文章基本信息

标题：Robust stability of a perturbed nonlinear wave equation ⁎
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作者：Sergey Dashkovskiy ; Vitalii Slyn’ko
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：3168-3173
DOI：10.1016/j.ifacol.2020.12.1067
语种：English
出版社：Elsevier
摘要：AbstractIn this work we consider a nonlinear wave equation subject to both distributed as well as boundary perturbations and derive several ISS-like estimates for solutions for such equations by means of Lyaponov and Faedo-Galerkin methods. Depending on the regularity of the boundary input signals different types of estimates are derived.
关键词：KeywordsStabilityrobustnesshyperbolic PDEsnonlinear systemsLyapunov methodinput-to-state stability