Synchronizing linear systems via partial-state coupling

A basic result in the synchronization of linear systems via output coupling is presented. For identical discrete-time linear systems that are detectable from their Outputs and neutrally stable, it is shown that a linear Output feedback law exists under which the Coupled systems globally asymptotically synchronize for all fixed connected (asymmetrical) network topologies. An algorithm is provided to Compute Such a feedback law based on individual system parameters. (C) 2008 Elsevier Ltd. All rights reserved.