Projective lag synchronization in drive-response dynamical networks via hybrid feedback control

2015 ◽  
Author(s):  
Ghada Al-Mahbashi ◽  
Mohd Salmi Md Noorani ◽  
Sakhinah Abu Bakar
Keyword(s):  
Feedback Control ◽  
Lag Synchronization ◽  
Dynamical Networks ◽  
Projective Lag Synchronization

scholarly journals Adaptive projective lag synchronization of uncertain complex dynamical networks with delay coupling

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Ghada Al-mahbashi ◽  
Mohd Salmi Md Noorani ◽  
Sakhinah Abu Bakar ◽  
Mohammed Mossa Al-Sawalha
Keyword(s):  
Complex Dynamical Networks ◽  
Lag Synchronization ◽  
Dynamical Networks ◽  
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.

Adaptive projective lag synchronization of uncertain complex dynamical networks with disturbance

2016 ◽  
Vol 207 ◽  
pp. 645-652 ◽  
Author(s):  
Ghada Al-mahbashi ◽  
M.S. Md Noorani ◽  
Sakhinah Abu Bakar ◽  
Shahed Vahedi
Keyword(s):  
Complex Dynamical Networks ◽  
Lag Synchronization ◽  
Dynamical Networks ◽  
Projective Lag Synchronization
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