Cluster Synchronization of Nonlinearly Coupled Lur’e DNs: Impulsive Adaptive Control

2021 ◽  
pp. 139-160
Author(s):  
Ze Tang ◽  
Dong Ding ◽  
Yan Wang ◽  
Zhicheng Ji ◽  
Ju H. Park
Keyword(s):  
Adaptive Control ◽  
Cluster Synchronization

Cluster synchronization in fractional-order network with nondelay and delay coupling

2021 ◽  
pp. 2250006
Author(s):  
Yi Wang ◽  
Zhaoyan Wu
Keyword(s):  
Adaptive Control ◽  
Fractional Order ◽  
Cluster Synchronization ◽  
Sufficient Condition ◽  
Fractional Order Systems ◽  
Adaptive Controllers ◽  
Control Scheme ◽  
Control Schemes ◽  
The Stability ◽  
Adaptive Control Scheme

In this paper, cluster synchronization for fractional-order complex network with nondelay and delay coupling is investigated. Based on the stability theory of fractional-order systems and the properties of fractional derivative, both static and adaptive control schemes are adopted to design effective controllers. Sufficient condition for achieving cluster synchronization about static controllers is provided. From the condition, the needed feedback gains can be estimated by simple calculations. Further, adaptive control scheme is introduced to design unified controllers. Noticeably, in the adaptive controllers, the feedback gains need not be calculated in advance and can adjust themselves to the needed values according to updating laws. Finally, numerical simulations are given to demonstrate the correctness of the obtained results.

scholarly journals Adaptive Synchronization in Complex Network with Different Order Node Dynamics

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Fan-di Zhang ◽  
Jin-ping Jia ◽  
Li-xin Yang
Keyword(s):  
Adaptive Control ◽  
Complex Networks ◽  
Complex Network ◽  
Lyapunov Stability ◽  
Stability Theory ◽  
Lyapunov Stability Theory ◽  
Cluster Synchronization ◽  
Control Technique ◽  
Adaptive Synchronization ◽  
Different Order

This paper investigates the adaptive cluster synchronization in the complex networks with different orders. By means of Lyapunov stability theory and the adaptive control technique, a novel adaptive synchronization controller is developed. To demonstrate the validity of the proposed method, the examples for the synchronization of systems with the chaotic and hyperchaotic node dynamics are presented.

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