文章基本信息

标题：Stability analysis of a system coupled to a transport equation using integral inequalities * * This work is supported by the ANR project SCIDiS contract number 15-CE23-0014.
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作者：Lucie Baudouin ; Alexandre Seuret ; Mohammed Safi 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2016
卷号：49
期号：8
页码：92-97
DOI：10.1016/j.ifacol.2016.07.424
语种：English
出版社：Elsevier
摘要：AbstractWe address the stability of a system of ordinary differential equations coupled with a transport partial differential equation, using a Lyapunov functional approach. This system can also be interpreted as a finite dimensional system subject to a state delay. Inspired from recent developments on time-delay systems, a novel method to assess stability of such a class of coupled systems is developed here. We will specifically take advantage of a polynomial approximation of the infinite dimensional state of the transport equation together with efficient integral inequalities in order to study the stability of the infinite dimensional system. The main result of this paper provides exponential stability conditions for the whole coupled system expressed in terms of linear matrix inequalities and the results are tested on academic examples.
关键词：KeywordsTransport equationLyapunovintegral inequalitiespolynomial approximation