文章基本信息

标题：The ISS property for a feedback connection of an ODE with a parabolic PDE ⁎
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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：3174-3179
DOI：10.1016/j.ifacol.2020.12.1069
语种：English
出版社：Elsevier
摘要：AbstractWe consider a linear non-autonomous ODE with an input signal, which is a solution of a linear non-autonomous parabolic PDE for which the solution of the ODE enters as an input. Moreover there are external disturbances entering through the boundary conditions of the parabolic equation. In this work we derive ISS estimates for this feedback connection under certain linear matrix inequality conditions. The derivation of results is based on the Lyapunov method.
关键词：KeywordsStabilityrobustnesslinear ODE-PDE interconnectionsparabolic PDEsLyapunov methodinput-to-state stability