Pinning adaptive and impulsive synchronization of fractional-order complex dynamical networks

2016 ◽  
Vol 92 ◽  
pp. 142-149 ◽  
Author(s):  
Hong-Li Li ◽  
Cheng Hu ◽  
Yao-Lin Jiang ◽  
Zuolei Wang ◽  
Zhidong Teng
Keyword(s):  
Fractional Order ◽  
Complex Dynamical Networks ◽  
Order Complex ◽  
Dynamical Networks ◽  
Impulsive Synchronization

Synchronization of fractional-order complex dynamical networks via periodically intermittent pinning control

2017 ◽  
Vol 103 ◽  
pp. 357-363 ◽  
Author(s):  
Hong-Li Li ◽  
Cheng Hu ◽  
Haijun Jiang ◽  
Zhidong Teng ◽  
Yao-Lin Jiang
Keyword(s):  
Fractional Order ◽  
Pinning Control ◽  
Complex Dynamical Networks ◽  
Order Complex ◽  
Dynamical Networks

Cluster synchronization in fractional-order complex dynamical networks

2012 ◽  
Vol 376 (35) ◽  
pp. 2381-2388 ◽  
Author(s):  
Liping Chen ◽  
Yi Chai ◽  
Ranchao Wu ◽  
Jian Sun ◽  
Tiedong Ma
Keyword(s):  
Fractional Order ◽  
Complex Dynamical Networks ◽  
Cluster Synchronization ◽  
Order Complex ◽  
Dynamical Networks

scholarly journals State Estimation for Fractional-Order Complex Dynamical Networks with Linear Fractional Parametric Uncertainty

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Hongjie Li
Keyword(s):  
State Estimation ◽  
Fractional Order ◽  
Parametric Uncertainty ◽  
Estimation Problem ◽  
Complex Dynamical Networks ◽  
Order System ◽  
Order Complex ◽  
State Estimator ◽  
Output Measurement ◽  
Dynamical Networks

This paper deals with state estimation problem for a class of fractional-order complex dynamical networks with parametric uncertainty. The parametric uncertainty is assumed to be of linear fractional form. Firstly, based on the properties of Kronecker product and the stability of fractional-order system, a sufficient condition is derived for robust asymptotic stability of linear fractional-order augmented system. Secondly, state estimation problem is then studied for the same fractional-order complex networks, where the purpose is to design a state estimator to estimate the network state through available output measurement, the existence conditions of designing state estimator are derived using matrix's singular value decomposition and LMI techniques. These conditions are in the form of linear matrix inequalities which can be readily solved by applying the LMI toolbox. Finally, two numerical examples are provided to demonstrate the validity of our approach.

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