Proceedings ArticleDOI
New spectral graph theoretic conditions for synchronization in directed complex networks
Hui Liu,Ming Cao,Chai Wah Wu +2 more
- pp 2307-2310
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TLDR
Lower bounds for the coupling strengths of oscillators in directed networks to guarantee global synchronization are proposed and the novel idea of graph comparison from spectral graph theory is employed.Abstract:
This paper proposes lower bounds for the coupling strengths of oscillators in directed networks to guarantee global synchronization. The novel idea of graph comparison from spectral graph theory is employed so that the topological features of a given network can be fully utilized to simplify computations. For large networks that can be decomposed into a set of smaller strongly connected components, the comparison can be carried out at the local level as well.read more
Citations
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Journal ArticleDOI
Coupling Strength Allocation for Synchronization in Complex Networks Using Spectral Graph Theory
Hui Liu,Ming Cao,Chai Wah Wu +2 more
TL;DR: Using spectral graph theory and especially its graph comparison techniques, new methodologies to allocate coupling strengths to guarantee global complete synchronization in complex networks are proposed.
Journal ArticleDOI
Synchronization in Directed Complex Networks Using Graph Comparison Tools
TL;DR: Lower bounds for the coupling strengths of oscillators in directed networks to guarantee global synchronization are proposed and examples are provided to demonstrate how to apply the proposed methodologies to typical directed complex networks.
Proceedings ArticleDOI
Consensus of edge dynamics on complex networks
Xiaofan Wang,Xiaoling Wang +1 more
TL;DR: By mapping the edge topology into a corresponding line graph, it is proved that consensus can be achieved among the states of all edges in a connected network.
Cooperative control in complex multi-agent networks facing information constraints
TL;DR: In this article, the focus is on the cooperatief regelen of complexe multi-agentnetwerken with informatie restricties, such as gekwantificeerde informaties, onzekerheden in de dynamica van de agenten and lokale kennis van de topologie van het netwerk.
Proceedings ArticleDOI
Bipartite Consensus of Time-varying Multi-agent Systems with Signed Edge Dynamics
Huihui Fu,Linying Xiang,Ge Guo +2 more
TL;DR: This work investigates the bipartite consensus problem for a time-varying multi-agent system with signed edge dynamics and proposes a distributed consensus protocol for this problem.
References
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Book
Spectral Graph Theory
TL;DR: Eigenvalues and the Laplacian of a graph Isoperimetric problems Diameters and eigenvalues Paths, flows, and routing Eigen values and quasi-randomness
Proceedings ArticleDOI
Spectral Graph Theory and its Applications
TL;DR: This tutorial will try to provide some intuition as to why these eigenvectors and eigenvalues have combinatorial significance, and will sitn'ey some of their applications.
Journal ArticleDOI
Reaching a Consensus in a Dynamically Changing Environment: A Graphical Approach
TL;DR: Graph-theoretic conditions are obtained which address the convergence question for the leaderless version of the widely studied Vicsek consensus problem.
Journal ArticleDOI
Connection Graph Stability Method for Synchronized Coupled Chaotic Systems
TL;DR: This paper elucidates the relation between network dynamics and graph theory and proposes a new general method to determine global stability of total synchronization in networks with different topologies that combines the Lyapunov function approach with graph theoretical reasoning.
Book
Synchronization in Complex Networks of Nonlinear Dynamical Systems
TL;DR: Graphs, Networks, Laplacian Matrices and Algebraic Connectivity Graph Models Synchronization in Networks of Nonlinear Continuous-Time Dynamical Systems Synchronized in networks of Coupled Discrete-Time systems Synchronizing in Network of Systems with Linear Dynamics Agreement and Consensus Problems in Groups of Interacting Agents.
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