Average contraction and synchronization of complex switched networks

Lei Wang, Qing Guo Wang

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


This paper introduces an average contraction analysis for nonlinear switched systems and applies it to investigating the synchronization of complex networks of coupled systems with switching topology. For a general nonlinear system with a time-dependent switching law, a basic convergence result is presented according to average contraction analysis, and a special case where trajectories of a distributed switched system converge to a linear subspace is then investigated. Synchronization is viewed as the special case with all trajectories approaching the synchronization manifold, and is thus studied for complex networks of coupled oscillators with switching topology. It is shown that the synchronization of a complex switched network can be evaluated by the dynamics of an isolated node, the coupling strength and the time average of the smallest eigenvalue associated with the Laplacians of switching topology and the coupling fashion. Finally, numerical simulations illustrate the effectiveness of the proposed methods.

Original languageEnglish
Article number205101
JournalJournal of Physics A: Mathematical and Theoretical
Issue number20
Publication statusPublished - 25 May 2012
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy


Dive into the research topics of 'Average contraction and synchronization of complex switched networks'. Together they form a unique fingerprint.

Cite this