A Lyapunov approach to stability analysis of partial synchronization in delay-coupled networks⁎

作     者：Su, Libo Wei, Yanling Michiels, Wim Steur, Erik Nijmeijer, Henk 

作者机构：Department of Computer Science KU Leuven Celestijnenlaan 200A box 2402 Leuven3001 Belgium Delft Center for Systems and Control Mekelweg 2 DelftCD2628 Netherlands Department of Mechanical Engineering P.O. Box 513 EindhovenMB5600 Netherlands 

出 版 物：《IFAC-PapersOnLine》 

年 卷 期：2018年第51卷第33期

页      面：198-204页

核心收录：

基　　金：bFyWtOhe-pVrolajeacntdeGre0nA Department of Mechanical Engineering  College of Engineering  Michigan State University: neemerainilg:h .Pni.jOm.eBijeorx@5t1u3e .n5l6 561238 4Φ nu22ee0oz1-u4As 020031 C14/17/072 o11fn99uo99llu44 675080 675080 

主　　题：Linear matrix inequalities Delay control systems Dynamical systems Dynamics Linear systems Lyapunov functions Synchronization Time delay Linear Matrix Inequalities (LMIs) Linear parameter varying Linear parameter varying systems Lyapunov Krasovskii approach Lyapunov Krasovskii functionals Partial synchronization Synchronization error Time delay systems 

摘      要：Networks 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. © 2018