A relationship between a Hankel matrix of Markov parameters and the associated matrix polynomial with some applications

Biswa Nath Datta

Czechoslovak Mathematical Journal (1980)

  • Volume: 30, Issue: 1, page 71-79
  • ISSN: 0011-4642

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Datta, Biswa Nath. "A relationship between a Hankel matrix of Markov parameters and the associated matrix polynomial with some applications." Czechoslovak Mathematical Journal 30.1 (1980): 71-79. <http://eudml.org/doc/13177>.

@article{Datta1980,
author = {Datta, Biswa Nath},
journal = {Czechoslovak Mathematical Journal},
keywords = {Hankel matrix; Markov parameters; matrix polynomial},
language = {eng},
number = {1},
pages = {71-79},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A relationship between a Hankel matrix of Markov parameters and the associated matrix polynomial with some applications},
url = {http://eudml.org/doc/13177},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Datta, Biswa Nath
TI - A relationship between a Hankel matrix of Markov parameters and the associated matrix polynomial with some applications
JO - Czechoslovak Mathematical Journal
PY - 1980
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 1
SP - 71
EP - 79
LA - eng
KW - Hankel matrix; Markov parameters; matrix polynomial
UR - http://eudml.org/doc/13177
ER -

References

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  1. S. Barnett, A new formulation of the Liénard-Chipart stability criterion, Proc. Camb. Phil. Soc. (1971), 269-274. (1971) Zbl0224.15019MR0292548
  2. S. Barnett, 10.1109/TAC.1973.1100216, IEEE Trans. Automat. Control, AC-18 (1973), 1-10. (1973) Zbl0271.93012MR0452886DOI10.1109/TAC.1973.1100216
  3. B. N. Datta, Quadratic forms, matrix equations and the matrix eigenvalue problem, Ph. D. Dissertation, University of Ottawa, March, 1972. (1972) 
  4. B. N. Datta, Application of Hankel matrix to the root location problem, IEEE Trans. Auto-Automat. Control, AC-21 (1976), 210-212. (1976) Zbl0344.15012MR0414592
  5. B. N. Datta, An algorithm for evaluating a matrix polynomial and its applications, (in preparation). 
  6. B. N. Datta, 10.1016/0022-247X(79)90115-X, J. Math. Anal. Appl. 68 (1979), 276--290. (1979) Zbl0421.65035MR0531438DOI10.1016/0022-247X(79)90115-X
  7. B. N. Datta, 10.1016/0024-3795(78)90074-5, 22 (1978), 235-246. (1978) MR0510812DOI10.1016/0024-3795(78)90074-5
  8. F. R. Gantmacher, The Theory of Matrices, Vol. II, Chelsea, New York, 1959. (1959) Zbl0085.01001

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