GENERIC and Speed-Gradient Principle

被引：1

作者：

Shalymov, Dmitry S. ^{[1
]}

Fradkov, Alexander L. ^{[2
]}

机构：

[1] Russian Acad Sci, Inst Problems Mech Engn, 61 Bolshoy Ave VO, St Petersburg 199178, Russia

[2] ITMO Univ, 49 Kronverkskiy Pr, St Petersburg 197101, Russia

来源：

IFAC PAPERSONLINE | 2018年 / 51卷 / 33期

基金：

俄罗斯科学基金会;

关键词：

GENERIC; Speed-Gradient principle; Fokker-Planck equation; DYNAMICS; THERMODYNAMICS; FORMULATION; FORMALISM; EQUATION; MAXIMUM; FLUIDS;

D O I：

10.1016/j.ifacol.2018.12.104

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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. Ottinger et al. The result of this paper can also be treated to demonstrate the way how Fokker-Planck equations and the SG-principle relate. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：121 / 126

页数：6

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