## Synchronization in networks of identical linear systems.(English)Zbl 1183.93054

Summary: 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.

### MSC:

 93B50 Synthesis problems 93C05 Linear systems in control theory 93A14 Decentralized systems
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### References:

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