Synchronization of discrete fractional-order complex networks with and without unknown topology

2022 ◽  
Vol 32 (1) ◽  
pp. 013112
Author(s):  
Weiyuan Ma ◽  
Zhiming Li ◽  
Nuri Ma
Keyword(s):  
Complex Networks ◽  
Fractional Order ◽  
Order Complex

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

Applied-Information Technology in Robust Synchronization of Uncertain Fractional-Order Complex Networks

2014 ◽  
Vol 1014 ◽  
pp. 355-358
Author(s):  
Jin Gui Liu
Keyword(s):  
Information Technology ◽  
Complex Networks ◽  
Fractional Order ◽  
Robust Stability ◽  
Order System ◽  
Order Complex ◽  
Stability Criteria ◽  
Numerical Example ◽  
Robust Synchronization ◽  
Lmi Technique

This paper deals with robust synchronization of a class of uncertain fractional-order complex networks. Robust stability criteria of uncertain fractional-order system with is investigated based on LMI technique. Furthermore, robust synchronization of uncertain fractional-order complex networks is discussed based on the LMI technique. Finally, numerical example is given to illustrate the effectiveness of the proposed methods.

Robust projective outer synchronization of coupled uncertain fractional-order complex networks

Open Physics ◽  
2013 ◽  
Vol 11 (6) ◽  
Author(s):  
Junwei Wang ◽  
Yun Zhang
Keyword(s):  
Complex Networks ◽  
Fractional Order ◽  
Small World ◽  
Linear Matrix ◽  
Control Law ◽  
Order Complex ◽  
Outer Synchronization ◽  
World Communication ◽  
Special Cases ◽  
Communication Topology

AbstractIn this work, we propose a novel projective outer synchronization (POS) between unidirectionally coupled uncertain fractional-order complex networks through scalar transmitted signals. Based on the state observer theory, a control law is designed and some criteria are given in terms of linear matrix inequalities which guarantee global robust POS between such networks. Interestingly, in the POS regime, we show that different choices of scaling factor give rise to different outer synchrony, with various special cases including complete outer synchrony, anti-outer synchrony and even a state of amplitude death. Furthermore, it is demonstrated that although stability of POS is irrelevant to the inner-coupling strength, it will affect the convergence speed of POS. In particular, stronger inner synchronization can induce faster POS. The effectiveness of our method is revealed by numerical simulations on fractional-order complex networks with small-world communication topology.

Decentralized adaptive strategies for synchronization of fractional-order complex networks

2017 ◽  
Vol 4 (3) ◽  
pp. 543-550 ◽  
Author(s):  
Quan Xu ◽  
Shengxian Zhuang ◽  
Yingfeng Zeng ◽  
Jian Xiao
Keyword(s):  
Complex Networks ◽  
Fractional Order ◽  
Adaptive Strategies ◽  
Order Complex
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