文章基本信息

标题：A spectral small-gain condition for input-to-state stability of infinite networks
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作者：Christoph Kawan ; Andrii Mironchenko ; Abdalla Swikir 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：5303-5308
DOI：10.1016/j.ifacol.2020.12.1214
语种：English
出版社：Elsevier
摘要：AbstractThis paper presents a tight small-gain theorem for networks composed of infinitely many finite-dimensional subsystems. Assuming that each subsystem is exponentially input-to-state stable, we show that if the gain operator, collecting all the information about the internal Lyapunov gains, has a spectral radius less than one, the overall infinite network is exponentially input-to-state stable. We illustrate the effectiveness of our result by applying it to traffic networks.
关键词：KeywordsNonlinear systemssmall-gain theoremsinfinite-dimensional systemsinput-to-state stabilityLyapunov methodslarge-scale systems