PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

The linear-quadratic stochastic optimal control problem with random horizon at the finite number of infinitesimal events

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of the article is to expand the results of the theory of Linear Quadratic Control (the state of the system is described with the help of stochastic linear equation while the quality coefficient is of a quadratic form) in the case of random horizon independent of the states of the system. As for the question under consideration the control system horizon is an independent variable with a discreet decomposition and has got a limited number of possible accomplishments. The above mentioned situation takes places when the number of controls is brought out by the outside factor (generally independent of the system).
Rocznik
Strony
103--115
Opis fizyczny
Bibliogr. 15 poz., rys., tab.
Twórcy
  • Department of Quantitative Methods, Lublin University of Technology, ul. Nadbystrzycka 38, 20-618 Lublin, Poland
Bibliografia
  • [1] Banek T., Hordjewicz T., Kozłowski E., The problem of active learning in stochastic linear systems, 14th International Congress of Cybernetics and Systems of WOSC (2008): 113–121.
  • [2] Banek T., Kozłowski E., Adaptive control of system entropy, Control and Cybernetics 35(2) (2006): 279–289.
  • [3] Banek T., Kozłowski E., Active and passive learning in control processes application of the entropy concept, Systems Science 31(2) (2005): 29–44.
  • [4] Banek T., Kozłowski E., Adaptive control with random horizon, Annales Informatica 3 (2005): 5–14.
  • [5] Chena Y., Edgarb T., Manousiouthakisa V., On infinite-time nonlinear quadratic optimal control, Systems and Control Letters 51 (2004): 259–268.
  • [6] Fleming W. H., Rishel R., Deterministic and Stochatic Optimal Control (Springer-Verlag, Berlin, 1975).
  • [7] Harris L., Rishel R., An algorithm for a solution of a stochastic adaptive linear quadratic optimal control problem, IEEE Transactions on Automatic Control 31 (1986): 1165–1170.
  • [8] Karatzas I., Shreve S.E., Connections between optimal stopping and singular control I. Monotone follower problems, SIAM J Control and Optimization 22 (1984): 856–877.
  • [9] Karatzas I., Shreve S.E., Connections between optimal stopping and singular control II. Reflected follower problems, SIAM J Control and Optimization 23 (1985): 433–451.
  • [10] Kozłowski E., Stochastic optimal control problem with random horizon, Recent Advances in Control and Automation, Malinowski K., Rutkowski L. (Polish Neural Network Society, Warsaw 2008): 125–130.
  • [11] Kushner H.J., Introduction to Stochastic Control Theory (Holt, Rinehart and Winston, New York, 1972).
  • [12] Rishel R., A nonlinear discrete time stochastic adaptive control problem, Theory and applications of nonlinear control systems, Sel. Pap. 7th Int. Symp. Math. Theory Networks Systems (1985): 585–592.
  • [13] Runggaldier W.J., Concepts and methods for discrete and continuous time control under uncertainty, Insurance Mathematics and Economics 22 (1998): 25–39.
  • [14] Shiryaev A.N., Statistical Analysis of Sequential Processes. Optimal Stoppping Rules (Springer-Verlag, New York, 1978).
  • [15] Zabczyk J., Chance and Decision (Scuola Normale Superiore, Pisa, 1996).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8144f7e0-cbf2-4540-bc66-ba804f75e3ef
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.