Synchronization in Networks of Identical Linear Systems

Details Synchronization in Networks of Identical Linear Systems Synchronization in Networks of Identical Linear Systems

2008-05-22

arxiv.org/abs/0805.3456v1

Mathematics

Optimization and Control

19 pages, 5 figures. Submitted

Scientific paper

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling that achieves synchronization if the decoupled systems have no exponentially unstable mode and if the communication graph is uniformly connected. The result can be interpreted as a generalization of classical consensus algorithms. Stronger conditions are shown to be sufficient but to some extent, also necessary to ensure synchronization with the diffusive static output coupling often considered in the literature.

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