• DocumentCode
    2844261
  • Title

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

  • Author

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

  • Author_Institution
    Sch. of Eng. & Inf. Technol., Univ. of New South Wales, Canberra, ACT, Australia
  • fYear
    2011
  • fDate
    June 29 2011-July 1 2011
  • Firstpage
    4340
  • Lastpage
    4347
  • Abstract
    In this paper, a finite horizon H∞ control problem is solved for a class of linear quantum systems using a dynamic game approach for the case of delayed measurements. The methodology adopted involves an equivalence between the quantum problem and an auxiliary classical stochastic problem. Then, the finite horizon H∞ control problem for the class of linear quantum systems under consideration is solved for the case of delayed measurements by solving the finite horizon H∞ control problem for an equivalent stochastic H∞ control problem using some results from a corresponding deterministic problem following a dynamic game approach.
  • Keywords
    H∞ control; delay systems; game theory; linear systems; stochastic systems; auxiliary classical stochastic problem; dynamic game approach; equivalent stochastic H∞ control; finite horizon H∞ control; linear quantum measurement delayed system; quantum problem; Cost function; Covariance matrix; Differential equations; Equations; Indium tin oxide; Noise; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference (ACC), 2011
  • Conference_Location
    San Francisco, CA
  • ISSN
    0743-1619
  • Print_ISBN
    978-1-4577-0080-4
  • Type

    conf

  • DOI
    10.1109/ACC.2011.5990635
  • Filename
    5990635
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2844261