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  • 标题:Input-to-state stability results w.r.t. global attractors of semi-linear reaction-diffusion equations ⁎
  • 本地全文:下载
  • 作者:Sergey Dashkovskiy ; Oleksiy Kapustyan ; Jochen Schmid
  • 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
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