Adaptive Synchronization of Fractional Order Complex-Variable Dynamical Networks via Pinning Control

2017 ◽  
Vol 68 (3) ◽  
pp. 366 ◽  
Author(s):  
Da-Wei Ding ◽  
Jie Yan ◽  
Nian Wang ◽  
Dong Liang
Keyword(s):  
Fractional Order ◽  
Complex Variable ◽  
Pinning Control ◽  
Adaptive Synchronization ◽  
Order Complex ◽  
Dynamical Networks

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

2017 ◽  
Vol 103 ◽  
pp. 357-363 ◽  
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

scholarly journals Adaptive Synchronization of Fractional-Order Complex Chaotic system with Unknown Complex Parameters

Entropy ◽  
2019 ◽  
Vol 21 (2) ◽  
pp. 207 ◽  
Author(s):  
Ruoxun Zhang ◽  
Yongli Liu ◽  
Shiping Yang
Keyword(s):  
Fractional Order ◽  
Complex Variable ◽  
Chaotic Systems ◽  
Adaptive Synchronization ◽  
Order Complex ◽  
System A ◽  
Synchronization Scheme ◽  
Complex Valued ◽  
Complex Chaotic System ◽  
Variable Inequality

This paper investigates the problem of synchronization of fractional-order complex-variable chaotic systems (FOCCS) with unknown complex parameters. Based on the complex-variable inequality and stability theory for fractional-order complex-valued system, a new scheme is presented for adaptive synchronization of FOCCS with unknown complex parameters. The proposed scheme not only provides a new method to analyze fractional-order complex-valued system but also significantly reduces the complexity of computation and analysis. Theoretical proof and simulation results substantiate the effectiveness of the presented synchronization scheme.

Projective synchronization via adaptive pinning control for fractional-order complex network with time-varying coupling strength

2019 ◽  
Vol 30 (07) ◽  
pp. 1940013
Author(s):  
Darui Zhu ◽  
Rui Wang ◽  
Chongxin Liu ◽  
Jiandong Duan
Keyword(s):  
Complex Network ◽  
Fractional Order ◽  
Control Method ◽  
Pinning Control ◽  
Projective Synchronization ◽  
Synchronization Control ◽  
Order Complex ◽  
Selection Algorithm ◽  
Feedback Control Method ◽  
Simulation Results

This paper presents an adaptive projective pinning control method for fractional-order complex network. First, based on theories of complex network and fractional calculus, some preliminaries of mathematics are given. Then, an analysis is conducted on the adaptive projective pinning control theory for fractional-order complex network. Based on the projective synchronization control method and the combined adaptive pinning feedback control method, suitable projection synchronization scale factor, adaptive feedback controller and the node selection algorithm are designed to illustrate the synchronization for fractional-order hyperchaotic complex network. Simulation results show that all nodes are stabilized to equilibrium point. Theoretical analysis and simulation results demonstrate that the designed adaptive projective pinning controllers are efficient.

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