A time-varying complex dynamical network model and its controlled synchronization criteria
By Jinhu Lu, Guanrong Chen. IEEE Transactions on Automatic Control, 2004
1,004 citations recorded by the source corpus.
Today, complex networks have attracted increasing attention from various fields of science and engineering. It has been demonstrated that many complex networks display various synchronization phenomena. In this note, we introduce a time-varying complex dynamical network model. We then further investigate its synchronization phenomenon and prove several network synchronization theorems. Especially, we show that synchronization of such a time-varying dynamical network is completely determined by the inner-coupling matrix, and by the eigenvalues and the corresponding eigenvectors of the coupling configuration matrix of the network.
Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/3ce4ee83a8d48b99fca91a4ce1ae006992de0fad
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In Computer Networks and Communications
In Statistical and Nonlinear Physics
Citations in the corpus
- Second-order consensus in multi-agent dynamical systems with sampled position data (2011, neutral): “…behaviors in networked systems with a group of autonomous mobile agents, e.g., synchronization (Arenas, DiazGuilera, Kurths, Moreno, & Zhou, 2008; Lü & Chen, 2005; Pecora & Carroll, 1990; Wang & Chen, 2002; Yu, Cao, & Lü, 2008; Yu, Chen, & Lü, 2009; Zhou, Lu, & Lü, 2006), consensus (Cao, Morse,…”
- Exponential synchronization of stochastic delayed discrete-time complex networks (2008, background): “Recently, the synchronization problem has been investigated in [25, 26] for a uniform complex dynamical network and in [19] for a time-varying complex dynamical network.”
- Synchronization via Pinning Control on General Complex Networks (2013, background): “In addition to the commonly studied undirected networks [18, 19, 36, 37, 38, 45, 46, 48, 49, 61, 62], directed networks are also used to represent the interactive topology between the vertices.”
- Distributed Finite-Time Containment Control for Double-Integrator Multiagent Systems (2014, background): “2288980 problem in complex networks (for more details about synchronization in complex networks, see [9] and [10]).”
- Distributed Adaptive Control of Synchronization in Complex Networks (2012, background): “The corresponding time-varying complex dynamical network model [3]–[5] can be written as”
- Global Synchronization of Linearly Hybrid Coupled Networks with Time-Varying Delay (2008, background): “On the other hand, one can also extend the existing network models by introducing dynamical elements into the network nodes [3, 4, 14, 32, 33, 34].”
- Cooperative adaptive control for synchronization of second‐order systems with unknown nonlinearities (2011, background): “The pinning control has been introduced for synchronization tracking control of coupled complex dynamical systems [13–16].”
- Global Synchronization Control of General Delayed Discrete-Time Networks With Stochastic Coupling and Disturbances (2008, background): “Synchronization problem have been attracting recurrent research interests for many complex networks that include, but are not limited to, large-scale and complex networks of chaotic oscillators [6], [12], [19], [27], the coupled systems exhibiting spatiotemporal chaos and autowaves [15], [26], and t”
- Distributed adaptive control for synchronization of unknown nonlinear networked systems (2010, positive): “Recently, the pinning control has been introduced for synchronization control of coupled complex dynamical systems (Li, Wang, & Chen, 2004; Li, Duan, & Chen, 2009; Lu & Chen, 2005; Wang & Chen, 2002; Yu, Chen, & Lü, 2009).”