• DocumentCode
    1533329
  • Title

    Coherent H^{\\infty } Control for a Class of Annihilation Operator Linear Quantum Systems

  • Author

    Maalouf, Aline I. ; Petersen, Ian R.

  • Author_Institution
    Sch. of Eng. & Inf. Technol., Univ. of New South Wales at ADFA, Canberra, ACT, Australia
  • Volume
    56
  • Issue
    2
  • fYear
    2011
  • Firstpage
    309
  • Lastpage
    319
  • Abstract
    This paper considers a coherent H∞ control problem for a class of linear quantum systems which can be defined by complex quantum stochastic differential equations in terms of annihilation operators only. For this class of quantum systems, a solution to the H∞ control problem can be obtained in terms of a pair of complex algebraic Riccati equations. In addition, the question of physical realizability of the resulting quantum controllers is related to a bounded real property.
  • Keywords
    H∞ control; Riccati equations; control system synthesis; differential equations; linear systems; quantum theory; stochastic systems; H∞ Control; Riccati equation; annihilation operator; linear quantum system; quantum system; stochastic differential equation; $H^{infty }$ control; coherent quantum control; complex algebraic Riccati equations; quantum controller realization; quantum feedback control; quantum optics;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2010.2052942
  • Filename
    5508361
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1533329