Adaptive synchronization of fractional-order general complex dynamical networks

2014 ◽  
Author(s):  
Junmin Li ◽  
Xiaoyong Guo ◽  
Lihong Yao
Keyword(s):  
Fractional Order ◽  
Complex Dynamical Networks ◽  
Adaptive Synchronization ◽  
Dynamical Networks ◽  
General Complex

scholarly journals Adaptive Synchronization via State Predictor on General Complex Dynamic Networks

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Lijun Wang ◽  
Pingnan Ruan ◽  
Shuang Li ◽  
Xiao Han
Keyword(s):  
Nonlinear Dynamical Systems ◽  
Dynamic Networks ◽  
Complex Dynamical Networks ◽  
Adaptive Synchronization ◽  
Asymptotically Stable ◽  
Complex Dynamic ◽  
Dynamical Networks ◽  
Nonlinear Dynamical ◽  
General Complex ◽  
Fixed Topology

This paper considers the adaptive synchronization of general complex dynamic networks via state predictor based on the fixed topology for nonlinear dynamical systems. Using Lyapunov stability properties, it is proved that the complex dynamical networks with state predictor are asymptotically stable. Moreover, it is also shown that the rate of convergence of complex dynamical networks with state predictor is faster than the complex dynamical networks without state predictor.

STABILITY OF TWO TYPICAL COMPLEX DYNAMICAL NETWORKS

2008 ◽  
Vol 22 (05) ◽  
pp. 553-560 ◽  
Author(s):  
WU-JIE YUAN ◽  
XIAO-SHU LUO ◽  
PIN-QUN JIANG ◽  
BING-HONG WANG ◽  
JIN-QING FANG
Keyword(s):  
Numerical Simulation ◽  
Dissipative System ◽  
Small World ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Scale Free ◽  
Scale Free Networks ◽  
General Complex ◽  
The Stability ◽  
Theoretical Results

When being constructed, complex dynamical networks can lose stability in the sense of Lyapunov (i. s. L.) due to positive feedback. Thus, there is much important worthiness in the theory and applications of complex dynamical networks to study the stability. In this paper, according to dissipative system criteria, we give the stability condition in general complex dynamical networks, especially, in NW small-world and BA scale-free networks. The results of theoretical analysis and numerical simulation show that the stability i. s. L. depends on the maximal connectivity of the network. Finally, we show a numerical example to verify our theoretical results.

scholarly journals H∞-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Bowen Du ◽  
Dianfu Ma
Keyword(s):  
Complex Dynamical Networks ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Feedback Controllers ◽  
External Disturbances ◽  
Dynamical Networks ◽  
Attenuation Index ◽  
General Complex ◽  
Local Feedback ◽  
Theoretical Results

This paper investigates the synchronization of complex dynamical networks with coupling delays and external disturbances by applying local feedback injections to a small fraction of nodes in the whole network. Based onH∞control theory, some delay-independent and -dependent synchronization criteria with a prescribedH∞disturbances attenuation index are derived for such controlled networks in terms of linear matrix inequalities (LMIs), which guarantee that by placing a small number of feedback controllers on some nodes, the whole network can be pinned to reach network synchronization. A simulation example is included to validate the theoretical results.

scholarly journals Model reference adaptive synchronization in integration complex dynamical networks

2009 ◽  
Vol 58 (10) ◽  
pp. 6809
Author(s):  
Luo Qun ◽  
Gao Ya ◽  
Qi Ya-Nan ◽  
Wu Tong ◽  
Xu Huan ◽  
...  
Keyword(s):  
Complex Dynamical Networks ◽  
Adaptive Synchronization ◽  
Dynamical Networks ◽  
Model Reference ◽  
Model Reference Adaptive
Sign in / Sign up

Export Citation Format

Share Document