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
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;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582421
