DocumentCode :
108858
Title :
Exponential Synchronization of Complex Networks of Linear Systems and Nonlinear Oscillators: A Unified Analysis
Author :
Jiahu Qin ; Huijun Gao ; Wei Xing Zheng
Author_Institution :
Univ. of Sci. & Technol. of China, Hefei, China
Volume :
26
Issue :
3
fYear :
2015
fDate :
Mar-15
Firstpage :
510
Lastpage :
521
Abstract :
A unified approach to the analysis of synchronization for complex dynamical networks, i.e., networks of partial-state coupled linear systems and networks of full-state coupled nonlinear oscillators, is introduced. It is shown that the developed analysis can be used to describe the difference between the state of each node and the weighted sum of the states of those nodes playing the role of leaders in the networks, thus making it feasible to consider the error dynamics for the whole network system. Different from the other various methods given in the existing literature, the analysis employed in this paper is demonstrated successfully in not only providing the consistent convergence analysis with much simpler form, but also explicitly specifying the convergence rate.
Keywords :
complex networks; convergence; linear systems; network theory (graphs); nonlinear systems; oscillators; synchronisation; complex dynamical networks; convergence analysis; convergence rate; error dynamics; exponential synchronization; full-state coupled nonlinear oscillators; partial-state coupled linear systems; weighted sum; Convergence; Couplings; Linear systems; Network topology; Oscillators; Synchronization; Topology; Complex networks; convergence rate; linear systems; nonlinear oscillators; synchronization; unified analysis; unified analysis.;
fLanguage :
English
Journal_Title :
Neural Networks and Learning Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
2162-237X
Type :
jour
DOI :
10.1109/TNNLS.2014.2316245
Filename :
6811173
Link To Document :
بازگشت