文章基本信息

标题：A Lyapunov approach to stability analysis of partial synchronization in delay-coupled networks ⁎
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作者：Libo Su ; Yanling Wei ; Wim Michiels 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：33
页码：198-204
DOI：10.1016/j.ifacol.2018.12.094
语种：English
出版社：Elsevier
摘要：AbstractNetworks of interconnected dynamical systems may exhibit a so-called partial synchronization phenomenon, which refers to synchronous behaviors of some but not all of the systems. The patterns of partial synchronization are often characterized by partial synchronization manifolds, which are linear invariant subspace of the state space of the network dynamics. Here, we propose a Lyapunov-Krasovskii approach to analyze the stability of partial synchronization manifolds in delay-coupled networks. First, the synchronization error dynamics are isolated from the network dynamics in a systematic way. Second, we use a parameter-dependent Lyapunov-Krasovskii functional to assess the local stability of the manifold, by employing techniques originally developed for linear parameter-varying (LPV) time-delay systems. The stability conditions are formulated in the form of linear matrix inequalities (LMIs) which can be solved by several available tools.
关键词：KeywordsPartial synchronizationlinear parameter-varying systemstime-delay systemslinear matrix inequalities