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

Author

Tuna, S. Emre

Author_Institution

Dept. of Electr. & Electron. Eng., Middle East Tech. Univ., Ankara, Turkey

Volume

55

Issue

11

fYear

2010

Firstpage

2586

Lastpage

2590

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.

Keywords

asymptotic stability; feedback; linear systems; network theory (graphs); observability; synchronisation; time-varying systems; asymmetrical interconnection; asymptotic synchronization; exponential synchronization; feedback law; graph connection; identical system; linear time varying system; observability grammian; output coupled system; stability synchronization; Adaptive control; Linear systems; Observability; Output feedback; Postal services; Stability; Sufficient conditions; Symmetric matrices; Time varying systems; Topology; Linear time-varying system; observability grammian; persistence of excitation; synchronization; synchronizing feedback law;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2010.2057930

Filename

5510123