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  • 标题:GENERIC and Speed-Gradient Principle
  • 本地全文:下载
  • 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
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