The discrete Riccati equation of optimal control

Vladimír Kučera

Kybernetika (1972)

  • Volume: 08, Issue: 5, page (430)-447
  • ISSN: 0023-5954

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Kučera, Vladimír. "The discrete Riccati equation of optimal control." Kybernetika 08.5 (1972): (430)-447. <http://eudml.org/doc/28850>.

@article{Kučera1972,
author = {Kučera, Vladimír},
journal = {Kybernetika},
language = {eng},
number = {5},
pages = {(430)-447},
publisher = {Institute of Information Theory and Automation AS CR},
title = {The discrete Riccati equation of optimal control},
url = {http://eudml.org/doc/28850},
volume = {08},
year = {1972},
}

TY - JOUR
AU - Kučera, Vladimír
TI - The discrete Riccati equation of optimal control
JO - Kybernetika
PY - 1972
PB - Institute of Information Theory and Automation AS CR
VL - 08
IS - 5
SP - (430)
EP - 447
LA - eng
UR - http://eudml.org/doc/28850
ER -

References

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  1. Birkhoff G., McLane S., A Survey of Modern Algebra, McMillan, New Yoгk 1965. (1965) 
  2. Hautus M. L. J., Stabilization, Controllability and Observability of Linear Autonomous Systems, Nederl. Akad. Wetensch. Proc. Ser. A73 (1970), 448-455. (1970) Zbl0212.47302MR0289170
  3. Kučera V., A Contribution to Matrix Quadratic Equations, IEEE Trans. on Automatic Contгol AC-17 (June 1972), 344-347. (1972) MR0449830
  4. Kučera V., On Nonnegative Definite Solutions to Matrix Quadratic Equations, In: Proc. 5th IFAC World Congress, Vol. 4, Paris, 1972. Also to appear in Journal Automatica, July 1972. (1972) MR0332827
  5. Kučera V., State Space Approach to Discrete Lineaг Control, Kybernetika 8 (1972), 3, 233-251. (1972) MR0337399
  6. Mårtensson K., On the Matrix Riccati Equation, Infoгmation Sciences 3, (1971), 1, 17-49. (1971) MR0280512
  7. Potteг J. E., Matrix Quadratic Solutions, SIAM J. on Appl. Math. 14 (1966), 3, 496-501. (1966) MR0201457
  8. Sage A. P., Optimum Systems Control, Prentice-Hall, Englewood Cliffs, N. J. 1968. (1968) Zbl0192.51502MR0255264
  9. Wonham W. M., On a Matrix Riccati Equation of Stochastic Control, SIAM J. on Control 6 (1968), 4, 681-698. (1968) MR0239161
  10. Zadeh L. A., Desoer C. A., Linear System Theory: The state Space Appгoach, McGгaw-Hill, New York 1963. (1963) 

Citations in EuDML Documents

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  1. Jerzy Zabczyk, Stability properties of the discrete Riccati operator equation
  2. Vladimír Kučera, State space approach to discrete linear control
  3. Vladimír Strejc, One possibility of multidimensional control system design
  4. Vladimír Kučera, A review of the matrix Riccati equation
  5. Vladimír Kučera, Algebraic approach to discrete stochastic control
  6. Vladimír Kučera, Algebraic methods in discrete linear estimation
  7. Vladimír Kučera, Algebraic theory of discrete optimal control for multivariable systems [I.]

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