Synchronization in Networks of Identical Linear Systems with Reduced Information

Ahstract- The synchronization problem for identical linear systems is well studied in the literature. However one of the major assumptions in the design of the distributed controller requires the knowledge about the second smallest eigenvalue of the graph Laplacian. The dynamic controller designed by Scardovi and Sepulchre [1] for time-varying graphs does not require this assumption but it requires the agents knowledge of its own output and involves more information exchange among the distributed controllers. This paper is based on a simple observation on specializing the controller of [1] to time-invariant graphs, which removes the agents requirement of the knowledge about its own output and also reduces the amount of information exchange required by the dynamic controller of [1].