Standard

Dynamics of the relative entropy minimization processes. / Shalymov, Dmitry; Fradkov, Alexander; Liubchich, Svetlana; Sokolov, Boris.

в: Cybernetics and Physics, Том 6, № 2, 30.09.2017, стр. 80-87.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Shalymov, D, Fradkov, A, Liubchich, S & Sokolov, B 2017, 'Dynamics of the relative entropy minimization processes', Cybernetics and Physics, Том. 6, № 2, стр. 80-87.

APA

Shalymov, D., Fradkov, A., Liubchich, S., & Sokolov, B. (2017). Dynamics of the relative entropy minimization processes. Cybernetics and Physics, 6(2), 80-87.

Vancouver

Shalymov D, Fradkov A, Liubchich S, Sokolov B. Dynamics of the relative entropy minimization processes. Cybernetics and Physics. 2017 Сент. 30;6(2):80-87.

Author

Shalymov, Dmitry ; Fradkov, Alexander ; Liubchich, Svetlana ; Sokolov, Boris. / Dynamics of the relative entropy minimization processes. в: Cybernetics and Physics. 2017 ; Том 6, № 2. стр. 80-87.

BibTeX

@article{c4e3b1b2c4a94f088c93f7f7ea412f99,
title = "Dynamics of the relative entropy minimization processes",
abstract = "Dynamics of non-stationary processes that minimize the Kullback–Leibler divergence (follow the minimum of the relative entropy principle) are considered. A set of equations describing the system dynamics under the mass conservation and energy conservation constraints is derived. The existence and uniqueness of solution are established, asymptotic stability of the equilibrium is proved. Equations are derived based on the Speed- Gradient (SG) principle originated in the control theory.",
keywords = "Convergence, Kullback–Leibler divergence, Non-stationary process, Speed-gradient principle",
author = "Dmitry Shalymov and Alexander Fradkov and Svetlana Liubchich and Boris Sokolov",
year = "2017",
month = sep,
day = "30",
language = "English",
volume = "6",
pages = "80--87",
journal = "Cybernetics and Physics",
issn = "2223-7038",
publisher = "IPACS",
number = "2",

}

RIS

TY - JOUR

T1 - Dynamics of the relative entropy minimization processes

AU - Shalymov, Dmitry

AU - Fradkov, Alexander

AU - Liubchich, Svetlana

AU - Sokolov, Boris

PY - 2017/9/30

Y1 - 2017/9/30

N2 - Dynamics of non-stationary processes that minimize the Kullback–Leibler divergence (follow the minimum of the relative entropy principle) are considered. A set of equations describing the system dynamics under the mass conservation and energy conservation constraints is derived. The existence and uniqueness of solution are established, asymptotic stability of the equilibrium is proved. Equations are derived based on the Speed- Gradient (SG) principle originated in the control theory.

AB - Dynamics of non-stationary processes that minimize the Kullback–Leibler divergence (follow the minimum of the relative entropy principle) are considered. A set of equations describing the system dynamics under the mass conservation and energy conservation constraints is derived. The existence and uniqueness of solution are established, asymptotic stability of the equilibrium is proved. Equations are derived based on the Speed- Gradient (SG) principle originated in the control theory.

KW - Convergence

KW - Kullback–Leibler divergence

KW - Non-stationary process

KW - Speed-gradient principle

UR - http://www.scopus.com/inward/record.url?scp=85039695013&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85039695013

VL - 6

SP - 80

EP - 87

JO - Cybernetics and Physics

JF - Cybernetics and Physics

SN - 2223-7038

IS - 2

ER -

ID: 37254378