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Synchronization in Networks of Identical Linear Systems (2008)
| Citations: | 46 - 0 self |
BibTeX
@MISC{Scardovi08synchronizationin,
author = {Luca Scardovi and Rodolphe Sepulchre},
title = {Synchronization in Networks of Identical Linear Systems},
year = {2008}
}
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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. 1
