Paper Info
Title
Pinning bipartite synchronization for coupled nonlinear systems with antagonistic interactions and switching topologies.
Abstract
This paper studies the bipartite synchronization in a network of nonlinear systems with antagonistic interactions and switching topologies. In order to obtain some conditions such that the network achieves bipartite synchronization for any initial conditions, we design a pinning scheme to pin a part of agents. Under the assumptions that all signed graphs are structurally balanced and the nonlinear system satisfies a one-sided Lipschitz condition, we derive conditions under which the network reaches bipartite synchronization for any initial conditions and arbitrary switching signals. For a general switching signal (especially the periodic switching signal), some conditions related to switching signal are obtained. Finally, we present two numerical examples to illustrate the effectiveness of the obtained results.
Year
DOI
Venue
2016
10.1016/j.sysconle.2016.03.008
Systems & Control Letters
Keywords
Field
DocType
Signed graph,Structural balance,Nonlinear systems,Pinning control
Graph,Synchronization,Signed graph,Nonlinear system,Control theory,Bipartite graph,Network topology,Lipschitz continuity,Periodic graph (geometry),Mathematics
Journal
Volume
ISSN
Citations 
94
0167-6911
8
PageRank 
References 
Authors
0.46
14
2
Name
Order
Citations
PageRank
Shidong Zhai180.46
Qingdu Li216026.78