文章基本信息

标题：GENERIC and Speed-Gradient Principle
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作者：Dmitry S. Shalymov ; Alexander L. Fradkov
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：33
页码：121-126
DOI：10.1016/j.ifacol.2018.12.104
语种：English
出版社：Elsevier
摘要：AbstractIn 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.
关键词：KeywordsGENERICSpeed-Gradient principleFokker-Planck equation