Stochastic multivariable tracking: A polynomial equation approach

Michael Šebek

Kybernetika (1983)

  • Volume: 19, Issue: 6, page 453-459
  • ISSN: 0023-5954

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Šebek, Michael. "Stochastic multivariable tracking: A polynomial equation approach." Kybernetika 19.6 (1983): 453-459. <http://eudml.org/doc/27858>.

@article{Šebek1983,
author = {Šebek, Michael},
journal = {Kybernetika},
keywords = {tracking systems; polynomial matrices; spectral factorization; feedback part; feedforward part},
language = {eng},
number = {6},
pages = {453-459},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Stochastic multivariable tracking: A polynomial equation approach},
url = {http://eudml.org/doc/27858},
volume = {19},
year = {1983},
}

TY - JOUR
AU - Šebek, Michael
TI - Stochastic multivariable tracking: A polynomial equation approach
JO - Kybernetika
PY - 1983
PB - Institute of Information Theory and Automation AS CR
VL - 19
IS - 6
SP - 453
EP - 459
LA - eng
KW - tracking systems; polynomial matrices; spectral factorization; feedback part; feedforward part
UR - http://eudml.org/doc/27858
ER -

References

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  1. E. Emre, The polynomial equation Q Q C + R P C = Φ with application to dynamic feedback, SIAM J. Control Optim. 18 (1980), 6, 611-620. (1980) MR0592921
  2. E. Emre, L. M. Silvermann, The equation X R + Q Y = Φ : A characterization of solutions, SIAM J. Control Optim. 19 (1981), 1, 33-38. (1981) MR0603078
  3. M. J. Grimble, Design of stochastic optimal feedback control systems, Proc. IEEE 125 (1978), II, 1275-1284. (1978) 
  4. T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, N. J. 1980. (1980) Zbl0454.93001MR0569473
  5. V. Kučera, Discrete Linear Control - The Polynomial Equation Approach, Wiley, Chichester 1979. (1979) MR0573447
  6. V. Kučera, Stochastic multivariable control: A polynomial equation approach, IEEE Trans. Automat. Control AC-25 (1980), 5, 913-919. (1980) MR0595225
  7. H. Kwakernaak, R. Sivan, Linear Optimal Control Systems, Wiley, New York 1972. (1972) Zbl0276.93001MR0406607
  8. M. Šebek, Polynomial design of stochastic tracking systems, IEEE Trans. Automat. Control AC-27 0982), 2, 468-470. MR0680118
  9. M. Šebek, Direct polynomial approach to discrete-time stochastic tracking, Problems Control Inform. Theory 12 (1983), 4, 293-300. (1983) MR0729282
  10. Z. Vostrý, New algorithm for polynomial spectral factorization with quadratic convergence, Kybernetika 12 (1976), 4, 248-259. (1976) MR0423782
  11. W. A. Wolovich, Linear Multivariable Systems, Springer-Verlag, New York 1974. (1974) Zbl0291.93002MR0359881
  12. D. C. Youla J. J. Bongiorno, H. A. Jabr, Modern Wiener-Hopf design of optimal controllers. II: The multivariable case, IEEE Trans. Automat. Control AC-21 (1976), 3, 319-338. (1976) MR0446637

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