Finite Time Synchronization of Complex Network Coupled by Outputs

2013 ◽  
Vol 8 (5) ◽  
pp. 185-191
Author(s):  
Wan Youhong ◽  
Fu Bo
Keyword(s):  
Complex Network ◽  
Finite Time ◽  
Time Synchronization

scholarly journals Finite-Time Bounded Synchronization of the Growing Complex Network with Nondelayed and Delayed Coupling

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Yuhua Xu ◽  
Jincheng Zhang ◽  
Wuneng Zhou ◽  
Dongbing Tong
Keyword(s):  
Complex Networks ◽  
Complex Network ◽  
Finite Time ◽  
Time Synchronization ◽  
Stable Theory ◽  
Complex Dynamical Network ◽  
Numerical Examples ◽  
Delayed Coupling ◽  
Growing Networks ◽  
Theoretical Results

The objective of this paper is to discuss finite-time bounded synchronization for a class of the growing complex network with nondelayed and delayed coupling. In order to realize finite-time synchronization of complex networks, a new finite-time stable theory is proposed; effective criteria are developed to realize synchronization of the growing complex dynamical network in finite time. Moreover, the error of two growing networks is bounded simultaneously in the process of finite-time synchronization. Finally, some numerical examples are provided to verify the theoretical results established in this paper.

Fixed-time synchronization of multi-links complex network

2017 ◽  
Vol 31 (02) ◽  
pp. 1750008 ◽  
Author(s):  
Hui Zhao ◽  
Lixiang Li ◽  
Haipeng Peng ◽  
Jinghua Xiao ◽  
Yixian Yang ◽  
...  
Keyword(s):  
Complex Network ◽  
Finite Time ◽  
Time Synchronization ◽  
Impulsive Control ◽  
Initial Conditions ◽  
Fixed Time ◽  
Parameters Identification ◽  
Linear Matrix ◽  
Control Input ◽  
Unknown Parameters

In the paper, the fixed-time and finite-time synchronizations of multi-links complex network are investigated. Compared with finite-time synchronization, the settling time of fixed-time synchronization is independent of initial conditions. For uncertain multi-links complex networks, this paper further analyzes synchronization mechanism and unknown parameters based on the drive-response concept and finite-time stability theory. Novel synchronization control criteria and the result of parameters identification are, respectively, obtained in a finite time by utilizing Lyapunov function and linear matrix inequality (LMI). Besides, we give other two versions of finite-time synchronization and parameters identification for uncertain multi-links complex network with impulsive control input. Finally, numerical examples are given to illustrate the effectiveness of our theoretical results.

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