English

Almost Decouplability of any Directed Weighted Network Topology

Systems and Control 2014-08-05 v1

Abstract

This paper introduces a conception that any weighted directed network topology is almost decouplable, which can help to transform the topology into a similar form being composed of uncoupled vertices, and thus reduce the complexity of analysis for networked dynamical systems. As an example of its application, the consensus problem of linear multi-agent systems with time-varying network topologies is addressed. As a result, a necessary and sufficient condition for uniform consensus is proposed.

Keywords

Cite

@article{arxiv.1408.0355,
  title  = {Almost Decouplability of any Directed Weighted Network Topology},
  author = {Ning Cai and M. Junaid Khan},
  journal= {arXiv preprint arXiv:1408.0355},
  year   = {2014}
}