Cluster lag synchronization of delayed heterogeneous complex dynamical networks via intermittent pinning control

Yang, Fan; Li, Huaqing; Chen, Guo; Xia, Dawen; Han, Qi

doi:10.1007/s00521-018-3618-7

Cited by 11 publications

(1 citation statement)

References 41 publications

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“…In many studies, researchers have focused on setting the controller to make the error of the complex network system approach zero with the advancement of time. [11][12][13][14] However, because of the existence of system disturbance in practical applications and because this disturbance is difficult to eliminate completely, sometimes the synchronization error cannot fully converge to zero. [15] Therefore, based on the above considerations, it is particularly necessary to study how to control the upper limit of the synchronization error by setting a controller to achieve quasisynchronization.…”

Section: Introductionmentioning

confidence: 99%

Quasi-synchronization of fractional-order complex networks with random coupling via quantized control

Zhang 张,

Cheng 程,

Ding 丁

2023

Chinese Phys. B

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This study investigated the quasi-synchronization of fractional-order complex networks (FCNs) with random coupling via quantized control. First, based on the logarithmic quantizer theory and Lyapunov stability theory, a new quantized feedback controller, which can make all nodes of complex networks quasisynchronization and eliminate the disturbance of random coupling in the system state, was designed under non-delay conditions. Second, we extended the theoretical results under non-delay conditions to time-varying delay conditions and designed another form of quantization feedback controller to ensure that the network achieves quasi-synchronization. Furthermore, the error bound of quasi-synchronization was obtained. Finally, we verified the accuracy of our results using two numerical simulation examples.

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