Numerically stable algorithm for pole assignment of linear single-input systems

Petko Hr. Petkov; Nicolai D. Christov; Michail M. Konstantinov

Kybernetika (1986)

  • Volume: 22, Issue: 4, page 349-367
  • ISSN: 0023-5954

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Petkov, Petko Hr., Christov, Nicolai D., and Konstantinov, Michail M.. "Numerically stable algorithm for pole assignment of linear single-input systems." Kybernetika 22.4 (1986): 349-367. <http://eudml.org/doc/27521>.

@article{Petkov1986,
author = {Petkov, Petko Hr., Christov, Nicolai D., Konstantinov, Michail M.},
journal = {Kybernetika},
keywords = {algorithm; pole assignment; linear single-input systems},
language = {eng},
number = {4},
pages = {349-367},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Numerically stable algorithm for pole assignment of linear single-input systems},
url = {http://eudml.org/doc/27521},
volume = {22},
year = {1986},
}

TY - JOUR
AU - Petkov, Petko Hr.
AU - Christov, Nicolai D.
AU - Konstantinov, Michail M.
TI - Numerically stable algorithm for pole assignment of linear single-input systems
JO - Kybernetika
PY - 1986
PB - Institute of Information Theory and Automation AS CR
VL - 22
IS - 4
SP - 349
EP - 367
LA - eng
KW - algorithm; pole assignment; linear single-input systems
UR - http://eudml.org/doc/27521
ER -

References

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  1. A. J. Laub, Survey of computational methods in control theory, In: Electric Power Problems: The Mathematical Challenge (A. M. Erisman et al., eds.), SIAM, Philadelphia 1980, pp. 231-260. (1980) Zbl0461.93026MR0606420
  2. J. H. Wilkinson, The Algebraic Eigenvalue Problem, Clarendon Press, Oxford 1965. (1965) Zbl0258.65037MR0184422
  3. M. M. Konstantinov P. Hr. Petkov, N. D. Christov, A Schur approach to pole assignment problem, Preprints IFAC 8th Congress, Kyoto, Aug. 1981, vol. 11, pp. 1 - 6. (1981) MR0686015
  4. P. Hr. Petkov M. M. Konstantinov, N. D. Christov, Pole assignment by orthogonal transformations, System Sci. 8 (1982), 85-94; also 7th Internat. Conf. Syst. Sci., Wroclaw, Sept. 1981, Paper C. 77. (1982) MR0773659
  5. G. S. Miminis, C. C. Paige, An algorithm for pole assignment of time invariant linear systems, Internat. J. Control 35 (1982), 341-354. (1982) Zbl0478.93022MR0663644
  6. P. Hr. Petkov N. D. Christov, M. M. Konstantinov, A computational algorithm for pole assignment of linear single-input systems, IEEE Trans. Automat. Control AC-29 (1984), 1045-1048. (1984) MR0764705
  7. W. M. Wonham, Linear Multivariable Control: A Geometric Approach, Springer-Verlag, New York 1979. (1979) Zbl0424.93001MR0569358
  8. M. M. Konstantinov P. Hr. Petkov, N. D. Christov, Synthesis of linear multivariable systems with prescribed equivalent form, System Sci. 5 (1979), 381 - 394; also 5th Internat. Conf. Syst. Sci., Wroclaw, Sept. 1978, Paper C 46. (1979) MR0572039
  9. A. Varga, Numerically reliable algorithm to test controllability, Electron. Lett. 15 (1979), 452-453. (1979) MR0539189
  10. M. M. Konstantinov P. Hr. Petkov, N. D. Christov, Synthesis of linear system with desired equivalent form, J. Comp. Appl. Math. 6 (1980), 27-35. (1980) MR0568600
  11. M. M. Konstantinov P. Hr. Petkov, N. D. Christov, Orthogonal invariants and canonical forms for linear controllable systems, Preprints IFAC 8th Congress, Kyoto, Aug. 1981, vol. 1, pp. 50-55. (1981) MR0735802
  12. M. M. Konstantinov P. Hr. Petkov, N. D. Christov, Invariants and canonical forms for linear multivariable systems under the action of orthogonal transformation groups, Kybernetika 17 (1981), 413-424. (1981) MR0648213
  13. G. W. Stewart, Introduction to Matrix Computations, Academic Press, New York 1973. (1973) Zbl0302.65021MR0458818
  14. J. J. Dongarra J. R. Bunch C. B. Moler, G. W. Stewart, LINPACK User's Guide, SIAM, Philadelphia 1979. (1979) 

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