Synchronization of delayed complex dynamical networks with impulsive and stochastic effects

By Xinsong Yang, Jinde Cao, Jianquan Lu. 2011

168 citations recorded by the source corpus.

Abstract In this paper, the globally exponential synchronization of delayed complex dynamical networks with impulsive and stochastic perturbations is studied. The concept named “average impulsive interval” with “elasticity number” of impulsive sequence is introduced to get a less conservative synchronization criterion. By comparing with existing results, in which maximum or minimum of impulsive intervals are used to derive the synchronization criterion, the proposed synchronization criterion increases (or decreases) the impulse distances, which leads to the reduction of the control cost (or enhance the robustness of anti-interference) as the most important characteristic of impulsive synchronization techniques. It is discovered in our criterion that “elasticity number” has influence on synchronization of delayed complex dynamical networks but has no influence on that of non-delayed complex dynamical networks. Numerical simulations including a small-world network coupled with delayed Chua’s circuit are given to show the effectiveness and less conservativeness of the theoretical results.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6fcd2bfcdb4506919fc0fed28abc5804f0c311c6

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In Computer Networks and Communications

1. Jinde Cao
2. D.W.C. Ho
3. Jürgen Kurths
4. Xinsong Yang
5. Jianquan Lu
6. James Lam
7. Zhiguo Feng
8. Zhichun Yang

In Statistical and Nonlinear Physics

1. Jinde Cao
2. Jürgen Kurths
3. Xinsong Yang
4. Jianquan Lu
5. Zhichun Yang
6. D.W.C. Ho
7. James Lam
8. Jun Wang

Citations in the corpus

• Synchronization of Coupled Reaction-Diffusion Neural Networks with Time-Varying Delays via Pinning-Impulsive Controller (2013, background): “Due to these advantages, there are many results on synchronization of complex networks using impulsive control in the literature (see [10], [12], [21], [22] [24], [25], [28], [29], and references cited therein).”
• Fixed-Time Synchronization of Complex Networks With Impulsive Effects via Nonchattering Control (2017, background): “When 0 < r < 1, it can be deduced from (19) that [7], [46],”
• Synchronization Control for Nonlinear Stochastic Dynamical Networks: Pinning Impulsive Strategy (2012, methodology): “Different kinds of effective methods, including adaptive controllers [23], [24], impulsive controllers [25]–[27] and pinning state feedback controllers [19], [20], have been designed for the stabilization and synchronization of complex dynamical networks.”