Sufficient Conditions on Observability Grammian for Synchronization in Arrays of Coupled Linear Time-Varying Systems

TUNA S. E.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, vol.55, no.11, pp.2586-2590, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 11
  • Publication Date: 2010
  • Doi Number: 10.1109/tac.2010.2057930
  • Journal Name: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2586-2590
  • Keywords: 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: Yes

Abstract

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.