Brief paper: An internal model principle is necessary and sufficient for linear output synchronization

Authors:
Peter Wieland;Rodolphe Sepulchre;Frank Allgöwer
Affiliations:
Robert Bosch GmbH, Schwieberdingen, Germany;Department of Electrical Engineering and Computer Science, University of Liège, Belgium;Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany
Venue:
Automatica (Journal of IFAC)
Year:
2011

Citing 4
Cited 4

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Abstract

Output synchronization of a network of heterogeneous linear state-space models under time-varying and directed interconnection structures is investigated. It is shown that, assuming stabilizability and detectability of the individual systems and imposing very mild connectedness assumptions on the interconnection structure, an internal model requirement is necessary and sufficient for synchronizability of the network to polynomially bounded trajectories. The resulting dynamic feedback couplings can be interpreted as a generalization of existing methods for identical linear systems.