Brief paper: Synchronization in networks of identical linear systems

Authors:
Luca Scardovi;Rodolphe Sepulchre
Affiliations:
Department of Mechanical and Aerospace Engineering, Princeton University, USA;Department of Electrical Engineering and Computer Science, University of Liège, Belgium
Venue:
Automatica (Journal of IFAC)
Year:
2009

Citing 4
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Abstract

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.