A geometric approach for testing regularity of multi-dimensional polynomial matrices and a pencil of n -matrices

F. Acar Savaci; I. Cem Göknar

Kybernetika (1991)

  • Volume: 27, Issue: 3, page 271-279
  • ISSN: 0023-5954

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Savaci, F. Acar, and Göknar, I. Cem. "A geometric approach for testing regularity of multi-dimensional polynomial matrices and a pencil of $n$-matrices." Kybernetika 27.3 (1991): 271-279. <http://eudml.org/doc/28959>.

@article{Savaci1991,
author = {Savaci, F. Acar, Göknar, I. Cem},
journal = {Kybernetika},
keywords = {column regularity; -pencil},
language = {eng},
number = {3},
pages = {271-279},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A geometric approach for testing regularity of multi-dimensional polynomial matrices and a pencil of $n$-matrices},
url = {http://eudml.org/doc/28959},
volume = {27},
year = {1991},
}

TY - JOUR
AU - Savaci, F. Acar
AU - Göknar, I. Cem
TI - A geometric approach for testing regularity of multi-dimensional polynomial matrices and a pencil of $n$-matrices
JO - Kybernetika
PY - 1991
PB - Institute of Information Theory and Automation AS CR
VL - 27
IS - 3
SP - 271
EP - 279
LA - eng
KW - column regularity; -pencil
UR - http://eudml.org/doc/28959
ER -

References

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  1. F. A. Savaci, I. C Göknar, Fault analysis and parameter identification in linear circuits in terms of topological matrices, Proc. IEEE Internat. Symp. on Circuits and Systems 1988, 937-941. (1988) 
  2. F. A. Savaci, Fault Diagnosis in Linear Circuits; A Parameter Identification Approach, Ph. D. Dissertation, Faculty of Electrical-Electronics Engineering, Technical University of Istanbul 1988. (1988) 
  3. Ö. Hüseyin, B. Özgüler, Inversion of multidimensional polyncmial matrices, AEU (1979), Band 33, 457-462. (1979) 
  4. P. Bernhard, On singular implicit linear dynamical systems, SIAM J. Ccntrol Optim. 20 (1982), 612-633. (1982) Zbl0491.93004MR0667644
  5. D. G. Luenberger, Time-invariant description systems, Autcmatica 14 (1978), 473 - 470. (1978) 
  6. E. L. Yip, R. Sinovec, Solvability, controllability and observability of continuous descriptor system, IEEE Trans. Automat. Control AC-26 (1981), 139-147. (1981) MR0609255
  7. P. S. Reddy D. R. Rami Reddy, M. N. S. Swamy, Proof of a modified form of Shanks' conjecture on the stability of 2-D planar least square inverse polynomials and its implications, IEEE Trans. Circuits and Systems CAS-31 (1984), 1009-1014. (1984) MR0764271
  8. F. A. Savaci, I. C Göknar, Multivariable polynomial interpolation method for testing column regularity of n -pencil, To be summitted for publication. 

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