文章基本信息

标题：Structural Stability and Asymptotic Stability for Linear Multidimensional Systems: a Counterexample * * This work was supported by the ANR MSDOS grant ANR-13-BS03-0005.
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作者：R. David ; O. Bachelier ; T. Cluzeau 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：1853-1858
DOI：10.1016/j.ifacol.2017.08.201
语种：English
出版社：Elsevier
摘要：AbstractIn this paper, we revisit the notions of structural stability and asymptotic stability that are often considered as equivalent in the field of multidimensional systems. We illustrate that the equivalence between asymptotic and structural stability depends on where we define the boundary conditions. More precisely, we show that structural stability implies asymptotic stability when the boundary conditions are imposed on the positive axes. But a carefully designed counterexample shows that the opposite does not hold in this case. This illustrates once again the importance of the boundary conditions when dealing with multidimensional systems.
关键词：Keywordsasymptotic stabilitystructural stabilitymultidimensional systemslinear systemsdiscrete systems