Synchronization in networks of identical linear systems |
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Authors: | Luca Rodolphe |
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Affiliation: | aDepartment of Mechanical and Aerospace Engineering, Princeton University, USA;bDepartment of Electrical Engineering and Computer Science, University of Liège, Belgium |
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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. |
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Keywords: | Synchronization Consensus Multi-agent systems Weak coupling Oscillator analysis |
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