文章基本信息

标题：Linearized Controllability Analysis of Semilinear Partial Differential Equations ⁎ ⁎
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作者：Bernd Kolar ; Markus Schöberl
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：9
页码：347-352
DOI：10.1016/j.ifacol.2021.06.093
语种：English
出版社：Elsevier
摘要：AbstractIt is well-known that the controllability of finite-dimensional nonlinear systems can be established by showing the controllability of the linearized system. However, this classical result does not generalize to infinite-dimensional nonlinear systems. In this paper, we restrict ourselves to semilinear infinite-dimensional systems, and show that the exact controllability of the linearized system implies exact controllability of the nonlinear system. The restrictions concerning the nonlinear operator are similar to those that can be found in the literature about the linearized stability analysis of semilinear systems.
关键词：Keywordsnonlinear systemsinfinite-dimensional systemslinearizationexact controllability