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Application of speed-gradient variational principle to modeling transient processes in thermodynamic. / Fradkov, Alexander L.

Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. 1 PART 1. ed. 2008. (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 17, No. 1 PART 1).

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

Harvard

Fradkov, AL 2008, Application of speed-gradient variational principle to modeling transient processes in thermodynamic. in Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. 1 PART 1 edn, IFAC Proceedings Volumes (IFAC-PapersOnline), no. 1 PART 1, vol. 17, 17th World Congress, International Federation of Automatic Control, IFAC, Seoul, Korea, Republic of, 6/07/08. https://doi.org/10.3182/20080706-5-KR-1001.0239

APA

Fradkov, A. L. (2008). Application of speed-gradient variational principle to modeling transient processes in thermodynamic. In Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC (1 PART 1 ed.). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 17, No. 1 PART 1). https://doi.org/10.3182/20080706-5-KR-1001.0239

Vancouver

Fradkov AL. Application of speed-gradient variational principle to modeling transient processes in thermodynamic. In Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. 1 PART 1 ed. 2008. (IFAC Proceedings Volumes (IFAC-PapersOnline); 1 PART 1). https://doi.org/10.3182/20080706-5-KR-1001.0239

Author

Fradkov, Alexander L. / Application of speed-gradient variational principle to modeling transient processes in thermodynamic. Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. 1 PART 1. ed. 2008. (IFAC Proceedings Volumes (IFAC-PapersOnline); 1 PART 1).

BibTeX

@inproceedings{cc484289de384346a307b5e8d66a58c5,
title = "Application of speed-gradient variational principle to modeling transient processes in thermodynamic",
abstract = "The speed-gradient variational principle (SG-principle) is formulated and applied to thermodynamical systems. It is shown that Ziegler's Maximum Entropy Generation Principle as well as Prigogine's principle of minimum entropy production and Onsager's symmetry relations can be interpreted in terms of the SG-principle. For an SG thermodynamic system its negative entropy plays a role of the goal functional. The speed-gradient formulation of thermodynamic principles provides their extended versions, describing transient dynamics of nonstationary systems far from equilibrium. As an example an SG-model of transient(relaxation) dynamics for systems of a finite number of particles based on maximum entropy principle is derived. It has the form dN(t)/dt = AlnN(t), where N(t) is the vector of the cell populations, A is a symmetric matrix with two zero eigenvalues corresponding to mass and energy conservation laws.",
keywords = "Process modeling and identification",
author = "Fradkov, {Alexander L.}",
year = "2008",
doi = "10.3182/20080706-5-KR-1001.0239",
language = "English",
isbn = "9783902661005",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
number = "1 PART 1",
booktitle = "Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC",
edition = "1 PART 1",
note = "17th World Congress, International Federation of Automatic Control, IFAC ; Conference date: 06-07-2008 Through 11-07-2008",

}

RIS

TY - GEN

T1 - Application of speed-gradient variational principle to modeling transient processes in thermodynamic

AU - Fradkov, Alexander L.

PY - 2008

Y1 - 2008

N2 - The speed-gradient variational principle (SG-principle) is formulated and applied to thermodynamical systems. It is shown that Ziegler's Maximum Entropy Generation Principle as well as Prigogine's principle of minimum entropy production and Onsager's symmetry relations can be interpreted in terms of the SG-principle. For an SG thermodynamic system its negative entropy plays a role of the goal functional. The speed-gradient formulation of thermodynamic principles provides their extended versions, describing transient dynamics of nonstationary systems far from equilibrium. As an example an SG-model of transient(relaxation) dynamics for systems of a finite number of particles based on maximum entropy principle is derived. It has the form dN(t)/dt = AlnN(t), where N(t) is the vector of the cell populations, A is a symmetric matrix with two zero eigenvalues corresponding to mass and energy conservation laws.

AB - The speed-gradient variational principle (SG-principle) is formulated and applied to thermodynamical systems. It is shown that Ziegler's Maximum Entropy Generation Principle as well as Prigogine's principle of minimum entropy production and Onsager's symmetry relations can be interpreted in terms of the SG-principle. For an SG thermodynamic system its negative entropy plays a role of the goal functional. The speed-gradient formulation of thermodynamic principles provides their extended versions, describing transient dynamics of nonstationary systems far from equilibrium. As an example an SG-model of transient(relaxation) dynamics for systems of a finite number of particles based on maximum entropy principle is derived. It has the form dN(t)/dt = AlnN(t), where N(t) is the vector of the cell populations, A is a symmetric matrix with two zero eigenvalues corresponding to mass and energy conservation laws.

KW - Process modeling and identification

UR - http://www.scopus.com/inward/record.url?scp=79961018013&partnerID=8YFLogxK

U2 - 10.3182/20080706-5-KR-1001.0239

DO - 10.3182/20080706-5-KR-1001.0239

M3 - Conference contribution

AN - SCOPUS:79961018013

SN - 9783902661005

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC

T2 - 17th World Congress, International Federation of Automatic Control, IFAC

Y2 - 6 July 2008 through 11 July 2008

ER -

ID: 87379548