A criterion for stability of cluster synchronization in networks with external equitable partitions

DOI10.1016/j.automatica.2018.11.026zbMath1411.93009OpenAlexW2902388117MaRDI QIDQ1737641

Mattia Frasca, Lucia Valentina Gambuzza

Publication date: 24 April 2019

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2018.11.026

zbMATH Keywords

decentralized controlsynchronizationnetworked control systemsequitable partitions

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Decentralized systems (93A14)

Related Items (12)

Experimental observations of chimera states in locally and non-locally coupled Stuart-Landau oscillator circuits ⋮ Nonlinear integral coupling for synchronization in networks of nonlinear systems ⋮ Partial synchronization in community networks based on the intra- community connections ⋮ Controlling consensus in networks with symmetries ⋮ Network specialization: a topological mechanism for the emergence of cluster synchronization ⋮ Pinning impulsive cluster synchronization of uncertain complex dynamical networks with multiple time-varying delays and impulsive effects ⋮ Adaptive pinning cluster synchronization of a stochastic reaction-diffusion complex network ⋮ Cluster consensus for inherently nonlinear cooperative networks ⋮ Invariant Synchrony Subspaces of Sets of Matrices ⋮ Reset output feedback control of cluster linear multi-agent systems ⋮ Finite-time cluster synchronization of coupled dynamical systems with impulsive effects ⋮ Multi-consensus of second-order agents in discrete-time directed networks

Uses Software

• pstca

Cites Work

• Unnamed Item
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• Interacting with Networks: How Does Structure Relate to Controllability in Single-Leader, Consensus Networks?

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