A priori results in linear-quadratic optimal control theory

Ton Geerts

Kybernetika (1991)

  • Volume: 27, Issue: 5, page 446-457
  • ISSN: 0023-5954

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Geerts, Ton. "A priori results in linear-quadratic optimal control theory." Kybernetika 27.5 (1991): 446-457. <http://eudml.org/doc/29006>.

@article{Geerts1991,
author = {Geerts, Ton},
journal = {Kybernetika},
keywords = {linear-quadratic optimal control; rank minimizing solution; dissipation inequality},
language = {eng},
number = {5},
pages = {446-457},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A priori results in linear-quadratic optimal control theory},
url = {http://eudml.org/doc/29006},
volume = {27},
year = {1991},
}

TY - JOUR
AU - Geerts, Ton
TI - A priori results in linear-quadratic optimal control theory
JO - Kybernetika
PY - 1991
PB - Institute of Information Theory and Automation AS CR
VL - 27
IS - 5
SP - 446
EP - 457
LA - eng
KW - linear-quadratic optimal control; rank minimizing solution; dissipation inequality
UR - http://eudml.org/doc/29006
ER -

References

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  1. R. W. Brockett, Finite Dimensional Linear Systems, J. Wiley, New York 1970. (1970) Zbl0216.27401
  2. Ton Geerts, All optimal controls for the singular linear-quadratic problem without stability: A new interpretation of the optimal cost, Linear Algebra Appl. 116 (1991), 135-181. (1991) MR0989722
  3. Ton Geerts, The algebraic Riccati equation and singular optimal control, In: Lecture Notes of Workshop on Riccati Eq. in Control Syst. and Sign. (S. Bittanti, ed,), Pitagora Ed., Bologna 1989, pp. 129-135. (1989) 
  4. Ton Geerts, Structure of Linear-Quadratic Control, Ph. D. Thesis, Eindhoven University of Technology, Eindhoven 1989. (1989) MR1026932
  5. M. L. J. Hautus, L. M. Silverman, System structure and singular control, Linear Algebra Appl. 50 (1983), 369-402. (1983) Zbl0522.93021MR0699568
  6. B. P. Molinari, Nonnegativity of a quadratic functional, SIAM J. Control Optim. 13 (1975), 792-806. (1975) MR0390875
  7. B. P. Molinari, The time-invariant linear-quadratic optimal control problem, Automatica 13 (1977), 347-357. (1977) Zbl0359.49001
  8. J.M. Schumacher, The role of the dissipation matrix in singular optimal control, Systems Control Lett. 2 (1983), 262-266. (1983) Zbl0521.93017MR0703853
  9. J. C. Willems, Least squares stationary optimal control and the algebraic Riccati equation, IEEE Trans. Automat. Control AC-16 (1971), 621 - 634. (1971) MR0308890
  10. W. M. Wonham, Linear Multivariable Control: A Geometric Approach, Springer-Verlag, New York-Berlin-Heidelberg 1979. (1979) Zbl0424.93001MR0569358

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