Algebraic theory of discrete optimal control for single-variable systems. I. Preliminaries

Vladimír Kučera

Kybernetika (1973)

  • Volume: 09, Issue: 2, page (94)-107
  • ISSN: 0023-5954

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Kučera, Vladimír. "Algebraic theory of discrete optimal control for single-variable systems. I. Preliminaries." Kybernetika 09.2 (1973): (94)-107. <http://eudml.org/doc/28478>.

@article{Kučera1973,
author = {Kučera, Vladimír},
journal = {Kybernetika},
language = {eng},
number = {2},
pages = {(94)-107},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Algebraic theory of discrete optimal control for single-variable systems. I. Preliminaries},
url = {http://eudml.org/doc/28478},
volume = {09},
year = {1973},
}

TY - JOUR
AU - Kučera, Vladimír
TI - Algebraic theory of discrete optimal control for single-variable systems. I. Preliminaries
JO - Kybernetika
PY - 1973
PB - Institute of Information Theory and Automation AS CR
VL - 09
IS - 2
SP - (94)
EP - 107
LA - eng
UR - http://eudml.org/doc/28478
ER -

References

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  1. S. S. L. Chang, Synthesis of Optimum Systems Control, McGraw-Hill, New York 1961. (1961) 
  2. G. H. Hardy E. M. Wright, An Introduction to the Theory of Numbers, Clarendon Press, Oxford 1960. (1960) 
  3. R. E. Kalman, On the general theory of control systems, Proc. 1st IFAC Congress, Moscow 1960. (1960) 
  4. R. E. Kalman P. L. Falb M. A. Arbib, Topics in Mathematical Systems Theory, McGraw-Hill, New York 1969. (1969) MR0255260
  5. S. Lang, Algebra, Addison-Wesley, 1965. (1965) Zbl0193.34701MR0197234
  6. Ш. Х. Михелович, Теория чисел, Высшая школа, Москва 1967. (1967) Zbl1103.35360
  7. A. P. Sage, Optimum Systems Control, Prentice-Hall, Englewood Cliffs, N.J. 1968. (1968) Zbl0192.51502MR0255264
  8. V. Strejc, al., Syntéza regulačních obvodů s číslicovým počítačem, NČSAV, Praha 1965. (1965) 
  9. J. T. Tou, Digital and Sampled-data Control Systems, McGraw-Hill, New York 1959. (1959) 
  10. O. Zariski P. Samuel, Commutative Algebra, Vol. 1, Van Nostrand, Princeton, N.J. 1958. (1958) MR0090581

Citations in EuDML Documents

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  1. Jan Ježek, New algorithm for minimal solution of linear polynomial equations
  2. Vladimír Kučera, Algebraic theory of discrete optimal control for single-variable systems. II. Open-loop control
  3. Zdeněk Vostrý, Discrete twice optimal control systems
  4. Zdeněk Vostrý, New algorithm for polynomial spectral factorization with quadratic convergence. II
  5. Zdeněk Vostrý, Congruence of analytic functions modulo a polynomial
  6. Vladimír Kučera, Closed-loop stability of discrete linear single-variable systems
  7. Vladimír Kučera, Algebraic theory of discrete optimal control for single-variable systems. III. Closed-Loop Control
  8. Vladimír Kučera, Constrained optimal control. The algebraic approach
  9. Vladimír Kučera, Algebraic approach to discrete stochastic control
  10. Vladimír Kučera, Algebraic methods in discrete linear estimation

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