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Exponential synchronization of complex networks of linear systems and nonlinear oscillators: A unified analysis

  • University of Science and Technology of China
  • Australian National University
  • King Abdulaziz University
  • Western Sydney University

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number6811173
Pages (from-to)510-521
Number of pages12
JournalIEEE Transactions on Neural Networks and Learning Systems
Volume26
Issue number3
DOIs
StatePublished - 1 Mar 2015

Keywords

  • Complex networks
  • convergence rate
  • linear systems
  • nonlinear oscillators
  • synchronization
  • unified analysis.

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