Local and global synchronization criteria for a generalized complex dynamical network model

2011 ◽  
Author(s):  
Ming Gao ◽  
Li Sheng
Keyword(s):  
Network Model ◽  
Complex Dynamical Network ◽  
Global Synchronization ◽  
Dynamical Network ◽  
Generalized Complex

scholarly journals Input and Output Passivity of Complex Dynamical Networks with General Topology

2010 ◽  
Vol 2010 ◽  
pp. 1-19
Author(s):  
Jinliang Wang
Keyword(s):  
Linear Matrix Inequalities ◽  
General Topology ◽  
Linear Matrix ◽  
Lyapunov Functionals ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Complex Dynamical Network ◽  
Dynamical Network ◽  
Input And Output ◽  
Generalized Complex

The input passivity and output passivity are investigated for a generalized complex dynamical network, in which the coupling may be nonlinear, time-varying, and nonsymmetric. By constructing some suitable Lyapunov functionals, some input and output passivity criteria are derived in form of linear matrix inequalities (LMIs) for complex dynamical network. Finally, a numerical example and its simulation are given to illustrate the efficiency of the derived results.

scholarly journals A New Model for Complex Dynamical Networks Considering Random Data Loss

Entropy ◽  
2019 ◽  
Vol 21 (8) ◽  
pp. 797
Author(s):  
Xu Wu ◽  
Guo-Ping Jiang ◽  
Xinwei Wang
Keyword(s):  
Network Model ◽  
Network Models ◽  
Lyapunov Stability Theory ◽  
Complex Dynamical Networks ◽  
Output Coupling ◽  
Data Loss ◽  
Complex Dynamical Network ◽  
Dynamical Networks ◽  
Dynamical Network ◽  
Proposed Model

Model construction is a very fundamental and important issue in the field of complex dynamical networks. With the state-coupling complex dynamical network model proposed, many kinds of complex dynamical network models were introduced by considering various practical situations. In this paper, aiming at the data loss which may take place in the communication between any pair of directly connected nodes in a complex dynamical network, we propose a new discrete-time complex dynamical network model by constructing an auxiliary observer and choosing the observer states to compensate for the lost states in the coupling term. By employing Lyapunov stability theory and stochastic analysis, a sufficient condition is derived to guarantee the compensation values finally equal to the lost values, namely, the influence of data loss is finally eliminated in the proposed model. Moreover, we generalize the modeling method to output-coupling complex dynamical networks. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed model.

Stability of a complex dynamical network model

2007 ◽  
Vol 374 (1) ◽  
pp. 478-482 ◽  
Author(s):  
Wu-Jie Yuan ◽  
Xiao-Shu Luo ◽  
Pin-Qun Jiang ◽  
Bing-Hong Wang ◽  
Jin-Qing Fang
Keyword(s):  
Network Model ◽  
Complex Dynamical Network ◽  
Dynamical Network

scholarly journals Passivity Analysis of Complex Delayed Dynamical Networks with Output Coupling

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Yan-Fang Kang ◽  
Lu-Xian Fang ◽  
Yue-Hui Zhao ◽  
Shun-Yan Ren
Keyword(s):  
Network Model ◽  
Sufficient Conditions ◽  
Output Coupling ◽  
Lyapunov Functionals ◽  
Complex Dynamical Network ◽  
Dynamical Networks ◽  
Numerical Examples ◽  
Dynamical Network ◽  
Passivity Analysis ◽  
Delayed Dynamical Networks

A new complex dynamical network model with output coupling is proposed. This paper is concerned with input passivity and output passivity of the proposed network model. By constructing new Lyapunov functionals, some sufficient conditions ensuring the input passivity and output passivity are obtained. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed results.

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