• DocumentCode
    3110670
  • Title

    Controlling the density evolution of classical, thermodynamic and quantum systems

  • Author

    Pavon, Michele ; Ticozzi, Francesco

  • Author_Institution
    Dept. of Pure and Applied Math., University of Padova, via Belzoni 7, 35131 Padova, Italy pavon@math.unipd.it
  • fYear
    2005
  • fDate
    12-15 Dec. 2005
  • Firstpage
    1800
  • Lastpage
    1805
  • Abstract
    We present perturbation formulas for the (Markovian) density evolution of physical systems. Examples are provided from classical mechanics, thermodynamics and quantum mechanics. In all situations, formulas concern the relative entropy (Kullback-Leibler) distance between densities corresponding to unperturbed (uncontrolled) and perturbed (controlled) evolutions.
  • Keywords
    Atomic beams; Atomic force microscopy; Control systems; Entropy; Force control; Laser feedback; Production; Quantum mechanics; Thermal force; Thermodynamics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
  • Print_ISBN
    0-7803-9567-0
  • Type

    conf

  • DOI
    10.1109/CDC.2005.1582421
  • Filename
    1582421