Synchronization criteria for complex dynamical networks with neutral-type coupling delay

2008 ◽  
Vol 387 (18) ◽  
pp. 4673-4682 ◽  
Author(s):  
Yang Dai ◽  
Yunze Cai ◽  
Xiaoming Xu
Keyword(s):  
Neutral Type ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Coupling Delay ◽  
Type Coupling

scholarly journals Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling

2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Shi Miao ◽  
Li Junmin
Keyword(s):  
Neutral Type ◽  
Complex Dynamical Networks ◽  
Adaptive Synchronization ◽  
Synchronization Control ◽  
Nonlinear Functions ◽  
Error Norm ◽  
Dynamical Networks ◽  
Derivative Coupling ◽  
Time Varying Parameters ◽  
Type Coupling

Distributed adaptive synchronization control for complex dynamical networks with nonlinear derivative coupling is proposed. The distributed adaptive strategies are constituted by directed connections among nodes. By means of the parameters separation, the nonlinear functions can be transformed into the linearly form. Then effective distributed adaptive techniques are designed to eliminate the effect of time-varying parameters and made the considered network synchronize a given trajectory in the sense of square error norm. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible. An example shows the applicability and feasibility of the approach.

scholarly journals Sampled-Data Synchronization for Complex Dynamical Networks with Time-Varying Coupling Delay and Random Coupling Strengths

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Jian-An Wang ◽  
Xin-Yu Wen
Keyword(s):  
Sampling Period ◽  
Complex Dynamical Networks ◽  
Data Synchronization ◽  
Linear Matrix ◽  
Time Varying ◽  
Sampled Data ◽  
Dynamical Networks ◽  
Coupling Delay ◽  
Coupling Strengths ◽  
Random Coupling

This paper is concerned with the problem of sampled-data synchronization for complex dynamical networks (CDNs) with time-varying coupling delay and random coupling strengths. The random coupling strengths are described by normal distribution. The sampling period considered here is assumed to be less than a given bound. By taking the characteristic of sampled-data system into account, a discontinuous Lyapunov functional is constructed, and a delay-dependent mean square synchronization criterion is derived. Based on the proposed condition, a set of desired sampled-data controllers are designed in terms of linear matrix inequalities (LMIs) that can be solved effectively by using MATLAB LMI Toolbox. Numerical examples are given to demonstrate the effectiveness of the proposed scheme.

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