文章基本信息

标题：Lyapunov stability analysis of a linear system coupled to a heat equation. * * This work is supported by the ANR project SCIDiS contract number 15-CE23-0014
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作者：Lucie Baudouin ; Alexandre Seuret ; Frédéric Gouaisbaut 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：11978-11983
DOI：10.1016/j.ifacol.2017.08.1889
语种：English
出版社：Elsevier
摘要：AbstractThis paper addresses the stability analysis of a system of ordinary differential equations coupled with a classic heat equation using a Lyapunov approach. Relying on recent developments in the area of time-delay systems, a new method to study the stability of such a class of coupled finite/infinite dimensional systems is presented here. It consists in a Lyapunov analysis of the infinite dimensional state of the system using an energy functional enriched by the mean value of the heat variable. The main technical step relies on the use an efficient Bessel-like integral inequality on Hilbert space leading to tractable conditions expressed in terms of linear matrix inequalities. The results are then illustrated on academic examples and demonstrate the potential of this new approach.
关键词：KeywordsHeat equationLyapunov functionalsintegral inequalitiesLMI