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标题：Set stability of infinite networks: ISS small-gain theory and its applications
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作者：Navid Noroozi ; Andrii Mironchenko ; Christoph Kawan 等
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：72-77
DOI：10.1016/j.ifacol.2021.06.063
语种：English
出版社：Elsevier
摘要：AbstractMotivated by a paradigm shift towards a hyper-connected world, we develop a computationally tractable small-gain theorem for networks of infinitely many subsystems, termed as infinite networks. The proposed small-gain theorem addresses exponential input-to-state stability with respect to closed sets, which enables us to analyze diverse stability problems in a unified manner. The small-gain condition, expressed in terms of the spectral radius of a gain operator collecting all the information about the internal Lyapunov gains, can be numerically checked efficiently for a large class of systems. To demonstrate broad applicability of our small-gain theorem, we apply it to consensus of infinitely many agents, and to the design of distributed observers for infinite networks.
关键词：KeywordsNonlinear systemssmall-gain theoremsinfinite-dimensional systemsinput-to-state stabilityLyapunov methodslarge-scale systems