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GENERIC and Speed-Gradient Principle. / Shalymov, Dmitry S.; Fradkov, Alexander L.

в: IFAC-PapersOnLine, Том 51, № 33, 01.01.2018, стр. 121-126.

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

Harvard

Shalymov, DS & Fradkov, AL 2018, 'GENERIC and Speed-Gradient Principle', IFAC-PapersOnLine, Том. 51, № 33, стр. 121-126. https://doi.org/10.1016/j.ifacol.2018.12.104

APA

Shalymov, D. S., & Fradkov, A. L. (2018). GENERIC and Speed-Gradient Principle. IFAC-PapersOnLine, 51(33), 121-126. https://doi.org/10.1016/j.ifacol.2018.12.104

Vancouver

Shalymov DS, Fradkov AL. GENERIC and Speed-Gradient Principle. IFAC-PapersOnLine. 2018 Янв. 1;51(33):121-126. https://doi.org/10.1016/j.ifacol.2018.12.104

Author

Shalymov, Dmitry S. ; Fradkov, Alexander L. / GENERIC and Speed-Gradient Principle. в: IFAC-PapersOnLine. 2018 ; Том 51, № 33. стр. 121-126.

BibTeX

@article{a12696063bf04619b845f91e1aeacb20,
title = "GENERIC and Speed-Gradient Principle",
abstract = "In this paper we investigate the relationship between GENERIC (general equation for the nonequilibrium reversible-irreversible coupling) framework originated in nonequilibrium thermodynamics and the Speed-Gradient (SG) Principle originated in control theory. GENERIC is known as a general structure for the various time-evolution equations for nonequilibrium systems. The SG-principle is successfully used to determine dynamics of entropy-driven systems from the perspective of MaxEnt principle. Based on the SG-principle a time-evolution equations can be derived in a general way. We consider several examples of SG-principle application and show its correspondence to GENERIC framework. The relation between GENERIC and Fokker-Planck equations has already been established by H.C. {\"O}ttinger et al. The result of this paper can also be treated to demonstrate the way how Fokker-Planck equations and the SG-principle relate.",
keywords = "Fokker-Planck equation, GENERIC, Speed-Gradient principle",
author = "Shalymov, {Dmitry S.} and Fradkov, {Alexander L.}",
year = "2018",
month = jan,
day = "1",
doi = "10.1016/j.ifacol.2018.12.104",
language = "English",
volume = "51",
pages = "121--126",
journal = "IFAC-PapersOnLine",
issn = "2405-8971",
publisher = "Elsevier",
number = "33",

}

RIS

TY - JOUR

T1 - GENERIC and Speed-Gradient Principle

AU - Shalymov, Dmitry S.

AU - Fradkov, Alexander L.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In this paper we investigate the relationship between GENERIC (general equation for the nonequilibrium reversible-irreversible coupling) framework originated in nonequilibrium thermodynamics and the Speed-Gradient (SG) Principle originated in control theory. GENERIC is known as a general structure for the various time-evolution equations for nonequilibrium systems. The SG-principle is successfully used to determine dynamics of entropy-driven systems from the perspective of MaxEnt principle. Based on the SG-principle a time-evolution equations can be derived in a general way. We consider several examples of SG-principle application and show its correspondence to GENERIC framework. The relation between GENERIC and Fokker-Planck equations has already been established by H.C. Öttinger et al. The result of this paper can also be treated to demonstrate the way how Fokker-Planck equations and the SG-principle relate.

AB - In this paper we investigate the relationship between GENERIC (general equation for the nonequilibrium reversible-irreversible coupling) framework originated in nonequilibrium thermodynamics and the Speed-Gradient (SG) Principle originated in control theory. GENERIC is known as a general structure for the various time-evolution equations for nonequilibrium systems. The SG-principle is successfully used to determine dynamics of entropy-driven systems from the perspective of MaxEnt principle. Based on the SG-principle a time-evolution equations can be derived in a general way. We consider several examples of SG-principle application and show its correspondence to GENERIC framework. The relation between GENERIC and Fokker-Planck equations has already been established by H.C. Öttinger et al. The result of this paper can also be treated to demonstrate the way how Fokker-Planck equations and the SG-principle relate.

KW - Fokker-Planck equation

KW - GENERIC

KW - Speed-Gradient principle

UR - http://www.scopus.com/inward/record.url?scp=85059186908&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2018.12.104

DO - 10.1016/j.ifacol.2018.12.104

M3 - Article

AN - SCOPUS:85059186908

VL - 51

SP - 121

EP - 126

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 33

ER -

ID: 37785717