Projective Lag Synchronization of Delayed Chaotic Systems via Intermittent Control with Two Sub-periods

2021 ◽  
Author(s):  
Bin Zheng ◽  
Jianping Cai ◽  
Jin Zhou
Keyword(s):  
Chaotic Systems ◽  
Intermittent Control ◽  
Lag Synchronization ◽  
Projective Lag Synchronization

Function projective lag synchronization of fractional-order chaotic systems

2014 ◽  
Vol 23 (4) ◽  
pp. 040502 ◽  
Author(s):  
Sha Wang ◽  
Yong-Guang Yu ◽  
Hu Wang ◽  
Ahmed Rahmani
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Lag Synchronization ◽  
Projective Lag Synchronization

Projective lag synchronization in drive-response dynamical networks

2014 ◽  
Vol 25 (11) ◽  
pp. 1450068 ◽  
Author(s):  
Ghada Al-Mahbashi ◽  
Mohd Salmi Md Noorani ◽  
Sakhinah Abu Bakar
Keyword(s):  
Chaotic Systems ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Scaling Factor ◽  
Lag Synchronization ◽  
Dynamical Networks ◽  
Feedback Control Method ◽  
Projective Lag Synchronization ◽  
Error Dynamics ◽  
The Stability

This paper investigates projective lag synchronization (PLS) behavior between chaotic systems in drive-response dynamical networks (DRDNs) model with nonidentical nodes. A hybrid feedback control method is designed to achieve the PLS with and without mismatched terms. Specially, the coupling matrix in this model is not assumed to be symmetric, diffusive or irreducible. The stability of the error dynamics is proven theoretically using the Lyapunov stability theory. Finally, analytical results show that the states of the dynamical network with non-delayed coupling can be asymptotically synchronized onto a desired scaling factor under the designed controller. Moreover, the numerical simulations results demonstrate the validity of the proposed method.

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