Function projective synchronization in complex networks with switching topology and stochastic effects

2015 ◽  
Vol 259 ◽  
pp. 730-740 ◽  
Author(s):  
Yunguo Jin ◽  
Shouming Zhong
Keyword(s):  
Complex Networks ◽  
Projective Synchronization ◽  
Switching Topology ◽  
Stochastic Effects ◽  
Function Projective Synchronization ◽  
Networks With Switching Topology

Function Projective Synchronization in Complex Networks with Stochastic Effects via Hybrid Feedback Control

2014 ◽  
Vol 511-512 ◽  
pp. 1008-1011
Author(s):  
Yun Guo Jin ◽  
Shou Ming Zhong
Keyword(s):  
Feedback Control ◽  
Complex Networks ◽  
Control Method ◽  
Exponential Synchronization ◽  
Projective Synchronization ◽  
Mean Square ◽  
Stochastic Effects ◽  
Function Projective Synchronization ◽  
Feedback Control Method

In this paper, the problem of function projective synchronization is investigated for complex networks with stochastic effects. A hybrid feedback control method is designed to achieve function projective synchronization for the complex networks. Using Gronwally' inequality, we obtain some conditions to guarantee that the complex networks can realize mean square synchronization and mean square exponential synchronization, respectively.

scholarly journals Pinning Synchronization of Switched Complex Dynamical Networks

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Liming Du ◽  
Feng Qiao ◽  
Fengying Wang
Keyword(s):  
Lyapunov Function ◽  
Complex Networks ◽  
Function Method ◽  
Complex Dynamical Networks ◽  
Switching Topology ◽  
Dynamical Networks ◽  
Switching Law ◽  
Arbitrary Switching ◽  
Lyapunov Function Method ◽  
Networks With Switching Topology

Network topology and node dynamics play a key role in forming synchronization of complex networks. Unfortunately there is no effective synchronization criterion for pinning synchronization of complex dynamical networks with switching topology. In this paper, pinning synchronization of complex dynamical networks with switching topology is studied. Two basic problems are considered: one is pinning synchronization of switched complex networks under arbitrary switching; the other is pinning synchronization of switched complex networks by design of switching when synchronization cannot achieved by using any individual connection topology alone. For the two problems, common Lyapunov function method and single Lyapunov function method are used respectively, some global synchronization criteria are proposed and the designed switching law is given. Finally, simulation results verify the validity of the results.

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