On the relationship between pinning control effectiveness and graph topology in complex networks of dynamical systems

DOI10.1063/1.2944235zbMath1309.05169OpenAlexW2093941324WikidataQ51861566 ScholiaQ51861566MaRDI QIDQ5246311

Chai Wah Wu

Publication date: 21 April 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8f99e2be1d62286a649733b3e64af6de4a808823

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Control problems involving ordinary differential equations (34H05) Dynamical systems in control (37N35) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (10)

Pinning controllability of complex networks with community structure ⋮ Global stability of coupled Markovian switching reaction-diffusion systems on networks ⋮ Global stability analysis for stochastic coupled systems on networks ⋮ Stability in mean of partial variables for coupled stochastic reaction-diffusion systems on networks: a graph approach ⋮ A survey on global pinning synchronization of complex networks ⋮ Experiments on node-to-node pinning control of Chua's circuits ⋮ A DEGREE-BASED STRATEGY FOR CONSTRAINED PINNING CONTROL OF COMPLEX NETWORKS ⋮ Adaptive pinning synchronization of complex networks with stochastic perturbations ⋮ Optimal Controlled Nodes Selection for Fast Consensus ⋮ Synchronization of delayed coupled reaction-diffusion systems on networks

Cites Work

• On bounds of extremal eigenvalues of irreducible and \(m\)-reducible matrices
• On Rayleigh-Ritz ratios of a generalized Laplacian matrix of directed graphs
• Synchronization processes in complex networks
• Pinning control of scale-free dynamical networks
• Complex networks: structure and dynamics
• Matrix Analysis
• Synchronization in arrays of coupled nonlinear systems: passivity, circle criterion, and observer design
• Pinning Complex Networks by a Single Controller
• Pinning a Complex Dynamical Network to Its Equilibrium
• Synchronization of networks with prescribed degree distributions
• Synchronization in an array of linearly coupled dynamical systems
• Combinatorial Matrix Theory

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