• DocumentCode
    3290591
  • Title

    Finite horizon H∞ control for a class of linear quantum systems: A dynamic game approach

  • Author

    Maalouf, A.I. ; Petersen, I.R.

  • Author_Institution
    Sch. of Eng. & Inf. Technol., Univ. of New South Wales at the Australian Defence Force Acad., Canberra, ACT, Australia
  • fYear
    2010
  • fDate
    June 30 2010-July 2 2010
  • Firstpage
    1904
  • Lastpage
    1911
  • Abstract
    In this paper, the finite horizon H∞ control problem is solved for a class of linear quantum systems using a dynamic game approach. The methodology adopted involves an equivalence between the quantum problem and an auxiliary classical stochastic problem. Then, by solving the finite horizon H∞ control problem for the equivalent stochastic problem using results from a corresponding deterministic problem following a dynamic game approach, the finite horizon H∞ control problem for the class of linear quantum systems under consideration is solved.
  • Keywords
    H∞ control; linear systems; stochastic processes; auxiliary classical stochastic problem; dynamic game; equivalent stochastic problem; finite horizon H infinity control; linear quantum system; Control systems; Control theory; Cost function; Differential equations; Game theory; Optimal control; Quantum mechanics; Stochastic processes; Stochastic systems; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference (ACC), 2010
  • Conference_Location
    Baltimore, MD
  • ISSN
    0743-1619
  • Print_ISBN
    978-1-4244-7426-4
  • Type

    conf

  • DOI
    10.1109/ACC.2010.5531372
  • Filename
    5531372
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3290591