB: Robust software with error bounds and applications. Part I: Theory and algorithms, ACM Trans. Math. Soft., 19 (2), 1993, 160–174. 231 doi:10.1145/152613.152615
  6. [6] A.B.H. Adamou-Mitiche & L. Mitiche, Comparative study of model reduction schemes—application to the digital filters synthesis, Proc. of the IEEE Sixth Int. Symp. on Sig. Proc. and its Appl., ISSPA, 2001, 675–678. doi:10.1109/ISSPA.2001.950236
  7. [7] K. Glover, All optimal Hankel approximations of linear multivariable systems and their L∞-errors bounds, International Journal of Control, 39 (6), 1984, 1115–1193. doi:10.1080/00207178408933239
  8. [8] D. Kreßner, V. Mehrmann, & T. Penzl, CTDSX—a collection of benchmark examples for state-space realizations of continuoustime dynamical systems, SLICOT Working Note 1998-9, November 1998.
  9. [9] P. Benner, V. Mehrmann, V. Sima, S. Van Huffel, & A. Varga, SLICOT—A subroutine library in systems and control theory, Appl. Comput. Cont. Sig. Circuits, 1, 1999, 499–539.

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