IEEE TRANSACTIONS ON AUTOMATIC CONTROL, vol.55, no.11, pp.2586-2590, 2010 (SCI-Expanded)
Article / Article
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Linear time-varying system, observability grammian, persistence of excitation, synchronization, synchronizing feedback law, MULTIAGENT SYSTEMS, DYNAMICAL-SYSTEMS, STABILITY, NETWORKS, OBSERVER, GRAPH
Middle East Technical University Affiliated:
Synchronizability of stable, output-coupled, identical, linear time-varying systems is studied. It is shown that if the observability grammian satisfies a persistence of excitation condition, then there exists a bounded, linear time-varying feedback law that yields exponential synchronization for all fixed, asymmetrical interconnections with connected graphs. Also, a weaker condition on the grammian is given for asymptotic synchronization. No assumption is made on the strength of coupling between the systems.