On Pinning Synchronization of Directed and Undirected Complex Dynamical Networks

By Qiang Song, Jinde Cao. IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2010

443 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/748e741e661bd04caf9dfaf16949a290983b6c3a

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In Computer Networks and Communications

In Statistical and Nonlinear Physics

Citations in the corpus

Neural Network-Based Adaptive Leader-Following Consensus Control for a Class of Nonlinear Multiagent State-Delay Systems (2017, background): “Lemma 2 [33]: Let D = [dij] ∈ Rn×n be an irreducible matrix such that dij = dji ≤ 0 for i = j and dii = −∑nj=1 lij for i = 1, 2, .”
Synchronization via Pinning Control on General Complex Networks (2013, background): “To reduce the number of controlled vertices, some local feedback injections may be applied to a fraction of network vertices, which is known as pinning control [7, 9, 12, 15, 16, 17, 25, 26, 32, 33, 34, 38, 42, 43, 45, 46, 54, 62, 63].”
Synchronization Control for A Class of Discrete Time-Delay Complex Dynamical Networks: A Dynamic Event-Triggered Approach (2019, background): “For those complex networks where the state of each node evolves asynchronously, a variety of effective synchronization control schemes have been proposed, such as pinning control [10], [20], [21], [36], impulsive control [7], [37], and sampled-data control [13], [17].”
Synchronization of Coupled Reaction-Diffusion Neural Networks with Time-Varying Delays via Pinning-Impulsive Controller (2013, methodology): “Therefore, we can utilize an existing method concerning the state feedback pinning control strategy or adaptive pinning control strategy to determine which nodes should be controlled first, for instance, the methods in [50] and [51].”
Observer-Based Adaptive Backstepping Consensus Tracking Control for High-Order Nonlinear Semi-Strict-Feedback Multiagent Systems (2016, background): “Lemma 2 [41]: If L = (lij) ∈ Rn×n is the Laplacian matrix of an undirected graph G.”
Control Principles of Complex Networks (2015, background): “If h(x) = Γx and the oscillator dynamics f(x) satisfies (x− y)T[f(x, t)− f(y, t)] ≤ (x− y)TKΓ(x− y) (105) for a constant matrix K, sufficient conditions for global pinning synchronizability can also be derived (Song and Cao, 2010; Yu et al., 2013, 2009b).”