Generation of clusters in complex dynamical networks via pinning control

In this paper, we study the synchronization problem for nonlinearly coupled complex dynamical networks on time scales. To achieve synchronization for nonlinearly coupled complex dynamical networks on time scales, a pinning control strategy is designed. Some pinning synchronization criteria are established for nonlinearly coupled complex dynamical networks on time scales, which guarantee the whole network can be pinned to some desired state. The model investigated in this paper generalizes the continuous-time and discrete-time nonlinearly coupled complex dynamical networks to a unique and general framework. Moreover, two numerical examples are given for illustration and verification of the obtained results.

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Synchronization of fractional-order complex dynamical networks via periodically intermittent pinning control

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2017.06.025 ◽

2017 ◽

Vol 103 ◽

pp. 357-363 ◽

Cited By ~ 27

Author(s):

Hong-Li Li ◽

Cheng Hu ◽

Haijun Jiang ◽

Zhidong Teng ◽

Yao-Lin Jiang

Keyword(s):

Fractional Order ◽

Pinning Control ◽

Complex Dynamical Networks ◽

Order Complex ◽

Dynamical Networks

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Hybrid synchronization of the general delayed and non-delayed complex dynamical networks via pinning control

Neurocomputing ◽

10.1016/j.neucom.2012.02.015 ◽

2012 ◽

Vol 89 ◽

pp. 168-177 ◽

Cited By ~ 25

Author(s):

Xiangjun Wu ◽

Hongtao Lu

Keyword(s):

Pinning Control ◽

Complex Dynamical Networks ◽

Dynamical Networks ◽

Hybrid Synchronization

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Synchronization control of complex dynamical networks with piecewise constant arguments

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331218759494 ◽

2018 ◽

Vol 41 (2) ◽

pp. 540-551 ◽

Cited By ~ 1

Author(s):

Tianhu Yu ◽

Menglong Su

Keyword(s):

Impulsive Control ◽

Lyapunov Stability Theory ◽

Pinning Control ◽

Complex Dynamical Networks ◽

Control Law ◽

Dynamical Networks ◽

Piecewise Constant Arguments ◽

Piecewise Constant ◽

Synchronization Problem ◽

Theoretical Results

The pinning synchronization problem is investigated for complex dynamical networks with hybrid coupling via impulsive control. Based on the Lyapunov stability theory, some novel synchronization criteria are derived and an impulsive pinning control law is proposed. By introducing a differential inequality for systems with piecewise constant arguments, it is not necessary to establish any relationship between the norms of the error states with or without piecewise constant arguments. Typical numerical examples are utilized to illustrate the validity and improvements as regards conservativeness of the theoretical results.

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