文章基本信息

标题：On Existence of Separable Contraction Metrics for Monotone Nonlinear Systems * * This work was supported by the Australian Research Council.
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作者：Ian R. Manchester ; Jean-Jacques E. Slotine
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：8226-8231
DOI：10.1016/j.ifacol.2017.08.1389
语种：English
出版社：Elsevier
摘要：AbstractFinding separable certificates of stability is important for tractability of analysis methods for large-scale networked systems. In this paper we consider the question of when a nonlinear system which is contracting, i.e. all solutions are exponentially stable, can have that property verified by a separable metric. Making use of recent results in the theory of positive linear systems and separable Lyapunov functions, we prove several new results showing when this is possible, and discuss the application of to nonlinear distributed control design via convex optimization.
关键词：KeywordsDistributed controlNonlinear systemsConvex optimization