文章基本信息

标题：Numerical Computation of Lyapunov Function for Hyperbolic PDE using LMI Formulation and Polytopic Embeddings *
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作者：Pierre-Olivier Lamare ; Antoine Girard ; Christophe Prieur 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2015
卷号：48
期号：26
页码：7-12
DOI：10.1016/j.ifacol.2015.11.105
语种：English
出版社：Elsevier
摘要：AbstractWe consider the problem of stability analysis and control synthesis for first-order hyperbolic linear PDEs over a bounded interval with spatially varying coefficients. We propose LMI-based conditions for the stability and for the design of boundary and distributed control for this class of systems. These LMI-based conditions involve an infinite number of LMI. Hence, we show how to overapproximate these constraints using polytopic embeddings to reduce the problem to a finite number of LMI. We show the effectiveness of the overapproximation with several examples.
关键词：KeywordsHyperbolic PDELyapunov methodLMI