Controlling the density evolution of classical, thermodynamic and quantum systems

Michele Pavon; Francesco Ticozzi

doi:10.1109/CDC.2005.1582421

Controlling the density evolution of classical, thermodynamic and quantum systems

Michele Pavon, Francesco Ticozzi

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

Original language	English (US)
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	1800-1805
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1582421
State	Published - 2005
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: Dec 12 2005 → Dec 15 2005

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Other

Other	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	12/12/05 → 12/15/05

ASJC Scopus subject areas

General Engineering

Access to Document

10.1109/CDC.2005.1582421

Cite this

Pavon, M., & Ticozzi, F. (2005). Controlling the density evolution of classical, thermodynamic and quantum systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 1800-1805). Article 1582421 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1582421

Controlling the density evolution of classical, thermodynamic and quantum systems. / Pavon, Michele; Ticozzi, Francesco.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 1800-1805 1582421 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Pavon, M & Ticozzi, F 2005, Controlling the density evolution of classical, thermodynamic and quantum systems. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1582421, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 1800-1805, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1582421

Pavon M, Ticozzi F. Controlling the density evolution of classical, thermodynamic and quantum systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 1800-1805. 1582421. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1582421

Pavon, Michele ; Ticozzi, Francesco. / Controlling the density evolution of classical, thermodynamic and quantum systems. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. pp. 1800-1805 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05).

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Controlling the density evolution of classical, thermodynamic and quantum systems

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