文章基本信息

标题：Stability of infinitely many interconnected systems ⁎
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作者：Sergey Dashkovskiy ; Andrii Mironchenko ; Jochen Schmid 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：16
页码：550-555
DOI：10.1016/j.ifacol.2019.12.019
语种：English
出版社：Elsevier
摘要：In this paper we consider countable couplings of finite-dimensional input-to-state stable systems. We consider the whole interconnection as an infinite-dimensional system on the ℓ∞state space. We develop stability conditions of the small-gain type to guarantee that the whole system remains ISS and highlight the differences between finite and infinite couplings by means of examples. We show that using our methodology it is possible to study uniform global asymptotic stability of nonlinear spatially invariant systems by solving a finite number of nonlinear algebraic inequalities.
关键词：KeywordsStability analysisnonlinear systemsinterconnected systemslarge-scale systemsinfinite-dimensional systemsinput-to-state stability