文章基本信息

标题：Input-to-state stability results w.r.t. global attractors of semi-linear reaction-diffusion equations ⁎
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作者：Sergey Dashkovskiy ; Oleksiy Kapustyan ; Jochen Schmid 等
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：3186-3191
DOI：10.1016/j.ifacol.2020.12.2536
语种：English
出版社：Elsevier
摘要：AbstractWe establish local input-to-state stability and asymptotic gain results for a class of nonlinear infinite-dimensional systems with respect to the global attractor of the respective undisturbed system. We apply our results to a large class of reaction-diffusion equations with nontrivial global attractors.
关键词：Keywordsinput-to-state stabilityasymptotic gainglobal attractorinfinite-dimensional systemreaction-diffusion equation