Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
974172 | Physica A: Statistical Mechanics and its Applications | 2015 | 9 Pages |
•Almost any weighted directed network can be transformed into a similar form composed of uncoupled vertices.•The analysis of many problems on dynamic networked systems can be simplified, especially the stability problems.•The consensus problem of systems with time-varying network topologies is addressed as an example.
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 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.