文章基本信息

标题：Stability analysis of a 1D wave equation with a nonmonotone distributed damping
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作者：Swann Marx ; Yacine Chitour ; Christophe Prieur 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：16
页码：36-41
DOI：10.1016/j.ifacol.2019.11.752
语种：English
出版社：Elsevier
摘要：This paper is concerned with the asymptotic stability analysis of a one dimensional wave equation subject to a nonmonotone distributed damping. A well-posedness result is provided together with a precise characterization of the asymptotic behavior of the trajectories of the system under consideration. The well-posedness is proved in the nonstandard Lpfunctional spaces, withp∈ [2, ∞], and relies mostly on some results collected in Haraux (2009). The asymptotic behavior analysis is based on an attractivity result on a specific infinite-dimensional linear time-variant system.
关键词：Keywords1D wave equationnonlinear controlLyapunov functionals