文章基本信息

标题：Event-triggered damping of a linear wave equation
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作者：Lucie Baudouin ; Swann Marx ; Sophie Tarbouriech 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：2
页码：58-63
DOI：10.1016/j.ifacol.2019.08.011
语种：English
出版社：Elsevier
摘要：AbstractThe paper addresses the design of an event-triggering mechanism for a partial differential wave equation posed in a bounded domain. The wave equation is supposed to be controlled through a classical damping term: the first order time derivative of the solution, distributed in the whole domain. In a continuous framework, such a feedback leads to the global exponential stability of the closed-loop system. Here, sufficient conditions based on the use of a suitable Lyapunov functional are proposed to guarantee that an event-triggered distributed damping ensures the exponential stability. Moreover, the designed event-triggering mechanism allows avoiding the Zeno behavior. The ‘existence and regularity’ prerequisite properties of solutions for the closed loop system are also proven.
关键词：KeywordsDistributed parameter systemsevent-triggered controlLyapunov functionals