Adaptive synchronization of fractional-order complex networks via pinning control

2012 ◽  
Vol 27 (12) ◽  
pp. 1086-1096 ◽  
Author(s):  
Jingui Liu ◽  
Lihong Huang ◽  
Yimin Meng
Keyword(s):  
Complex Networks ◽  
Fractional Order ◽  
Pinning Control ◽  
Adaptive Synchronization ◽  
Order Complex

scholarly journals Out Lag Synchronization of Fractional Order Delayed Complex Networks with Coupling Delay via Pinning Control

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-7 ◽  
Author(s):  
Weiwei Zhang ◽  
Jinde Cao ◽  
Dingyuan Chen ◽  
Ahmed Alsaedi
Keyword(s):  
Complex Networks ◽  
Fractional Order ◽  
Pinning Control ◽  
Auxiliary Function ◽  
Linear Feedback ◽  
Order Complex ◽  
Lag Synchronization ◽  
Coupling Delay ◽  
Control Scheme ◽  
Theoretical Results

This paper discusses the out lag synchronization of fractional order complex networks (FOCN) including both internal delay and coupling delay and with the employment of pinning control scheme. Using comparison theorem and constructing the auxiliary function, several synchronization criterions by linear feedback pinning control are presented. The model and the obtained results in this work are more general than the previous works. Correctness and effectiveness of the theoretical results are validated through numerical simulations.

Finite-time synchronization of fractional-order complex networks via hybrid feedback control

2018 ◽  
Vol 320 ◽  
pp. 69-75 ◽  
Author(s):  
Hong-Li Li ◽  
Jinde Cao ◽  
Haijun Jiang ◽  
Ahmed Alsaedi
Keyword(s):  
Feedback Control ◽  
Complex Networks ◽  
Fractional Order ◽  
Finite Time ◽  
Time Synchronization ◽  
Order Complex

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.

Sign in / Sign up

Export Citation Format

Share Document