文章基本信息

标题：Stability Analysis of Thermodynamic Systems: Heat Conduction in Solids ⁎
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作者：Daming Lou ; Siep Weiland
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：11533-11538
DOI：10.1016/j.ifacol.2020.12.629
语种：English
出版社：Elsevier
摘要：AbstractThis paper addresses the fundamental difference between equilibria of thermodynamic systems and equilibria of autonomous state space systems. The notion of stability of thermodynamic equilibria is analyzed in terms of an entropy generating function that classifies as a Lyapunov function to prove asymptotic stability of thermal equilibria. The stability analysis is performed for both finite and infinite dimensional systems. It is shown how the proposed Lyapunov function naturally extends to assess stability of interconnected thermal systems. A number of examples is given to demonstrate the time evolution of the Lyapunov function.
关键词：KeywordsThermal stabilityLyapunov functionsThermal equilibria